Bayesian Statistics and its applications

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Dept of Statistics, University of Connecticut, Storrs, USA In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the application of statistics appeared to be a remote possibility Simply put, in any application area where you have lots of heterogeneous or noisy data or anywhere you need a clear understanding of your uncertainty are areas that you can use Bayesian Statistics. From discussions with experts some of the areas that have seen early adoption have been e-commerce , insurance, finance and healthcare

What is Bayesian Statistics used for? by Peadar Coyle

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Bayesian Statistics and Its Applications book. Read reviews from world's largest community for readers. In the last two decades, Bayesian Statistics has. Computational Genomics Summer Institute 2016Bayesian Statistics and its Application to Integrative Statistical GenomicsXiaoquan (William) Wen, University o.. A Bayesian Network model of VAP was built using the knowledge of causal dependencies, influences or correlations. This was derived mostly from the domain experts or structure learning algorithms. The above graph represents the causal relationship between different variables Bayesian statistics uses probability distributions on statistical parameters. In the beginning of the analysis in Bayesian approach a prior probability (that is chosen on the basis of relevant information) is attached to the parameters. After combining prior probability and our observed data, posterior probability is computed. Because of the posterior probability we can make statistical conclusions

Bayesian Statistics and Its Applications by S. K. Upadhyay and Dipak K. Dey Overview - In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the application of statistics appeared to be a remote possibility Up to 90% off Textbooks at Amazon Canada. Plus, free two-day shipping for six months when you sign up for Amazon Prime for Students Bayesian additive regression trees (BART) provides a flexible approach to fitting a variety of regression models while avoiding strong parametric assumptions. The sum-of-trees model is embedded in a Bayesian inferential framework to support uncertainty quantification and provide a principled approach to regularization through prior specification This paper summarizes Bayesian Statistics' history, concepts and applications, which are illustrated in five parts: the history of Bayesian Statistics, the weakness of Classical Statistics,.. Armed with these and similar tools, Bayesian statistics has quickly grown in popularity, and it is now well represented in all the major research journals in all branches of statistics. In our opinion, however, from the point of view of applied users, the impact of the Bayesian revolution has been less apparent

Bayesian Statistics and its Applications by Prof S K Upadhyay, 9781905740000, available at Book Depository with free delivery worldwide and Its Applications Alexander Etz Department of Cognitive Sciences, University of California, Irvine Abstract This Tutorial explains the statistical concept known as likelihood and discusses how it underlies common frequentist and Bayesian statistical methods. The article is suitable for researchers interested in understanding the basis of thei This Tutorial explains the statistical concept known as likelihood and discusses how it underlies common frequentist and Bayesian statistical methods. The article is suitable for researchers interested in understanding the basis of their statistical tools and is also intended as a resource for teachers to use in their classrooms to introduce the topic to students at a conceptual level Jaeyong Lee (2011). Bayesian nonparametric statistics. International Encyclopedia of Statistical Science, Part 2, 99-101. Jaeyong Lee (2010). Species Sampling Model and its Application to Bayesian Statistics. Chapter 6 in Frontiers of Statistical Decision Making and Bayesian Analysis: In Honor of James O. Berger Bayes' theorem provides a way to revise existing predictions or theories (update probabilities) given new or additional evidence. In finance, Bayes' theorem can be used to rate the risk of lending..

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Bayesian statistics is an approach to data analysis based on Bayes' theorem, where available knowledge about parameters in a statistical model is updated with the information in observed data Research Interests » Bayesian statistics and its applications. Bayesian statistics and its applications. Name Research Interests; Thierry Chekouo : Bayesian statistics and its applications The development of hierarchical models and Markov chain Monte Carlo (MCMC) techniques forms one of the most profound advances in Bayesian analysis since the 1970s and provides the basis for advances in virtually all areas of applied and theoretical Bayesian statistics. This book travels on a statistical journey that begins with the basic structure of Bayesian theory, and then provides details. A Course in Bayesian Statistics. Examples of applied Bayesian statistics: numerical analysis and political science. Currin, Mitchell, Morris, Ylvisaker (1991) Bayesian Prediction of Deterministic Functions, with Applications to the Design and Analysis of Computer Experiments JASA 86:953-963. Diaconis (1988) Bayesian Numerical Analysis

Frequentist statistics only treats random events probabilistically and doesn't quantify the uncertainty in fixed but unknown values (such as the uncertainty in the true values of parameters). Bayesian statistics, on the other hand, defines probability distributions over possible values of a parameter which can then be used for other purposes Practical Applications of Bayesian Reliability starts by introducing basic concepts of reliability engineering, including random variables, discrete and continuous probability distributions, hazard function, and censored data. Basic concepts of Bayesian statistics, models, reasons, and theory are presented in the following chapter

Despite the name, Bayesian networks do not necessarily imply a commitment to Bayesian statistics. Indeed, it is common to use frequentists methods to estimate the parameters of the CPDs. Rather, they are so called because they use Bayes' rule for probabilistic inference, as we explain below BME owes much of its strength to its versatile character that relies on key concepts from statistics (Bayes rule) and information theory (information maximization through maximum entropy). In the core of Bayesian statistics, prior information is a critical component for inference tasks, unlike the data-driven classical statistics approach that is based purely on sampling information (Ellison. Bayesian Statistics And Its Applications: Satyanshu K. Upadhyay, Satyanshu K. Upadhyay, Umesh Singh, Dipak K. Dey: Amazon.com.au: Book In probability theory, statistics, and machine learning, recursive Bayesian estimation, also known as a Bayes filter, is a general probabilistic approach for estimating an unknown probability density function recursively over time using incoming measurements and a mathematical process model.The process relies heavily upon mathematical concepts and models that are theorized within a study of. Having its roots in the 18th century, It became more popular in the mid 20th century for a number of applications such as animal breeding in 1950, education measurement in 1960 and 1970's, spatial statistics in 1980's and political science and marketing in 1990's

Bayesian Theory originated from an Essay of a British mathematician named Thomas Bayes in 1763, and after its development in 20th century, Bayesian Statistics has been taking a significant part in statistical study of all fields. Due to the recent breakthrough of high-dimensional integral, Bayesian Statistics has been improved and perfected, and now it can be used to solve problems that. Introduction to Bayesian Statistics, Third Edition is a textbook for upper-undergraduate or first-year graduate level courses on introductory statistics course with a Bayesian emphasis. It can also be used as a reference work for statisticians who require a working knowledge of Bayesian statistics As computer power became widespread in the later 1900s, Bayesian models and interpretation moved rapidly but unevenly from the domain of mathematical statistics into applications. Use of Bayesian models now is growing rapidly in electrophysiology To illustrate Bayesian methods explained in this study, in a second example a series of studies that examine the theoretical framework of dynamic interactionism are con-sidered. In the Discussion the advantages and disadvantages of using Bayesian statistics are reviewed, and guidelines on how to report on Bayesian statistics are provided Buy Bayesian Statistics and its Applications at Mighty Ape NZ. In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the applicatio..

What is Bayes Theorem Applications of Bayes Theore

  1. Its popularity is derived from its computational simplicity and effective performance in many modeling frameworks, including Bayesian applications where prior distributions may be elusive. The criterion was derived by Schwarz ( Ann Stat 1978, 6:461-464) to serve as an asymptotic approximation to a transformation of the Bayesian posterior probability of a candidate model
  2. The e-value, its theoretical properties and its applications have been a topic of research for the Bayesian Group at USP, the University of São Paulo, for the last 20 years, including collaborators working at UNICAMP, the State University of Campinas, UFSCar, the Federal University of São Carlos, and other universities in Brazil and around the world
  3. Poznaj Bayesian Statistics & Its Applications autorstwa S. Upadhyay. Przeczytaj opis książki Bayesian Statistics & Its Applications a także poznaj jej ocenę. Sprawdź też koniecznie recenzję Bayesian Statistics & Its Applications

Bayes Stat makes its debut at GaTech in Fall 04. This graduate course is concerned with Bayesian approach to statistical inference for the analysis of data from a variety of applications. The orientation is applied rather than theoretical, but such theory as is necessary for a proper understanding of the Bayesian methodology will be covered A Not-So-Short Introduction To Bayesian Statistics In Finance. Mathematics and Econometrics. Nov 15, 2018. By Vivek Krishnamoorthy. This post is intended to be the first of a multi-part series on Bayesian statistics and methods in quantitative finance. My write up here is a short introductory post that went rogue What the paradox is. There is a mixture of wine and water. Let x be the amount of wine divided by the amount of water. Suppose we know that x is between 1 / 3 and 3 but nothing else about x. We want the probability that x ≤ 2. Without a sample space or probability model, we have no way to calculate probabilities

This one represents sort of a wide, a broad literature on Bayesian statistics, for applications for example, in social sciences. But even in large scale machine learning, there's a lot of Bayesian statistics happening, particular using something called Bayesian parametrics, or hierarchical Bayesian modeling. So we do have some experts at MIT in. Each one of these approaches has its own limitations—checklist-based approaches are often based on worst-case assumptions (e.g. Arnold et al., 2016); professional judgments are often biased towards underestimating risk (Logan et al., 2009, 2011; Vadali et al., 2012); model input parameters need to be known, and the assumptions of a model need to be applicable in a given scenario (e.g. Find many great new & used options and get the best deals for Bayesian Statistics and Its Applications (2007, Hardcover) at the best online prices at eBay! Free shipping for many products Hierarchical Bayesian Nonparametric Models with Applications∗ Yee Whye Teh Gatsby Computational Neuroscience Unit University College London 17 Queen Square London WC1N 3AR, United Kingdom Michael I. Jordan Department of Statistics Department of Electrical Engineering and Computer Science University of California, Berkeley Berkeley, CA 94720, US Bayesian Statistics and its Applications, Eds. S. K. Upadhyay, U. Singh and D. K. Dey. Anamaya publishers: New Delhi, p 270-289. Note: preprint has some minor typos. Random Effects Graphical Models for Multiple Site Sampling Authors: Devin Johnson and Jennifer A. Hoetin

Bayesian estimation remedies several challenges inherent to trauma data, including small samples, non-normal distributions of data, and missing data. However, despite the utility of its applications in trauma research and its increasing popularity more generally, Bayesian statistics is still not common among many trauma researchers In the Bayesian literature, this approach to using noninformative priors is referred to as objective Bayesian statistics (Press, 2003) because only the data determine the posterior results. Using the objective Bayesian method, one can still benefit from using Bayesian statistics as will be explained throughout the study Frequentist statistics, the more popular structure of statistics, has actually been understood to oppose Bayesian statistics due to its treatment of the criteria as a random variable, and its usage of subjective info in developing presumptions on these specifications Bayesian Statistics for Small Area Estimation 3 area and another one which re ects likely correlation between neighbouring re-gions. Note that disease mapping applications are based on data available on disease status for all individuals in every area, whilst Small Area Estimatio

Bayesian Statistics Explained in Simple English For Beginner

of practical applications, in problems in computational biology, computer vision and natural language processing. 1 Introduction Hierarchical modeling is a fundamental concept in Bayesian statistics. The basic idea is that parameters are endowed with distributions which may themselves introduce new parameters, and this construction recurses BAYESIAN IMAGE RESTORATION, WITH TWO APPLICATIONS IN SPATIAL STATISTICS* ** JULIAN BESAG 1.**, JEREMY YORK 1 AND ANNIE MOLLII~ 2 1Departraent of Statistics ON-22, University of Washington, Seattle, WA 98195, U.S.A. 2Institut Gustave Roussy, INSERM U287, 94805 ViUejuif Cedex, Franc Yeah, region for Bayesian was just because--I mean, the confidence intervals, when we're frequentist, we tend to make them intervals, because we want--but when you're Bayesian, and you're doing this level set thing, you cannot really guarantee, unless its [INAUDIBLE] is going to be an interval. So region is just a way to not have to say. Bayesian additive regression trees (BART) provides a flexible approach to fitting a variety of regression models while avoiding strong parametric assumptions. The sum-of-trees model is embedded in a Bayesian inferential framework to support uncertainty quantification and provide a principled approach to regularization through prior specification. This article presents the basic approach and. Bayesian interpretation of observations began in the early 1700s, and scientific electrophysiology began in the late 1700s. For two centuries these two fields developed mostly separately. In part that was because quantitative Bayesian interpretation, in principle a powerful method of relating measur

AIMS AND SCOPE OF JOURNAL: The Annual Review of Statistics and Its Application informs statisticians, and users of statistics about major methodological advances and the computational tools that allow for their implementation. The Annual Review of Statistics and Its Application debuted in the 2016 Release of the Journal Citation Report (JCR) with an Impact Factor of 3.045 Bayesian Statistics and its Applications von Prof S K Upadhyay, Prof Dipak K Dey (ISBN 978-1-905740-00-0) bestellen. Schnelle Lieferung, auch auf Rechnung - lehmanns.d We discussed various applications of Bayesian Network that justifies its versatile nature. We covered all the core applications of Bayesian Network, still, is we missed any, feel free to share it in the comment section below. Now, it's time to implement Functions to Generate Normal Distribution in Bayesian statistics is entirely based on probability theory, viewed as a form of extended logic m(x), where m(x) ≡ Z Θ p(x|θ) π(θ) dθ. All the basic tools of Bayesian statistics are direct applications of probability theory. important to check its Bayesian properties for a reasonable choice of prior Offering a rich diversity of models, Bayesian phylogenetics allows evolutionary biologists, systematists, ecologists, and epidemiologists to obtain answers to very detailed phylogenetic questions. Suitable for graduate-level researchers in statistics and biology, Bayesian Phylogenetics: Methods, Algorithms, and Applications presents a snapshot of current trends in Bayesian phylogenetic.

Bayesian statistics. Jeffreys (1931, 1939) has pioneered extensively in applications of Bayes' theorem to statistical problems. He is one of the founders of Bayesian statistics, though he might reject identification with the viewpoint of this paper because of its espousal of personal probabilities. These two, inevitably inadequate Find helpful customer reviews and review ratings for Bayesian Statistics And Its Applications at Amazon.com. Read honest and unbiased product reviews from our users We will introduce the Bayesian methodology and point out its differences from the frequentist approach to statistics. We will review methods for specifying prior distributions and summarising the posterior distributions. From a computational point of view, we will cover the most important numerical techniques that are used to calibrate Bayesian. An Intuitive (and Short) Explanation of Bayes' Theorem. Bayes' theorem was the subject of a detailed article. The essay is good, but over 15,000 words long — here's the condensed version for Bayesian newcomers like myself: Tests are not the event. We have a cancer test, separate from the event of actually having cancer Argument for Bayesian statistics The philosophical argument in favor of Bayesian statistics is straightforward [Lin00]: 1. Statistics is the study of uncertainty 2. Uncertainty should be measured by probabilities, which are manipulated using probability calculus (sum and product rules) 3. Probabilities can be used to describe the uncertainty of.

Bayes and the Law Annual Review of Statistics and Its

There are many reasons for adopting Bayesian methods, and their applications appear in diverse fields. Many people advocate the Bayesian approach because of its philosophical consistency. Various fundamental theorems show that if a person wants to make consistent and sound decisions in the face of uncertainty, then the only way to do so is to use Bayesian methods In recent years the Bayesian approach has gained favour as the advantages of its greater power are recognised in many applications. Nevertheless the Achilles' Heel of Bayesian statistics is ever-present because this weakness is created right at the outset of any analysis - i.e. the subjective prior distribution Applications of the Bayesian-Weibull Distribution in Life Data Analysis [Editor's Note: This article has been updated since its original publication to reflect a more recent version of the software interface.] One of the new features of Weibull++ is support for Bayesian statistics

In addition to oncology, Bayesian statistics have wide applications to other scientific fields, such as genomics,10 health economics,11,12 engineering, decision making,13,14 and policy evaluation.15 Nevertheless, a ma-jority of physicians and scientists are still unaware of th Its focus isn't strictly on Bayesian statistics, so it lacks some methodology, but David MacKay's Information Theory, Inference, and Learning Algorithms made me intuitively grasp Bayesian statistics better than others - most do the how quite nicely, but I felt MacKay explained why better

BRAG aims to foster frontier research in Bayesian methodology and computation and the application of these approaches to real-world problems. Director, Professor Kerrie Mengersen has nurtured a group of around thirty postgraduate and postdoctoral researchers on statistical methodology and its applications and has maintained this Bayesian Research and Applications Group (BRAG) group for around. The references above are a great starting point and I've noticed an important step forward in my learning path by trying to apply Bayesian methods to my own work. For me, its fundamentals are more intuitive and transparent, and overall simpler to grasp (at least conceptually), but considerably harder to apply. Ilan Reinstein

Applied Bayesian Forecasting and Time Series Analysis

Bayes' theorem - Wikipedi

In addition to oncology, Bayesian statistics have wide applications to other scientific fields, such as genomics, 10 health economics, 11, 12 engineering, decision making, 13, 14 and policy evaluation. 15 Nevertheless, a majority of physicians and scientists are still unaware of the advantages and limitations of Bayesian statistics Thanks to its appealing mathematical properties and its wide interpretability, Bayesian statistics has nowadays found widespread appreciation by the most diverse scientific communities, as witnessed by the countless registered applications in virtually any applied discipline Mathematical statistics uses two major paradigms, conventional (or frequentist), and Bayesian. Bayesian methods provide a complete paradigm for both statistical inference and decision mak-ing under uncertainty. Bayesian methods may be derived from an axiomatic system, and hence provideageneral, coherentmethodology If you want to develop your ML and AI skills, you will need to pick up some statistics and before you have got more than a few steps down that path you will find (whether you like it or not) that you have entered the Twilight Zone that is the frequentist/Bayesian religious war the applications, causality is an important part of the model construction, and in other applications, causality is not an issue. I hope that this book will be studied by everyone who is about to model a domain containing causality with inherent uncertainty: this book will teach him/her if and how to use Bayesian networks. Finn V. Jense

Bayesian network - Wikipedi

  1. Theory of Probability & Its Applications 53:3, 430-442. Abstract | PDF (262 KB) (2009) Asymptotic Optimality in Bayesian Changepoint Detection Problems under Global False Alarm Probability Constraint
  2. Regression analysis and hierarchical methods. This unique guide will help students develop the statistical confidence and skills to put the Bayesian formula into practice, from the basic concepts of statistical inference to complex applications of analyses. Chapter 1: How to best use this book. The purpose of this book
  3. The Bayesian information criterion BIC is one of the most widely known and pervasively used tools in statistical model selection. Its popularity is derived from its computational simplicity and effective performance in many modeling frameworks, including Bayesian applications where prior distributions may be elusive

Buy Bayesian Statistics and its Applications at Mighty Ape Australia. In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the applicatio.. This coin flip example illustrates the fundamental aspects of Bayesian inference, and some of its pros and cons. L. J. Savage (1954) posited a simple set of axioms and argued that all statistical inferences should logically be Bayesian. However, most practical applications of statistics tend to be non-Bayesian

Bayesian Statistics and Its Applications by S

  1. Bayesian revival of the 1950s and especially during the 1960s. Today, Bayesian methods are integrated into both the fabric of statistical thinking within the eld of statistics and the methodology used in a broad array of applications. The ubiquity of Bayesian statistics is illustrated by the name of the International Society for Bayesian Analysis
  2. Abstract. Bayesian optimization is an approach for globally optimizing black-box functions that are expensive to evaluate, non-convex, and possibly noisy. Recently, Bayesian optimization has been used with great effectiveness for applications like tuning the hyperparameters of machine learning algorithms and automatic A/B testing for websites
  3. Computational Statistics & Data Analysis. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home Browse by Title Periodicals Computational Statistics & Data Analysis Vol. 55, No. 3 A Bayesian hybrid Huberized support vector machine and its applications in high-dimensional medical data Browse by Title Periodicals Computational Statistics & Data Analysis Vo
  4. Bayesian Statistics: Mixture Models introduces you to an important class of statistical models. The course is organized in five modules, each of which contains lecture videos, short quizzes, background reading, discussion prompts, and one or more peer-reviewed assignments
  5. Bayesian Theory and Applications. 720. by Paul Damien (Editor), Petros Dellaportas (Editor), Nicholas G. Polson (Editor), David A. Stephens (Editor) Paul Damien. English 0198739079. 73.0 In Stock

William Wen: Bayesian Statistics and its Application to

Holes in Bayesian Statistics Andrew Gelmany Yuling Yaoz 13 Oct 2020 Abstract Every philosophy has holes, and it is the responsibility of proponents of a philosophy to point out these problems. Here are a few holes in Bayesian data analysis: (1) the usual rules of conditional probability fail in the quantum realm, (2) at or weak priors lead to. The Bayesian approach is one alternative for estimating correlation coefficients in which knowledge from previous studies is incorporated to improve estimation. The purpose of this paper is to illustrate the utility of the Bayesian approach for estimating correlations using prior knowledge. The use of the hyperbolic tangent transformation (ρ = tanh ξ and r = tanh z) enables the investigator. In any case, the evolution of personal computers allows nowadays the implementation of sophisticated analysis based on the subjective approach to statistical inference (Fienberg, 2006) in a similar vein the linear models are now plausible compared to the past (Cohen, Cohen, West, & Aiken, 2003) so time will tell whether Bayesian statistics becomes a key element into the researchers' toolkit Graph Bayesian Optimization: Algorithms, Evaluations and Applications. Network structure optimization is a fundamental task in complex network analysis. However, almost all the research on Bayesian optimization is aimed at optimizing the objective functions with vectorial inputs. In this work, we first present a flexible framework, denoted.

Top 10 Real-world Bayesian Network Applications - Know the

Find helpful learner reviews, feedback, and ratings for Bayesian Statistics: From Concept to Data Analysis from University of California, Santa Cruz. Read stories and highlights from Coursera learners who completed Bayesian Statistics: From Concept to Data Analysis and wanted to share their experience. Good intro to Bayesian Statistics. Covers the basic concepts Bayesian Statistics the Fun Way: Understanding Statistics and Probability with Star Wars, Lego, and Rubber Ducks, by Will Kurt (2019 No Starch Press) is an excellent introduction to subjects critical to all data scientists. Will Kurt, in fact, is a data scientist! I always advise my data science classes at UCLA to engage these important subjects in order to obtain a well-rounded exposure to. Bayesian inference is a statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true. The name Bayesian comes from the frequent use of Bayes' theorem in the inference process. Bayes' theorem was derived from the work of the Reverend Thomas Bayes Amazon.in - Buy Bayesian Statistics and its Applications book online at best prices in India on Amazon.in. Read Bayesian Statistics and its Applications book reviews & author details and more at Amazon.in. Free delivery on qualified orders

Bayesian Statistics - Limits and its Application in

Your 'Bayesian inference' represents statistical estimation as the conditional distribution of parameters and unobserved data, given observed data from Objections to Bayesian statistics is certainly concise, but it may be a bit too concise for managers and analysts who have some understanding of statistics. Your Why we (usually) don't have to worry about multiple. Bayesian Statistics. Bayesian statistics is perhaps the oldest branch of statistics, tracing its roots to a paper from 1763 by a Presbyterian minister named Thomas Bayes. The method he came up with allows for the accumulation of information via a simple formula involving probability distributions

(PDF) Assessing Dynamic Effects on a Bayesian Matrix(PDF) Classical and Bayesian methods of estimation for

Bayesian Statistics and Its Applications - Books-A-Millio

Holes in Bayesian Statistics Andrew Gelmany Yuling Yao z 11 Feb 2020 Abstract Every philosophy has holes, and it is the responsibility of proponents of a philosophy to point out these problems. Here are a few holes in Bayesian data analysis: (1) the usual rules of conditional probability fail in the quantum realm, (2) at or weak priors lead to. We survey possible applications of this new interpretation, and discuss insights shedding light on dropout's proper-ties. This interpretation of dropout as a Bayesian model offers an explanation to some of its properties, such as its ability to avoid over-fitting. Further, our insights al-low us to treat MLPs with dropout as fully Bayesian mod Approximate Bayesian computation with functional statistics, Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 12(1), pages 17-37, March. Creel, Michael & Kristensen, Dennis, 2016 Bayesian Statistics and its Applications by unknown from Flipkart.com. Only Genuine Products. 30 Day Replacement Guarantee. Free Shipping. Cash On Delivery

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