Download or read book Competitive Tests and Estimators for Properties of Distributions written by Hirakendu Das and published by . This book was released on 2012 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive competitive tests and estimators for several properties of discrete distributions, based on their i.i.d. sequences. We focus on symmetric properties that depend only on the multiset of probability values in the distributions and not on specific symbols of the alphabet that assume these values. Many applications of probability estimation, statistics and machine learning involve such properties. Our method of probability estimation, called profile maximum likelihood (PML), involves maximizing the likelihood of observing the profile of the given sequences, i.e., the multiset of symbol counts in the sequences. It has been used successfully for universal compression of large alphabet data sources, and has been shown empirically to perform well for other probability estimation problems like classification and distribution multiset estimation. We provide competitive estimation guarantees for the PML method for several such problems. For testing closeness of distributions, i.e., finding whether two given i.i.d. sequences of length n are generated by the same distribution or by two different ones, our schemes have an error probability of at most sqrt(delta) * exp(7n^(2/3)) whenever the best possible error probability is delta = exp( -14n^(2/3)). The running time of our scheme is O(n). We do not make any assumptions on the distributions, including on their support size. In terms of sample complexity, this implies that if there is a closeness test which takes sequences of length n and has error probability at most delta, our tests have the same error guarantee on sequences of length n' = O(\max{n^3/log^3(1/4 delta), n}). Similar results are implied for the related problem of classification. For finding the probability multiset of a discrete distribution using a length-n i.i.d. sequence drawn from it, we show the following guarantee for the PML-based estimator. For any class of distributions and any distance metric on their probability multisets, if there is an estimator that approximates all distributions in this class to within a distance of epsilon 0 with error probability at most delta

Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Comparison of Classification and Hypothesis Testing Procedures for Choosing Between Competing Families of Distributions Including a Survey of the Goodness of Fit Tests written by Alan R. Dyer and published by . This book was released on 1971 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Procedures for determining from which of two parametric families a random sample has been drawn are considered. Primary attention is focused on families which are location and/or scale invariant. The procedures are compared using Monte Carlo sampling techniques for six pairs of distributions. Certain procedures based on sample spacing are shown to compare quite favorably with the 'best' invariant and likelihood ratio procedures. Procedures are considered in both the classification and hypothesis testing frameworks. (Author).

Download or read book Mathematical Statistics With Applications written by Asha Seth Kapadia and published by CRC Press. This book was released on 2017-07-12 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical statistics typically represents one of the most difficult challenges in statistics, particularly for those with more applied, rather than mathematical, interests and backgrounds. Most textbooks on the subject provide little or no review of the advanced calculus topics upon which much of mathematical statistics relies and furthermore contain material that is wholly theoretical, thus presenting even greater challenges to those interested in applying advanced statistics to a specific area. Mathematical Statistics with Applications presents the background concepts and builds the technical sophistication needed to move on to more advanced studies in multivariate analysis, decision theory, stochastic processes, or computational statistics. Applications embedded within theoretical discussions clearly demonstrate the utility of the theory in a useful and relevant field of application and allow readers to avoid sudden exposure to purely theoretical materials. With its clear explanations and more than usual emphasis on applications and computation, this text reaches out to the many students and professionals more interested in the practical use of statistics to enrich their work in areas such as communications, computer science, economics, astronomy, and public health.

Download or read book A Comparison of Estimators for Distributions with Monotone Likelihood Ratio Property written by Debra Lynn Hydorn and published by . This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bayesian Inference and Computation in Reliability and Survival Analysis written by Yuhlong Lio and published by Springer Nature. This book was released on 2022-08-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian analysis is one of the important tools for statistical modelling and inference. Bayesian frameworks and methods have been successfully applied to solve practical problems in reliability and survival analysis, which have a wide range of real world applications in medical and biological sciences, social and economic sciences, and engineering. In the past few decades, significant developments of Bayesian inference have been made by many researchers, and advancements in computational technology and computer performance has laid the groundwork for new opportunities in Bayesian computation for practitioners. Because these theoretical and technological developments introduce new questions and challenges, and increase the complexity of the Bayesian framework, this book brings together experts engaged in groundbreaking research on Bayesian inference and computation to discuss important issues, with emphasis on applications to reliability and survival analysis. Topics covered are timely and have the potential to influence the interacting worlds of biostatistics, engineering, medical sciences, statistics, and more. The included chapters present current methods, theories, and applications in the diverse area of biostatistical analysis. The volume as a whole serves as reference in driving quality global health research.

Download or read book Estimation and Testing of Parameters of Distributions by Order Statistics written by Ahmad ʻIbādah Sarhān and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Estimation and Testing Problems in a Wishart Distribution written by Jegadevan Balendran Selliah and published by . This book was released on 1964 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Download or read book Large Sample Methods in Statistics 1994 written by Pranab K. Sen and published by CRC Press. This book was released on 2017-11-22 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text bridges the gap between sound theoretcial developments and practical, fruitful methodology by providing solid justification for standard symptotic statistical methods. It contains a unified survey of standard large sample theory and provides access to more complex statistical models that arise in diverse practical applications.

Download or read book Statistical Distributions in Scientific Work written by Charles Taillie and published by Springer Science & Business Media. This book was released on 1981-09-30 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Trieste, Italy, July 10-August 1, 1980

Download or read book Testing Properties of Distributions written by Tugkan Batu and published by . This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Exact Distribution Analysis in Linear Simultaneous Equation Models written by R. L. Basmann and published by JAI Press(NY). This book was released on 1983 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Recent Advances in Life Testing and Reliability written by N. Balakrishnan and published by CRC Press. This book was released on 2023-07-21 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents chapters written on the areas of life-testing and reliability by many well-known researchers who have contributed significantly to these two areas over the years. Chapters cover a wide range of topics such as inference under censoring and truncation, reliability growth models, designs to improve quality, prediction techniques, Bayesian analysis of reliability, multivariate methods, accelerated testing, and more. The book is written in an easy-to-follow style, first presenting the necessary theoretical details and then illustrating the methods with a numerical examples wherever possible. Many tables and graphs that are essential for the use of some of the new methodologies are presented throughout the volume. Numerous examples provide the reader with a clear understanding of the methods presented as well as with insight into the applications of these results.

Download or read book Classical Competing Risks written by Martin J. Crowder and published by CRC Press. This book was released on 2001-05-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: If something can fail, it can often fail in one of several ways and sometimes in more than one way at a time. There is always some cause of failure, and almost always, more than one possible cause. In one sense, then, survival analysis is a lost cause. The methods of Competing Risks have often been neglected in the survival analysis literature.

Download or read book G Families of Probability Distributions written by Mir Masoom Ali and published by CRC Press. This book was released on 2023-03-31 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters. The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to: Develop new univariate continuous and discrete G families of probability distributions. Develop new bivariate continuous and discrete G families of probability distributions. Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.