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Higher Order Asymptotic Theory Associated With Conditioning On Components Of A Sufficient Statistic
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Book Synopsis Higher Order Asymptotic Theory Associated with Conditioning on Components of a Sufficient Statistic by : Stephen Thursby
Download or read book Higher Order Asymptotic Theory Associated with Conditioning on Components of a Sufficient Statistic written by Stephen Thursby and published by . This book was released on 1981 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inference and Asymptotics by : D.R. Cox
Download or read book Inference and Asymptotics written by D.R. Cox and published by CRC Press. This book was released on 1994-03-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Likelihood and its many associated concepts are of central importance in statistical theory and applications. The theory of likelihood and of likelihood-like objects (pseudo-likelihoods) has undergone extensive and important developments over the past 10 to 15 years, in particular as regards higher order asymptotics. This book provides an account of this field, which is still vigorously expanding. Conditioning and ancillarity underlie the p*-formula, a key formula for the conditional density of the maximum likelihood estimator, given an ancillary statistic. Various types of pseudo-likelihood are discussed, including profile and partial likelihoods. Special emphasis is given to modified profile likelihood and modified directed likelihood, and their intimate connection with the p*-formula. Among the other concepts and tools employed are sufficiency, parameter orthogonality, invariance, stochastic expansions and saddlepoint approximations. Brief reviews are given of the most important properties of exponential and transformation models and these types of model are used as test-beds for the general asymptotic theory. A final chapter briefly discusses a number of more general issues, including prediction and randomization theory. The emphasis is on ideas and methods, and detailed mathematical developments are largely omitted. There are numerous notes and exercises, many indicating substantial further results.
Book Synopsis Higher Order Asymptotic Theory for Time Series Analysis by : Masanobu Taniguchi
Download or read book Higher Order Asymptotic Theory for Time Series Analysis written by Masanobu Taniguchi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The initial basis of this book was a series of my research papers, that I listed in References. I have many people to thank for the book's existence. Regarding higher order asymptotic efficiency I thank Professors Kei Takeuchi and M. Akahira for their many comments. I used their concept of efficiency for time series analysis. During the summer of 1983, I had an opportunity to visit The Australian National University, and could elucidate the third-order asymptotics of some estimators. I express my sincere thanks to Professor E.J. Hannan for his warmest encouragement and kindness. Multivariate time series analysis seems an important topic. In 1986 I visited Center for Mul tivariate Analysis, University of Pittsburgh. I received a lot of impact from multivariate analysis, and applied many multivariate methods to the higher order asymptotic theory of vector time series. I am very grateful to the late Professor P.R. Krishnaiah for his cooperation and kindness. In Japan my research was mainly performed in Hiroshima University. There is a research group of statisticians who are interested in the asymptotic expansions in statistics. Throughout this book I often used the asymptotic expansion techniques. I thank all the members of this group, especially Professors Y. Fujikoshi and K. Maekawa foItheir helpful discussion. When I was a student of Osaka University I learned multivariate analysis and time series analysis from Professors Masashi Okamoto and T. Nagai, respectively. It is a pleasure to thank them for giving me much of research background.
Book Synopsis Elements of Modern Asymptotic Theory with Statistical Applications by : Brendan McCabe
Download or read book Elements of Modern Asymptotic Theory with Statistical Applications written by Brendan McCabe and published by Manchester University Press. This book was released on 1993 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory in Probability and Statistics with Applications by : T. L. Lai
Download or read book Asymptotic Theory in Probability and Statistics with Applications written by T. L. Lai and published by . This book was released on 2008 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of 18 papers, many of which are surveys, on asymptotic theory in probability and statistics, with applications to a variety of problems. This volume comprises three parts: limit theorems, statistics and applications, and mathematical finance and insurance. It is suitable for graduate students in probability and statistics.
Book Synopsis Selected Statistical Papers of Sir David Cox: Volume 2, Foundations of Statistical Inference, Theoretical Statistics, Time Series and Stochastic Processes by : David Roxbee Cox
Download or read book Selected Statistical Papers of Sir David Cox: Volume 2, Foundations of Statistical Inference, Theoretical Statistics, Time Series and Stochastic Processes written by David Roxbee Cox and published by Cambridge University Press. This book was released on 2005 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir David Cox's most important papers, each the subject of a new commentary by Professor Cox.
Book Synopsis The Asymptotic Theory of Extreme Order Statistics by : János Galambos
Download or read book The Asymptotic Theory of Extreme Order Statistics written by János Galambos and published by . This book was released on 1987 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index to Theses Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards by :
Download or read book Index to Theses Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards written by and published by . This book was released on 1982 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Asymptotic Theory of Extreme Order Statistics by : Janos Galambos
Download or read book The Asymptotic Theory of Extreme Order Statistics written by Janos Galambos and published by . This book was released on 1987 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inference and Asymptotics by : D.R. Cox
Download or read book Inference and Asymptotics written by D.R. Cox and published by Routledge. This book was released on 2017-10-19 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our book Asymptotic Techniquesfor Use in Statistics was originally planned as an account of asymptotic statistical theory, but by the time we had completed the mathematical preliminaries it seemed best to publish these separately. The present book, although largely self-contained, takes up the original theme and gives a systematic account of some recent developments in asymptotic parametric inference from a likelihood-based perspective. Chapters 1-4 are relatively elementary and provide first a review of key concepts such as likelihood, sufficiency, conditionality, ancillarity, exponential families and transformation models. Then first-order asymptotic theory is set out, followed by a discussion of the need for higher-order theory. This is then developed in some generality in Chapters 5-8. A final chapter deals briefly with some more specialized issues. The discussion emphasizes concepts and techniques rather than precise mathematical verifications with full attention to regularity conditions and, especially in the less technical chapters, draws quite heavily on illustrative examples. Each chapter ends with outline further results and exercises and with bibliographic notes. Many parts of the field discussed in this book are undergoing rapid further development, and in those parts the book therefore in some respects has more the flavour of a progress report than an exposition of a largely completed theory.
Book Synopsis Statistical Higher Order Asymptotic Theory and Its Applications to Analysis of Financial Time Series by : 玉置健一郎
Download or read book Statistical Higher Order Asymptotic Theory and Its Applications to Analysis of Financial Time Series written by 玉置健一郎 and published by . This book was released on 2006 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Characterizing Interdependencies of Multiple Time Series by : Yuzo Hosoya
Download or read book Characterizing Interdependencies of Multiple Time Series written by Yuzo Hosoya and published by Springer. This book was released on 2017-10-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces academic researchers and professionals to the basic concepts and methods for characterizing interdependencies of multiple time series in the frequency domain. Detecting causal directions between a pair of time series and the extent of their effects, as well as testing the non existence of a feedback relation between them, have constituted major focal points in multiple time series analysis since Granger introduced the celebrated definition of causality in view of prediction improvement. Causality analysis has since been widely applied in many disciplines. Although most analyses are conducted from the perspective of the time domain, a frequency domain method introduced in this book sheds new light on another aspect that disentangles the interdependencies between multiple time series in terms of long-term or short-term effects, quantitatively characterizing them. The frequency domain method includes the Granger noncausality test as a special case. Chapters 2 and 3 of the book introduce an improved version of the basic concepts for measuring the one-way effect, reciprocity, and association of multiple time series, which were originally proposed by Hosoya. Then the statistical inferences of these measures are presented, with a focus on the stationary multivariate autoregressive moving-average processes, which include the estimation and test of causality change. Empirical analyses are provided to illustrate what alternative aspects are detected and how the methods introduced here can be conveniently applied. Most of the materials in Chapters 4 and 5 are based on the authors' latest research work. Subsidiary items are collected in the Appendix.
Book Synopsis Asymptotic Theory of statistical tests and estimation by : Indra Mohan Chakravarti
Download or read book Asymptotic Theory of statistical tests and estimation written by Indra Mohan Chakravarti and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Higher Order Asymptotics by : J. K. Ghosh
Download or read book Higher Order Asymptotics written by J. K. Ghosh and published by IMS. This book was released on 1994 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Royal Society of London by : Royal Society (Great Britain)
Download or read book Proceedings of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1983 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probability Matching Priors: Higher Order Asymptotics by : Gauri Sankar Datta
Download or read book Probability Matching Priors: Higher Order Asymptotics written by Gauri Sankar Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the topic of probability matching priors. It targets researchers, Bayesian and frequentist; graduate students in Statistics.
Book Synopsis Principles of Statistical Inference by : D. R. Cox
Download or read book Principles of Statistical Inference written by D. R. Cox and published by Cambridge University Press. This book was released on 2006-08-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this definitive book, D. R. Cox gives a comprehensive and balanced appraisal of statistical inference. He develops the key concepts, describing and comparing the main ideas and controversies over foundational issues that have been keenly argued for more than two-hundred years. Continuing a sixty-year career of major contributions to statistical thought, no one is better placed to give this much-needed account of the field. An appendix gives a more personal assessment of the merits of different ideas. The content ranges from the traditional to the contemporary. While specific applications are not treated, the book is strongly motivated by applications across the sciences and associated technologies. The mathematics is kept as elementary as feasible, though previous knowledge of statistics is assumed. The book will be valued by every user or student of statistics who is serious about understanding the uncertainty inherent in conclusions from statistical analyses.
