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Statistical Models Based on Counting Processes

Statistical Models Based on Counting Processes PDF Author: Per K. Andersen
Publisher: Springer Science & Business Media
ISBN: 1461243483
Category : Mathematics
Languages : en
Pages : 779

Book Description
Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.

Optimal Estimation of Parameters

Optimal Estimation of Parameters PDF Author: Jorma Rissanen
Publisher: Cambridge University Press
ISBN: 1107004748
Category : Computers
Languages : en
Pages : 171

Book Description
A comprehensive and consistent theory of estimation, including a description of a powerful new tool, the generalized maximum capacity estimator.

Statistical Models Based on Counting Processes

Statistical Models Based on Counting Processes PDF Author: Per K. Andersen
Publisher: Springer Science & Business Media
ISBN: 1461243483
Category : Mathematics
Languages : en
Pages : 779

Book Description
Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.

Mathematical Statistics

Mathematical Statistics PDF Author: Johann Pfanzagl
Publisher: Springer
ISBN: 3642310842
Category : Mathematics
Languages : en
Pages : 321

Book Description
This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.

Probability Theory and Mathematical Statistics

Probability Theory and Mathematical Statistics PDF Author: B. Grigelionis
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311231932X
Category : Mathematics
Languages : en
Pages : 752

Book Description
No detailed description available for "Probability Theory and Mathematical Statistics".

Encyclopedia of Statistical Sciences, Volume 1

Encyclopedia of Statistical Sciences, Volume 1 PDF Author:
Publisher: John Wiley & Sons
ISBN: 0471743917
Category : Mathematics
Languages : en
Pages : 722

Book Description
ENCYCLOPEDIA OF STATISTICAL SCIENCES

Testing Statistical Hypotheses

Testing Statistical Hypotheses PDF Author: E.L. Lehmann
Publisher: Springer Nature
ISBN: 3030705781
Category : Mathematics
Languages : en
Pages : 1016

Book Description
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Probability Theory and Mathematical Statistics

Probability Theory and Mathematical Statistics PDF Author: Ibragimoc
Publisher: CRC Press
ISBN: 9782919875146
Category : Mathematics
Languages : en
Pages : 336

Book Description
First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Asymptotics in Statistics

Asymptotics in Statistics PDF Author: Lucien Le Cam
Publisher: Springer Science & Business Media
ISBN: 146840377X
Category : Mathematics
Languages : en
Pages : 189

Book Description
In the summer of 1968 one of the present authors (LLC) had the pleasure of giving a sequence of lectures at the University of Mon treal. Lecture notes were collected and written out by Drs. Catherine Doleans, Jean Haezendonck and Roch Roy. They were published in French by the Presses of the University of Montreal as part of their series of Seminaires de Mathematiques Superieures. Twenty years later it was decided that a Chinese translation could be useful, but upon prodding by Professor Shanti Gupta at Purdue we concluded that the notes should be updated and rewritten in English and in Chinese. The present volume is the result of that effort. We have preserved the general outline of the lecture notes, but we have deleted obsolete material and sketched some of the results acquired during the past twenty years. This means that while the original notes concentrated on the LAN situation we have included here some results of Jeganathan and others on the LAMN case. Also included are versions of the Hajek-Le Cam asymptotic minimax and convolution theorems with some of their implications. We have not attempted to give complete coverage of the subject and have often stated theorems without indicating their proofs.

Testing Statistical Hypotheses

Testing Statistical Hypotheses PDF Author: Erich L. Lehmann
Publisher: Springer Science & Business Media
ISBN: 038727605X
Category : Mathematics
Languages : en
Pages : 795

Book Description
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Algebraic Methods in Statistics and Probability

Algebraic Methods in Statistics and Probability PDF Author: Marlos A. G. Viana
Publisher: American Mathematical Soc.
ISBN: 0821826875
Category : Mathematics
Languages : en
Pages : 354

Book Description
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.