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Maximum Likelihood In The Exponential Family
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Book Synopsis Information and Exponential Families by : O. Barndorff-Nielsen
Download or read book Information and Exponential Families written by O. Barndorff-Nielsen and published by John Wiley & Sons. This book was released on 2014-05-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published by Wiley in 1978, this book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.
Book Synopsis Maximum Likelihood in the Exponential Family by : Robert Patrick Kelley
Download or read book Maximum Likelihood in the Exponential Family written by Robert Patrick Kelley and published by . This book was released on 1977 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Statistical Exponential Families by : Lawrence D. Brown
Download or read book Fundamentals of Statistical Exponential Families written by Lawrence D. Brown and published by IMS. This book was released on 1986 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis IPython Interactive Computing and Visualization Cookbook by : Cyrille Rossant
Download or read book IPython Interactive Computing and Visualization Cookbook written by Cyrille Rossant and published by Packt Publishing Ltd. This book was released on 2014-09-25 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to anyone interested in numerical computing and data science: students, researchers, teachers, engineers, analysts, hobbyists... Basic knowledge of Python/NumPy is recommended. Some skills in mathematics will help you understand the theory behind the computational methods.
Book Synopsis Improved Maximum Likelihood Estimation in One-parameter Exponential Family Models by : Gauss Moutinho Cordeiro
Download or read book Improved Maximum Likelihood Estimation in One-parameter Exponential Family Models written by Gauss Moutinho Cordeiro and published by . This book was released on 1997 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maximum Likelihood Estimation for Exponential Families by : Weiwen Miao
Download or read book Maximum Likelihood Estimation for Exponential Families written by Weiwen Miao and published by . This book was released on 1995 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exponential Families by : Ole E. Barndorff-Nielsen
Download or read book Exponential Families written by Ole E. Barndorff-Nielsen and published by . This book was released on 1980 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Alternative Strategies to Maximum Likelihood Estimation of the Generalised Exponential Family by : Alexander Bakker
Download or read book Alternative Strategies to Maximum Likelihood Estimation of the Generalised Exponential Family written by Alexander Bakker and published by . This book was released on 1995 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory and Mathematical Statistics - 3rd Edition by : Marco Taboga
Download or read book Lectures on Probability Theory and Mathematical Statistics - 3rd Edition written by Marco Taboga and published by Createspace Independent Publishing Platform. This book was released on 2017-12-08 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of 80 short and self-contained lectures covering most of the topics that are usually taught in intermediate courses in probability theory and mathematical statistics. There are hundreds of examples, solved exercises and detailed derivations of important results. The step-by-step approach makes the book easy to understand and ideal for self-study. One of the main aims of the book is to be a time saver: it contains several results and proofs, especially on probability distributions, that are hard to find in standard references and are scattered here and there in more specialistic books. The topics covered by the book are as follows. PART 1 - MATHEMATICAL TOOLS: set theory, permutations, combinations, partitions, sequences and limits, review of differentiation and integration rules, the Gamma and Beta functions. PART 2 - FUNDAMENTALS OF PROBABILITY: events, probability, independence, conditional probability, Bayes' rule, random variables and random vectors, expected value, variance, covariance, correlation, covariance matrix, conditional distributions and conditional expectation, independent variables, indicator functions. PART 3 - ADDITIONAL TOPICS IN PROBABILITY THEORY: probabilistic inequalities, construction of probability distributions, transformations of probability distributions, moments and cross-moments, moment generating functions, characteristic functions. PART 4 - PROBABILITY DISTRIBUTIONS: Bernoulli, binomial, Poisson, uniform, exponential, normal, Chi-square, Gamma, Student's t, F, multinomial, multivariate normal, multivariate Student's t, Wishart. PART 5 - MORE DETAILS ABOUT THE NORMAL DISTRIBUTION: linear combinations, quadratic forms, partitions. PART 6 - ASYMPTOTIC THEORY: sequences of random vectors and random variables, pointwise convergence, almost sure convergence, convergence in probability, mean-square convergence, convergence in distribution, relations between modes of convergence, Laws of Large Numbers, Central Limit Theorems, Continuous Mapping Theorem, Slutsky's Theorem. PART 7 - FUNDAMENTALS OF STATISTICS: statistical inference, point estimation, set estimation, hypothesis testing, statistical inferences about the mean, statistical inferences about the variance.
Book Synopsis Introduction to the Theory of Regular Exponential Families by : Søren Johansen
Download or read book Introduction to the Theory of Regular Exponential Families written by Søren Johansen and published by . This book was released on 1979 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maximum Likelihood Estimation for Exponential Family Auto-models by : R. G. Aykroyd
Download or read book Maximum Likelihood Estimation for Exponential Family Auto-models written by R. G. Aykroyd and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Estimation for Truncated Exponential Families by : Masafumi Akahira
Download or read book Statistical Estimation for Truncated Exponential Families written by Masafumi Akahira and published by Springer. This book was released on 2017-07-26 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new findings on nonregular statistical estimation. Unlike other books on this topic, its major emphasis is on helping readers understand the meaning and implications of both regularity and irregularity through a certain family of distributions. In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. This focus includes the (truncated) Pareto distribution, which is widely used in various fields such as finance, physics, hydrology, geology, astronomy, and other disciplines. The family is essential in that it links both regular and nonregular distributions, as it becomes a regular exponential family if the truncation parameter is known. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter. In order to obtain more information on the truncation, the Bayesian approach is also considered. Further, the application to some useful truncated distributions is discussed. The illustrated clarification of the nonregular structure provides researchers and practitioners with a solid basis for further research and applications.
Book Synopsis Maximum Likelihood for Social Science by : Michael D. Ward
Download or read book Maximum Likelihood for Social Science written by Michael D. Ward and published by Cambridge University Press. This book was released on 2018-11-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a practical introduction to the method of maximum likelihood as used in social science research. Ward and Ahlquist focus on applied computation in R and use real social science data from actual, published research. Unique among books at this level, it develops simulation-based tools for model evaluation and selection alongside statistical inference. The book covers standard models for categorical data as well as counts, duration data, and strategies for dealing with data missingness. By working through examples, math, and code, the authors build an understanding about the contexts in which maximum likelihood methods are useful and develop skills in translating mathematical statements into executable computer code. Readers will not only be taught to use likelihood-based tools and generate meaningful interpretations, but they will also acquire a solid foundation for continued study of more advanced statistical techniques.
Book Synopsis Exponential Families in Theory and Practice by : Bradley Efron
Download or read book Exponential Families in Theory and Practice written by Bradley Efron and published by Cambridge University Press. This book was released on 2022-12-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced master's students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesn't require advanced mathematical preparation.
Book Synopsis Maximum Likelihood Estimation for Exponential Families with Non-linear Constraints on the Natural Parameter Space by : Lung-Ying Lin
Download or read book Maximum Likelihood Estimation for Exponential Families with Non-linear Constraints on the Natural Parameter Space written by Lung-Ying Lin and published by . This book was released on 1976 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exponential Families and Conditioning by : Ole E. Barndorff-Nielsen
Download or read book Exponential Families and Conditioning written by Ole E. Barndorff-Nielsen and published by . This book was released on 1973 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Maximum likelihood theory and applications for distributions generated when observing a function of an exponential family variable by : Rolf Sundberg
Download or read book Maximum likelihood theory and applications for distributions generated when observing a function of an exponential family variable written by Rolf Sundberg and published by . This book was released on 1972 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
