Statistical Inference Under Mixture Models

Statistical Inference Under Mixture Models

Author: Jiahua Chen

Publisher: Springer Nature

Published: 2023-12-24

Total Pages: 330

ISBN-13: 9819961416

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This book puts its weight on theoretical issues related to finite mixture models. It shows that a good applicant, is an applicant who understands the issues behind each statistical method. This book is intended for applicants whose interests include some understanding of the procedures they are using, while they do not have to read the technical derivations. At the same time, many researchers find most theories and techniques necessary for the development of various statistical methods, without chasing after one set of research papers, after another. Even though the book emphasizes the theory, it provides accessible numerical tools for data analysis. Readers with strength in developing statistical software, may find it useful.


Essential Statistical Inference

Essential Statistical Inference

Author: Dennis D. Boos

Publisher: Springer Science & Business Media

Published: 2013-02-06

Total Pages: 567

ISBN-13: 1461448182

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​This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introduction to basic asymptotic distribution theory; and modern topics like M-estimation, the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large number of examples and problems. An important goal has been to make the topics accessible to a wide audience, with little overt reliance on measure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimation and testing, Bayesian inference, basic asymptotic results) plus selections from M-estimation and related testing and resampling methodology. Dennis Boos and Len Stefanski are professors in the Department of Statistics at North Carolina State. Their research has been eclectic, often with a robustness angle, although Stefanski is also known for research concentrated on measurement error, including a co-authored book on non-linear measurement error models. In recent years the authors have jointly worked on variable selection methods. ​


Hierarchical Linear Models

Hierarchical Linear Models

Author: Stephen W. Raudenbush

Publisher: SAGE

Published: 2002

Total Pages: 520

ISBN-13: 9780761919049

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New edition of a text in which Raudenbush (U. of Michigan) and Bryk (sociology, U. of Chicago) provide examples, explanations, and illustrations of the theory and use of hierarchical linear models (HLM). New material in Part I (Logic) includes information on multivariate growth models and other topics.


Bayesian Nonparametric Data Analysis

Bayesian Nonparametric Data Analysis

Author: Peter Müller

Publisher: Springer

Published: 2015-06-17

Total Pages: 203

ISBN-13: 3319189689

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This book reviews nonparametric Bayesian methods and models that have proven useful in the context of data analysis. Rather than providing an encyclopedic review of probability models, the book’s structure follows a data analysis perspective. As such, the chapters are organized by traditional data analysis problems. In selecting specific nonparametric models, simpler and more traditional models are favored over specialized ones. The discussed methods are illustrated with a wealth of examples, including applications ranging from stylized examples to case studies from recent literature. The book also includes an extensive discussion of computational methods and details on their implementation. R code for many examples is included in online software pages.


Statistics and Data Analysis for Financial Engineering

Statistics and Data Analysis for Financial Engineering

Author: David Ruppert

Publisher: Springer

Published: 2015-04-21

Total Pages: 736

ISBN-13: 1493926144

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The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code and the advanced topics covered. Individual chapters cover, among other topics, multivariate distributions, copulas, Bayesian computations, risk management, and cointegration. Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. Practicing financial engineers will also find this book of interest.


Foundations of Statistical Inference

Foundations of Statistical Inference

Author: Yoel Haitovsky

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 227

ISBN-13: 3642574106

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This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.


Advanced Marketing Research

Advanced Marketing Research

Author: Richard Bagozzi

Publisher: John Wiley & Sons

Published: 1994-07-19

Total Pages: 434

ISBN-13: 1557865493

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Advanced Marketing Research is a companion volume to Richard Bagozzi's Principles of Marketing Research. It is intended for students on advanced marketing research courses at the graduate and postgraduate levels and on executive programs. Each chapter begins with a historical development of the topical area before moving on to advanced issues and coverage of latest developments. To aid students learning, questions and exercises are included throughout.