Introductory Statistical Inference with the Likelihood Function

Charles A. Rohde (Autor)

Buch | Softcover

XVI, 332 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-37481-9 (ISBN)

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This textbook covers the fundamentals of statistical inference and statistical theory including Bayesian and frequentist approaches and methodology possible without excessive emphasis on the underlying mathematics. This book is about some of the basic principles of statistics that are necessary to understand and evaluate methods for analyzing complex data sets. The likelihood function is used for pure likelihood inference throughout the book. There is also coverage of severity and finite population sampling. The material was developed from an introductory statistical theory course taught by the author at the Johns Hopkins University's Department of Biostatistics. Students and instructors in public health programs will benefit from the likelihood modeling approach that is used throughout the text. This will also appeal to epidemiologists and psychometricians. After a brief introduction, there are chapters on estimation, hypothesis testing, and maximum likelihood modeling. The book concludes with sections on Bayesian computation and inference. An appendix contains unique coverage of the interpretation of probability, and coverage of probability and mathematical concepts.

Charles A. Rohde received his PhD at N.C. State in 1964 and has been at Johns Hopkins since then. He served as Department Chair for the Department of Biostatistics from 1981 to 1996. Professor Rohde's areas of research have included generalized inverses of matrices, linear models and pure likelihood methods.

Contents.- Preface.- Introduction.- The Statistical Approach.- Estimation.- Interval Estimation.- Hypothesis Testing.- Maximum Likelihood: Basic Results.- Linear Model.- Other Estimation Methods.- Decision Theory.- Sufficiency.- Conditionality.- Statistical Principles.- The Practice of Statistics.- Bayesian Statistics: Philosophy and Theory.- Priors.- Bayesian Statistics: Computation.- Bayesian Inference: Miscellaneous.- Sufficiency.- A Probability and Mathematical Concepts.

Erscheinungsdatum	03.08.2016
Zusatzinfo	XVI, 332 p. 12 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Statistik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Studium ► Querschnittsbereiche ► Epidemiologie / Med. Biometrie
Schlagworte	Bayesian inference • Bayes' Theorem Biostatistics • Biostatistics Methodology • Likelihood Function • Likelihood Modeling • mathematics and statistics • Pure Likelihood Inference • Severity • Statistical Inference for Biology • Statistical Theory and Methods • Statistics for Life Sciences, Medicine, Health Sci • Statistics, general
ISBN-10	3-319-37481-8 / 3319374818
ISBN-13	978-3-319-37481-9 / 9783319374819
Zustand	Neuware