Howard G. Tucker's Books

A Graduate Course in Probability

By: Howard G. Tucker

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A Graduate Course in Probability

By: Howard G. Tucker

Suitable for a graduate course in analytic probability, this text requires only a limited background in real analysis. Topics include probability spaces and distributions, stochastic independence, basic limiting options, strong limit theorems for independent random variables, central limit theorem, conditional expectation and Martingale theory, and an introduction to stochastic processes"--

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Page Count

290

Publisher

Courier Corporation

Published Date

ISBN 10

0486493032

ISBN 13

9780486493039

A Graduate Course in Probability

By: Howard G. Tucker

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A Graduate Course in Probability

By: Howard G. Tucker

Probability and Mathematical Statistics: A Series of Monographs and Textbooks: A Graduate Course in Probability presents some of the basic theorems of analytic probability theory in a cohesive manner. This book discusses the probability spaces and distributions, stochastic independence, basic limiting operations, and strong limit theorems for independent random variables. The central limit theorem, conditional expectation and martingale theory, and Brownian motion are also elaborated. The prerequisite for this text is knowledge of real analysis or measure theory, particularly the Lebesgue dominated convergence theorem, Fubini's theorem, Radon-Nikodym theorem, Egorov's theorem, monotone convergence theorem, and theorem on unique extension of a sigma-finite measure from an algebra to the sigma-algebra generated by it. This publication is suitable for a one-year graduate course in probability given in a mathematics program and preferably for students in their second year of graduate work.

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Page Count

288

Publisher

Academic Press

Published Date

ISBN 10

1483220508

ISBN 13

9781483220505

An Introduction to Probability and Mathematical Statistics

By: Howard G. Tucker

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An Introduction to Probability and Mathematical Statistics

By: Howard G. Tucker

An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. Organized into 13 chapters, this book begins with an overview of the definition of function. This text then examines the notion of conditional or relative probability. Other chapters consider Cochran's theorem, which is of extreme importance in that part of statistical inference known as analysis of variance. This book discusses as well the fundamental principles of testing statistical hypotheses by providing the reader with an idea of the basic problem and its relation to practice. The final chapter deals with the problem of estimation and the Neyman theory of confidence intervals. This book is a valuable resource for undergraduate university students who are majoring in mathematics. Students who are majoring in physics and who are inclined toward abstract mathematics will also find this book useful.

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Page Count

241

Publisher

Academic Press

Published Date

ISBN 10

1483225143

ISBN 13

9781483225142

Mathematical Methods In Sample Surveys

By: Howard G Tucker

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Mathematical Methods In Sample Surveys

By: Howard G Tucker

This book is about both the mathematics of sample surveys and about sample surveys. The mathematics is both elementary and rigorous. It is suitable for a one year junior-senior level course for mathematics and statistics majors as well as for students in the social sciences who are not handicapped by a fear of proofs in mathematics. It requires no previous knowledge of statistics, and it could actually serve as an introduction to statistics. A sizeable part of the book covers the discrete probability needed for the sampling methods covered. Topics then covered are: simple random sampling, sampling with unequal probabilities, linear relationships, stratified sampling, cluster sampling and two-stage sampling.

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Page Count

218

Publisher

World Scientific

Published Date

ISBN 10

981449917X

ISBN 13

9789814499170

Book's by Howard G. Tucker

A Graduate Course in Probability

A Graduate Course in Probability

A Graduate Course in Probability

A Graduate Course in Probability

An Introduction to Probability and Mathematical Statistics

An Introduction to Probability and Mathematical Statistics

Mathematical Methods In Sample Surveys

Mathematical Methods In Sample Surveys

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