Counterexamples in probability and statistics
著者
書誌事項
Counterexamples in probability and statistics
（The Wadsworth & Brooks/Cole statistics/probability series）
Wadsworth & Brooks/Cole Advanced Books & Software, c1986
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注記
Bibliography: p. 278-286
Includes index
内容説明・目次
内容説明
Romano and Siegel have provided a collection of counter-examples from which students, teachers and researchers may benefit, as well as several approaches to the process of deciding a conjecture. Each chapter begins with an introduction, including pertinent definitions and results for that subject area. The chapters are ordered according to difficulty, from basic material to refinements and more specialized areas. This book should be of interest to undergraduate and graduate students on courses in statistics; professional statisticians.
目次
Probability spaces. Random variables, densities and distribution functions. Moments of random variables. Properties of real random variables. Sequences of random variables. Conditional expectation, Martingales, and almost sure convergence of sums of independent random variables. Properties of statistical experiments. Construction of estimators. Optimality of estimators. Confidence intervals and hypothesis testing. Appendix: Additional counter-examples.
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