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Название: Basic Concepts Of Probability And Statistics
Авторы: Hodges J. L., Lehmann E. L.
Аннотация:
Basic Concepts of Probability and Statistics provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background. It is the only book at this level to introduce readers to modern concepts of hypothesis testing and estimation, covering basic concepts of finite, discrete models of probability and elementary statistical methods. Although published in 1970, it maintains a modern outlook, especially in its emphasis on models and model building and also by its coverage of topics such as simple random and stratified survey sampling, experimental design, and nonparametric tests and its discussion of power.The book covers a wide range of applications in manufacturing, biology, and social science, including demographics, political science, and sociology. Each section offers extensive problem sets, with selected answers provided at the back of the book. Among the topics covered that readers may not expect in an elementary text are optimal design and a statement and proof of the fundamental (NeymanPearson) lemma for hypothesis testing.
Vaccine boosters275 Value set of a random variable134 Variance157158 Variance as measure of accuracy249 Variance in lottery model159227283 Variance in the hypergeometric distribution228 Variance in the lottery model227 Variance of average267 Variance of binomial171283 Variance of estimate of difference272273 Variance of estimated treatment effect278280 Variance of hypergeometric177229285 Variance of indicator159 Variance of matching207230 Variance of measurement266282 Variance of optimum estimate292 Variance of Poisson202 Variance of sample average262 Variance of stratified estimate301306 Variance of uniform205 Variance of weighted average287 Variance of Wilcoxon paired-comparison statistic359366see"Law"Laws"Population Variance of Wilcoxon two-sample statistic342343364 Variance, addition law of162163227 Variance, estimation of281283405 Variance, population159227283 Velocity of light265 Weighing design277299 Weighing with a chemical balance268 Weighted average112287290301307 Wheat acreage260 Wilcoxon one-sample test406see Wilcoxon paired-comparison distribution358 Wilcoxon paired-comparison distribution, expectation of359 Wilcoxon paired-comparison distribution, normal approximation to359366 Wilcoxon paired-comparison distribution, recursion formula for361 Wilcoxon paired-comparison distribution, symmetry of361 Wilcoxon paired-comparison distribution, tables for358420421 Wilcoxon paired-comparison distribution, ties in365 Wilcoxon paired-comparison distribution, variance of359366 Wilcoxon paired-comparison test358 Wilcoxon two-sample distribution340346 Wilcoxon two-sample distribution, expectation of342343 Wilcoxon two-sample distribution, recursion formula for351 Wilcoxon two-sample distribution, symmetry of348 Wilcoxon two-sample distribution, table of347349366419 Wilcoxon two-sample distribution, variance of342343364 Wilcoxon two-sample test340384 Wilcoxon two-sample test, Mann — Whitney form of347 Wilcoxon two-sample test, power of384 Wilcoxon two-sample test, ties in363 Wilcoxon, F.340358 Winning at tennis79 Wordssee "Two-letter" World Series212 X-test402 X-test, extension to two quantities408 Yerushalmy, J.7