Introduction to probability and statistics
著者
書誌事項
Introduction to probability and statistics
(Statistics : textbooks and monographs, v. 136)
Dekker, c1993
2nd ed., rev. and expanded
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.;A primary text for a year-long undergraduate course in statistics (but easily adapted for a one-semester course in probability only), Introduction to Probability and Statistics is for undergraduate students in a wide range of disciplines-statistics, probability, mathematics, social science, economics, engineering, agriculture, biometry, and education.
目次
- Introduction
- general concepts of probability
- random variables, probability distributions, and characteristic functions, stochastic convergence and limit theorems
- concepts of statistics
- univariate distributions
- multivariate distributions
- order statistics and related distributions
- statistical inference - parametric point estimation
- testing of statistical hypotheses
- large-sample methods
- statistical decision theory
- sequential analysis
- nonparametric methods
- general linear hypothesis and analysis of variance
- some applications of analysis of variance
- appendix A - vectors and matrices
- appendix B - statistical tables.
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