Introduction to probability and statistics

書誌事項

Introduction to probability and statistics

Narayan C. Giri

(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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