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Probability and statistical inference

Author: Robert V Hogg
Publisher: Upper Saddle River, N.J. : Pearson Education International ; London : Pearson Education, 2006.
Edition/Format:   Print book : English : 7th edView all editions and formats

Presenting an introduction to the mathematics of probability and statistics, this work emphasizes the existence of variation in various processes, and how the study of probability and statistics  Read more...


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Document Type: Book
All Authors / Contributors: Robert V Hogg
ISBN: 0131293826 9780131293823
OCLC Number: 70763387
Notes: Includes index.
Description: xv, 735 pages : illustrations ; 24 cm + 1 CD-ROM
Contents: Table of Contents Chapter 1: Probability Basic Concepts Properties of Probability Methods of Enumeration Conditional Probability Independent Events Bayes' Theorem Chapter 2: Discrete Distributions Random Variables of the Discrete Type Mathematical Expectation Bernoulli Trials and the Binomial Distribution The Moment-Generating Function The Poisson Distribution Chapter 3: Continuous Distributions Continuous-Type Data and EDA Random Variables of the Continuous Type The Uniform and Exponential Distributions The Gamma and Chi-Square Distributions Distributions of Functions of a Random Variable Additional Models Chapter 4: Multivariate Distributions Distributions of Two Random Variables The Correlation Coefficient Conditional Distributions Transformations of Random Variables Independent Random Variables Distributions of Sums of Independent Random Variables Chebyshev's Inequality and Convergence in Probability Chapter 5: The Normal Distribution A Brief History of Probability The Normal Distribution Random Functions Associated with Normal Distributions The Central Limit Theorem Approximations for Discrete Distributions The Bivariate Normal Distribution Limiting Moment-Generating Functions Importance of Understanding Variability Chapter 6: Estimation Sample Characteristics Point Estimation Sufficient Statistics Confidence Intervals for Means Confidence Intervals for Difference of Two Means Confidence Intervals for Variances Confidence Intervals for Proportions Sample Size Order Statistics Distribution-Free Confidence Intervals for Percentiles A Simple Regression Problem More Regression Resampling Methods Asymptotic Distributions of Maximum Likelihood Estimators Chapter 7: Bayesian Methods Subjective Probability Bayesian Estimation More Bayesian Concepts Chapter 8: Tests of Statistical Hypotheses Tests About Proportions Tests About One Mean and One Variance Tests of the Equality of Two Normal Distributions The Wilcoxon Tests Chi-Square Goodness of Fit Tests Contingency Tables One-Factor Analysis of Variance Two-Factor Analysis of Variance Tests Concerning Regression and Correlation Kolmogorov-Smirnov Goodness of Fit Test Run Test and Test for Randomness Chapter 9: Theory of Statistical Inference Power of a Statistical Test Best Critical Regions Likelihood Ratio Tests Chapter 10: Quality Improvement Through Statistical Methods Time Sequences Statistical Quality Control General Factorial and 2 k Factorial Designs More on Design of Experiments Epilogue A Review of Selected Mathematical Techniques Algebra of Sets Mathematical Tools for the Hypergeometric Distribution Limits Infinite Series Integration Multivariate Calculus
Responsibility: Robert V. Hogg, Elliot A. Tanis.


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"Generally, I think the pedagogy is excellent, providing an almost holistic introduction to statistics, both its mathematical and applications sides. Elements of the subject are introduced in Read more...

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