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Probability and Statistical Inference

ISBN-10: 0131464132
ISBN-13: 9780131464131
Edition: 7th 2005 (Revised)
List price: $145.33
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Description: This applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variability. Designed for students  More...

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Book details

List price: $145.33
Edition: 7th
Copyright year: 2005
Publisher: Prentice Hall PTR
Binding: Mixed Media
Pages: 752
Size: 7.75" wide x 9.25" long x 1.25" tall
Weight: 3.080
Language: English

This applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variability. Designed for students with a background in calculus, it reinforces basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.

Empirical and Probability Distributions
Basic Concepts
The Mean, Variance, and Standard Deviation
Continuous-Type Data
Exploratory Data Analysis
Graphical Comparisons of Data Sets
Time Sequences
Probability Density and Mass Functions
Probability
Properties of Probability
Methods of Enumeration
Conditional Probability
Independent Events
Bayes' Theorem
Discrete Distributions
Random Variables of the Discrete Type
Mathematical Expectation
Bernoulli Trials and the Binomial Distribution
The Moment-Generating Function
The Poisson Distribution
Continuous Distributions
Random Variables of the Continuous Type
The Uniform and Exponential Distributions
The Gamma and Chi-Square Distributions
The Normal Distribution
Distributions of Functions of a Random Variable
Mixed Distributions and Censoring
Multivariable Distributions
Distributions of Two Random Variables
The Correlation Coefficient
Conditional Distributions
The Bivariate Normal Distribution
Transformations of Random Variables
Order Statistics
Sampling Distribution Theory
Independent Random Variables
Distributions of Sums of Independent Random Variables
Random Functions Associated with Normal Distributions
The Central Limit Theorem
Approximations for Discrete Distributions
The t and F Distributions
Limiting Moment-Generating Functions
Chebyshev's Inequality and Convergence in Probability
Importance of Understanding Variability
Estimation
Point Estimation
Confidence Intervals for Means
Confidence Intervals for Difference of Two Means
Confidence Intervals for Variances
Confidence Intervals for Proportions
Sample Size
Distribution-Free Confidence Intervals for Percentiles
A Simple Regression Problem
More Regression
Tests of Statistical Hypotheses
Tests about Proportions
Tests about One Mean and One Variance
Tests of the Equality of Two Normal Distributions
Chi-Square Goodness of Fit Test
Contingency Tables
Tests of the Equality of Several Means
Two-Factor Analysis of Variance
Tests Concerning Regression and Correlation
The Wilcoxon Tests
Kolmogorov-Smirnov Goodness of Fit Test
Resampling Methods
Run Test and Test for Randomness
Theory of Statistical Inference
Sufficient Statistics
Power of a Statistical Test
Best Critical Regions
Likelihood Ratio Tests
Bayesian Estimation
Asymptotic Distributions of Maximum Likelihood Estimators
Quality Improvement through Statistical Methods
Statistical Quality Control
General Factorial and 2k Factorial Designs
More on Design of Experiments
Epilogue
Review of Selected Mathematical Techniques
Algebra of Sets
Mathematical Tools for the Hypergeometric Distribution
Limits
Infinite Series
Integration
Multivariate Calculus
References
Tables
Answers to Odd-Numbered Exercises
Index

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