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CITATION

Spiegel, Murray R; Schiller, John J.; and Srinivasan, A. V.. Schaum's Easy Outline of Probability and Statistics. McGraw-Hill, 2002.

Schaum's Easy Outline of Probability and Statistics

Authors: Murray R Spiegel, John J. Schiller and A. V. Srinivasan

Published:  February 2002

eISBN: 9780071398381 0071398384 | ISBN: 9780071383417
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  • Copyright
  • Contents
  • Chapter 1 BASIC PROBABILITY
  • Random Experiments
  • Sample Spaces
  • Events
  • The Concept of Probability
  • The Axioms of Probability
  • Some Important Theorems on Probability
  • Assignment of Probabilities
  • Conditional Probability
  • Theorem on Conditional Probability
  • Independent Events
  • Bayes’ Theorem or Rule
  • Combinatorial Analysis
  • Fundamental Principle of Counting
  • Permutations
  • Combinations
  • Binomial Coef.cients
  • Stirling’s Approximation to n!
  • Chapter 2 DESCRIPTIVE STATISTICS
  • Descriptive Statistics
  • Measures of Central Tendency
  • Mean
  • Median
  • Mode
  • Measures of Dispersion
  • Variance and Standard Deviation
  • Percentiles
  • Interquartile Range
  • Skewness
  • Chapter 3 DISCRETE RANDOM VARIABLES
  • Random Variables
  • Discrete Probability Distribution
  • Distribution Functions for Random Variables
  • Distribution Functions for Discrete Random Variables
  • Expected Values
  • Variance and Standard Deviation
  • Some Theorems on Expectation
  • Some Theorems on Variance
  • Chapter 4 CONTINUOUS RANDOM VARIABLES
  • Continuous Random Variables
  • Continuous Probability Distribution
  • Distribution Functions for Continuous Random Variables
  • Expected Values
  • Variance
  • Properties of Expected Values and Variances
  • Graphical Interpretations
  • Chapter 5 EXAMPLES OF RANDOM VARIABLES
  • Binomial Distribution
  • Properties of Binomial Distributions
  • The Normal Distribution
  • Examples of the Normal Distribution
  • Poisson Distributions
  • Relationships between Binomial and Normal Distributions
  • Relationships between Binomial and Poisson Distributions
  • Relationships between Poisson and Normal Distributions
  • Central Limit Theorem
  • Law of Large Numbers
  • Chapter 6 SAMPLING THEORY
  • Population and Sample
  • Sampling
  • Random Samples, Random Numbers
  • Population Parameters
  • Sample Statistics
  • Sampling Distributions
  • The Sample Mean
  • Sampling Distribution of Means
  • Sampling Distribution of Proportions
  • Sampling Distribution of Differences and Sums
  • The Sample Variance
  • Frequency Distributions
  • Relative Frequency Distributions
  • Chapter 7 ESTIMATION THEORY
  • Unbiased Estimates and Ef.cient Estimates
  • Point Estimates and Interval Estimates
  • Con.dence Interval Estimates of Population Parameters
  • Con.dence Intervals for Means
  • Con.dence Intervals for Proportions
  • Con.dence Intervals for Differences and Sums
  • Chapter 8 TEST OF HYPOTHESIS AND SIGNIFICANCE
  • Statistical Decisions
  • Statistical Hypothesis
  • Tests of Hypothesis and Signi.cance
  • Type I and Type II Errors
  • Level of Signi.cance
  • Test Involving the Normal Distribution
  • One-Tailed and Two-Tailed Tests
  • P Value
  • Special Tests
  • Relationship between Estimation Theory and Hypothesis Testing
  • Chapter 9 CURVE FITTING, REGRESSION, AND CORRELATION
  • Curve Fitting
  • Regression
  • The Method of Least Squares
  • The Least-Squares Line
  • The Least-Squares Regression Line in Terms of Sample Variances and Covariance
  • Standard Error of Estimate
  • The Linear Correlation Coef.cient
  • Generalized Correlation Coef.cient
  • Correlation and Dependence
  • Chapter 10 OTHER PROBABILITY DISTRIBUTIONS
  • The Multinomial Distribution
  • The Hypergeometric Distribution
  • The Uniform Distribution
  • The Cauchy Distribution
  • The Gamma Distribution
  • The Beta Distribution
  • The Chi-Square Distribution
  • Student’s t Distribution
  • The F Distribution
  • Relationships Among Chi-Square, t, and F Distributions
  • Appendix A
  • Special Sums
  • Eulers’ Formulas
  • The Gamma Function
  • The Beta Function
  • Special Integrals
  • Appendix B
  • Appendix C
  • Appendix D
  • Appendix E
  • Appendix F
  • Appendix G
  • Index