CRC standard probability and statistics tables and formulae /
Standard probability and statistics tables and formulae
Daniel Zwillinger, Stephen Kokoska.
- 554 pages : illustrations ; 25 cm
Includes bibliographical references and index.
Introduction -- Background -- Data sets -- References -- Summarizing Data -- Tabular and graphical procedures -- Numerical summary measures -- Probability -- Algebra of sets -- Combinatorial methods -- Probability -- Random variables -- Mathematical expectation -- Multivariate distributions -- Inequalities -- Functions of Random Variables -- Finding the probability distribution -- Sums of random variables -- Sampling distributions -- Finite population -- Theorems -- Order statistics -- Range and studentized range -- Discrete Probability Distributions -- Bernoulli distribution -- Beta binomial distribution -- Beta Pascal distribution -- Binomial distribution -- Geometric distribution -- Hypergeometric distribution -- Multinomial distribution -- Negative binomial distribution -- Poisson distribution -- Rectangular (discrete uniform) distribution -- Continuous Probability Distributions -- Arcsin distribution -- Beta distribution -- Cauchy distribution -- Chi-square distribution -- Erlang distribution -- Exponential distribution -- Extreme-value distribution -- F distribution -- Gamma distribution -- Half-normal distribution -- Inverse Gaussian (Wald) distribution -- Laplace distribution -- Logistic distribution -- Lognormal distribution -- Noncentral chi-square distribution -- Noncentral F distribution -- Noncentral t distribution -- Normal distribution -- Normal distribution: multivariate -- Pareto distribution -- Power function distribution -- Rayleigh distribution -- t distribution -- Triangular distribution -- Uniform distribution -- Weibull distribution -- Relationships among distributions -- Standard Normal Distribution -- Density function and related functions -- Critical values -- Tolerance factors for normal distributions -- Operating characteristic curves -- Multivariate normal distribution -- Distribution of the correlation coefficient -- Circular normal probabilities -- Circular error probabilities -- Estimation -- Definitions -- Cramer-Rao inequality -- Theorems -- The method of moments -- The likelihood function -- The method of maximum likelihood -- Invariance property of MLEs -- Different estimators -- Estimators for small samples -- Estimators for large samples -- Confidence Intervals -- Definitions -- Common critical values -- Sample size calculations -- Summary of common confidence intervals -- Confidence intervals: one sample -- Confidence intervals: two samples -- Finite population correction factor -- Hypothesis Testing -- Introduction -- The Neyman-Pearson lemma -- Likelihood ratio tests -- Goodness of fit test -- Contingency tables -- Bartlett's test -- Cochran's test -- Number of observations required -- Critical values for testing outliers -- Significance test in 2 [times] 2 contingency tables -- Determining values in Bernoulli trials -- Regression Analysis -- Simple linear regression -- Multiple linear regression -- Orthogonal polynomials -- Analysis of Variance -- One-way anova -- Two-way anova -- Three-factor experiments -- Manova -- Factor analysis -- Latin square design -- Experimental Design -- Latin squares -- Graeco-Latin squares -- Block designs -- Factorial experimentation: 2 factors -- 2[superscript r] Factorial experiments -- Confounding in 2[superscript n] factorial experiments -- Tables for design of experiments -- References -- Nonparametric Statistics -- Friedman test for randomized block design -- Kendall's rank correlation coefficient -- Kolmogorov-Smirnoff tests -- Kruskal-Wallis test -- The runs test -- The sign test -- Spearman's rank correlation coefficient -- Wilcoxon matched-pairs signed-ranks test -- Wilcoxon rank-sum (Mann-Whitney) test -- Wilcoxon signed-rank test -- Quality Control and Risk Analysis -- Quality assurance -- Acceptance sampling -- Reliability -- Risk analysis and decision rules -- General Linear Models -- Notation -- The general linear model -- Summary of rules for matrix operations -- Quadratic forms -- General linear hypothesis of full rank -- General linear model of less than full rank -- Miscellaneous Topics -- Geometric probability -- Information and communication theory -- Kalman filtering -- Large deviations (theory of rare events) -- Markov chains -- Martingales -- Measure theoretical probability -- Monte Carlo integration techniques -- Queuing theory -- Random matrix eigenvalues -- Random number generation -- Resampling methods -- Self-similar processes -- Signal processing -- Stochastic calculus -- Classic and interesting problems -- Electronic resources -- Tables -- Special Functions -- Bessel functions -- Beta function -- Ceiling and floor functions -- Delta function -- Error functions -- Exponential function -- Factorials and Pochhammer's symbol -- Gamma function -- Hypergeometric functions -- Logarithmic functions -- Partitions -- Signum function -- Stirling numbers -- Sums of powers of integers -- Tables of orthogonal polynomials -- References -- Notation -- Index. 1. 1.1. 1.2. 1.3. 2. 2.1. 2.2. 3. 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 4. 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. 5. 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. 5.7. 5.8. 5.9. 5.10. 6. 6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 6.8. 6.9. 6.10. 6.11. 6.12. 6.13. 6.14. 6.15. 6.16. 6.17. 6.18. 6.19. 6.20. 6.21. 6.22. 6.23. 6.24. 6.25. 6.26. 6.27. 7. 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. 7.7. 7.8. 8. 8.1. 8.2. 8.3. 8.4. 8.5. 8.6. 8.7. 8.8. 8.9. 8.10. 9. 9.1. 9.2. 9.3. 9.4. 9.5. 9.6. 9.7. 10. 10.1. 10.2. 10.3. 10.4. 10.5. 10.6. 10.7. 10.8. 10.9. 10.10. 10.11. 11. 11.1. 11.2. 11.3. 12. 12.1. 12.2. 12.3. 12.4. 12.5. 12.6. 13. 13.1. 13.2. 13.3. 13.4. 13.5. 13.6. 13.7. 13.8. 14. 14.1. 14.2. 14.3. 14.4. 14.5. 14.6. 14.7. 14.8. 14.9. 14.10. 15. 15.1. 15.2. 15.3. 15.4. 16. 16.1. 16.2. 16.3. 16.4. 16.5. 16.6. 17. 17.1. 17.2. 17.3. 17.4. 17.5. 17.6. 17.7. 17.8. 17.9. 17.10. 17.11. 17.12. 17.13. 17.14. 17.15. 17.16. 17.17. 17.18. 18. 18.1. 18.2. 18.3. 18.4. 18.5. 18.6. 18.7. 18.8. 18.9. 18.10. 18.11. 18.12. 18.13. 18.14. 18.15. 18.16.
"Many non-statisticians have a use for basic statistics daily, but need to be able to reference tables and use data without getting bogged down by advanced statistical methods. Standard Probability and Statistics: Tables and Formulae presents a modern set of tables for this purpose. Reaching beyond a mere catalog of tables, each table has a textual description and at least one example. The difficulty level is on par with first or second year statistics and is directly applicable to business and engineering."--Publisher description.