Fundamentals of Probability and Statistics for Engineers

Contentsix6.1.2 Geometric Distribution 1676.1.3 Negative Binomial Distribution 1696.2 Multinomial Distribution 1726.3 Poisson Distribution 1736.3.1 Spatial Distributions 1816.3.2 The Poisson Approximation to the Binomial Distribution 1826.4 Summary 183Further Reading 184Problems 1857 SOME IMPORTANT CONTINUOUS DISTRIBUTIONS 1917.1 Uniform Distribution 1917.1.1 Bivariate Uniform Distribution 1937.2 Gaussian or Normal Distribution 1967.2.1 The Central Limit Theorem 1997.2.2 Probability Tabulations 2017.2.3 Multivariate Normal Distribution 2057.2.4 Sums of Normal Random Variables 2077.3 Lognormal Distribution 2097.3.1 Probability Tabulations 2117.4 Gamma and Related Distributions 2127.4.1 Exponential Distribution 2157.4.2 Chi-Squared Distribution 2197.5 Beta and Related Distributions 2217.5.1 Probability Tabulations 2237.5.2 Generalized Beta Distribution 2257.6 Extreme-Value Distributions 2267.6.1 Type-I Asymptotic Distributions of Extreme Values 2287.6.2 Type-II Asymptotic Distributions of Extreme Values 2337.6.3 Type-III Asymptotic Distributions of Extreme Values 2347.7 Summary 238References 238Further Reading and Comments 238Problems 239PART B: STATISTICAL INFERENCE, PARAMETERESTIMATION, AND MODEL VERIFICATION 2458 OBSERVED DATA AND GRAPHICAL REPRESENTATION 2478.1 Histogram and Frequency Diagrams 248References 252Problems 253TLFeBOOK