Probability,Statistics,and Reliability for Engineers and Scientists Book

Ch. 1	Introduction	1
	Types of Uncertainty	5
	Introduction to Simulation	9
Ch. 2	Data Description and Treatment	25
	Classification of Data	26
	Graphical Description of Data	28
	Histograms and Frequency Diagrams	36
	Descriptive Measures	39
	Applications	46
	Analysis of Simulated Data	49
Ch. 3	Fundamentals of Probability	63
	Sample Spaces, Sets, and Events	64
	Mathematics of Probability	69
	Random Variables and their Probability Distributions	83
	Moments	91
	Application: Water Supply and Quality	101
	Simulation and Probability Distribution	102
Ch. 4	Probability Distributions for Discrete Random Variables	111
	Bernoulli Distribution	112
	Binomial Distribution	113
	Geometric Distribution	115
	Poisson Distribution	116
	Negative Binomial and Pascal Probability Distributions	118
	Hypergeometric Probability Distribution	118
	Applications	119
	Simulation of Discrete Random Variables	121
Ch. 5	Probability Distributions for Continuous Random Variables	131
	Uniform Distribution	132
	Normal Distribution	134
	Lognormal Distribution	138
	Exponential Distribution	141
	Triangular Distribution	143
	Gamma Distribution	144
	Rayleigh Distribution	145
	Statistical Probability Distributions	146
	Extreme Value Distributions	149
	Applications	155
	Simulation and Probability Distributions	157
Ch. 6	Multiple Random Variables	165
	Joint Random Variables and their Probability Distributions	166
	Functions of Random Variables	182
	Applications	192
	Multivariable Simulation	199
Ch. 7	Simulation	215
	Monte Carlo Simulation	221
	Random Numbers	222
	Generation of Random Variables	225
	Generation of Selected Discrete Random Variables	232
	Generation of Selected Continuous Random Variables	238
	Applications	242
Ch. 8	Fundamentals of Statistical Analysis	259
	Estimation of Parameters	261
	Sampling Distributions	276
	Applications	280
Ch. 9	Hypothesis Testing	289
	General Procedure	290
	Hypothesis Tests of Means	295
	Hypothesis Tests of Variances	302
	Tests of Distributions	308
	Applications	319
	Simulation of Hypothesis Test Assumptions	326
Ch. 10	Analysis of Variance	335
	Test of Population Means	336
	Multiple Comparisons in the ANOVA Test	345
	Test of Population Variances	349
	Randomized Block Design	351
	Two-Way Analysis of Variance	357
	Applications	370
Ch. 11	Confidence Intervals and Sample Size Determination	379
	General Procedure	380
	Confidence Intervals on Sample Statistics	381
	Sample-Size Determination	384
	Applications	387
Ch. 12	Regression Analysis	393
	Correlation Analysis	394
	Introduction to Regression	404
	Principle of Least Squares	409
	Reliability of the Regression Equation	412
	Reliability of Point Estimates of the Regression Coefficients	420
	Confidence Intervals of the Regression Equation	423
	Correlation vs. Regression	428
	Applications of Bivariate Regression Analysis	429
	Simulation and Prediction Models	437
Ch. 13	Multiple and Nonlinear Regression Analysis	447
	Correlation Analysis	448
	Multiple Regression Analysis	450
	Polynomial Regression Analysis	459
	Regression Analysis of Power Models	464
	Applications	466
	Simulation in Curvilinear Modeling	478
Ch. 14	Reliability Analysis of Components	485
	Time to Failure	486
	Reliability of Components	489
	First-Order Reliability Method	491
	Advanced Second-Moment Method	496
	Simulation Methods	509
	Reliability-Based Design	519
	Application: Structural Reliability of a Pressure Vessel	525
Ch. 15	Reliability and Risk Analysis of Systems	535
	Reliability of Systems	537
	Risk Analysis	551
	Risk-Based Decision Analysis	557
	Application: System Reliability of a Post-Tensioned Truss	562
Ch. 16	Bayesian Methods	569
	Bayesian Probabilities	570
	Bayesian Estimation of Parameters	575
	Bayesian Statistics	584
App. A	Probability and Statistics Tables	595
App. B	Taylor Series Expansion	613
App. C	Data for Simulation Projects	621
	Index	625