Downloaded from https://www.everyspec.com TABLE OF CONTENTS 3.43 Rule, Laws, and Ddinitions for Probability Denitis ................... 3-2 3-2.4 Transfornation of Variables ................. 3-3 3.2.5 Convolution ......................... 3-3 3-3 -Independence and Conditional #-ndependence ..... 3-3 3-4 Distributions ......................... 3-3 3-4.1 Moments .......................... 3-3 34.2 Distributions and Theirpert .............. 3.5 CHAPTER 4. REVIEW OF ELEMENTARY STATISTICAL THEORY 4-1 Introduction .......................... 4-1 4-2 Estimation of Parameters .................... 4-1 4-2.1 s-Efficient Estimator .....................
4-1 4-2.2 s-Consmtent Estimators ................... 4-1 4-2.3 #-Bias ............................. 4-1 4-2.4 Uncertainty . ........................ 4-2 4-3 Tests of s-Significance ...................... 4-2 4-4 ,-Confidence Statements ..................... 4-2 4.5 Goodness-of-Fit Test . .................... 4-3 4-6 Samples and Populations ...................... 4-3 4-7 IFR and DFR Distributions .................... 4-3 CHAPTER 5. SOME ADVANCED MATHEMATICAL TECHNIQUES 5-0 List of Symbols .. ..... ............. 5-1 5-1 Introduction . ............................ 5-1 5-2 Markov FIoceus ...... ................ 5-1 5-2.1 System State .............................. 5.1 5-2.2 Markov Chains ..
......... ............. 5.1 5-3 Laplace Tra 1 sorms ...................... 5-1 5-4 Regeneration Points ... ......... ......... 5-2 CHAPTER 6. CREATING THE SYSTEM R" ',,BILrl Y MODEL 6.0 List of Symbols ....................... 1 6-1 Introduction .................... 6-1 6-2 Engineering Analysis .... .. . .... .... 6-1 6-2.1 Introduction ............. .. . . * *....... . ' 6-2.2 Functional Block Diagram.......... . 6-2.2.1 Discrete Systems ......................... U 6-2.2.2 Dispersed Systems . ............. . . 6, 6-2.3 Dependency Diagrams ................ 6-e 6-2.3,1 Definition of Terms -........................ 64 6-2.3.2 Standard Formatting Rules ...................
6-4 6,2.3.3 Examples ............................ 6.12 6-3 Development of Reliability Models .. ....... .... 6-20 6-3.1 Introduction ......................... 6-20 6.3.2 Definitions ................................ 6-20