Downloaded from https://www.everyspec.com AMC PAMPHLET 31a | •ENGINEERING-DIESIGN HANDBOOK. 1 _ ,EVELOPMENT JUIDE SFOR AELIABILITY. PART FOUR. - RELIABILITY ra TC- MEASUREMENT 6 ~ ~ ~ ~ ~ ~ ~ ~ ~ a~b4o ... .r•-"................. (II) PflIUBIFIBION STARMENT A )pproved fox Public 14180,01 Unst -
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Everyspec AMC PAMPHLET 31a: US Army Reliability Development Guide for Military Equipment (PDF)
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Downloaded from https://www.everyspec.com AMCP 706.198 DEPARTMENT OF THE ARMY HEADQUARTERS UNITED STATES ARMY MATERIEL COMMAND 5001 Eisenhower Ave., Alexandria, VA 22333 AMC PAMPHLET 7 y 1976 NO. 706-198 DEVELOPMENT GUIDE FOR RELIABILITY PART FOUR RELIABILITY MEASUREMENT TABLE OF CONTENTS Paragraph Page LIST OF ILLUSTRATIONS ........... vii LIST OF TABLES .................... ix PREFACE .......................... xii CHAPTER 1. INTRODUCTION I - 1 General ............................ 1-I 1-2 Reliability Test Program ............... 1-2 1.3 Integrated Data System ................ 1-3 References .........................
1-3 CHAPTER 2, STATISTICAL EVALUATION OF RELIABILITY TESTS, DESIGN AND DEVELOPMENT List of Symbols ...................... 2-1 2-1 Introduction ....................... 2-3 2-2 Graphical Estimation of Parameters of a Distribution ....................... 2--5 2-2.1 Plotting Positions (Cumulative Distribution Function) ........................ 2-5 2-2. 1.1 Practical Plotting (K-S Bounds) ......... 2-6 2-2.1.2 Plotting (Beta Bounds) ............... 2-7 2-2.2 Plotting Positions (Cumulative Hazard) ... 2-7 2-2.3 s-Normal Distribution ................ 2-11 2-2.4 Weibull Distribution .................. 2-18 2-2.5 Lognormal Distribution ............... 2-27 2-2.6 Summary ..........................
2-36 2-3 Analytic Estimation of Parameters of a Distribution ........................ 2-49 2-3.1 Binomial .......................... 2-49 2--3.2 Poisson ........................... 2-50 . j ,'.,
Downloaded from https://www.everyspec.com I. AMCP 70-SN TABLE OF CONTENTS MCon't) Paragraph Page 2--3.3 Exponential ....................... 2-55 2-3.4 s-Normal ....................... 2- 56 2-434.1 All Items Tested to Failure ............ 2-60 2-1.4.2 Censored Samples .................. 2-60 2. 3.4.3 s-Confidence Limits for s-Reliability .... 2-63 2 .- 3.5 W eib U ll .. .. .. ... .. .. . ... ... ... . .. . . 2- .6 3 , 2-3.6 Lognormal ................... .. 2-63 2-4 Goodness-of-fit Tests .................. 2-64 2-4 ,1 Chi-square Test ..................... 2..-64 2-4.2 The Kolmogorov-Smirnov kK-S) Test . 2-65 2-5 Kolmogorov-Smirnov s-Confidence Limits.
2-71 2-6 Nonparametric Estimation .......... 2--77 2-6, I Moments .......................... 2--77 2-6.2 Quantiles ......................... 2-77 2-7 Analysis of Variance ................... 2-78 2--7. I Statistical Explanations ............... 2--78 2-7.2 Case 1: 1 Factor, With Replication, ,Table 2-15 ........................ 2.-81 2-7.3 Case 11: 2 Factors, Without Replication, Table 2-18 ........................ 2. 85 2.-7.4 Caw 111: 2 Factors, With Replication, Table 2-19 ........................ 2--85 2--7,5 Case IV: 3 Factors, Without Ruplication, Table 2-20 ........................ 2-85 2-8 Regression and Correlation Analysis ......
2-94 2-9 Accept/Reject Test-I Test For Mean of a s-Normal Distribution ................ 2-96 2-10 Accept/Reject Tests-- Binomial Parameter . 2_-100 2-11 Accept/Reject Tests--Nonparametric ..... 2-109 .sruseo - . . 2-I 11.1 Rank-Sum ........................ 2-109 2- 11.2 Runs ............................. 2- 109 IN 2-11,3 Maximum-Deviation .................. 2-109 "A N44C• [1 2-12 System Reliability Estimation from Sub- system Data ........................ 2--109 2-12.1 Advantages of Model ................. 2-114 2-12.2 Component Model ................... 2-115 2-12.3 System Model ...................... 2-116 ,'Sit Jil ,'AAJ,: References ..................... ....
2-119 A "CHAPTER 3, STATISTICAL EVALUATION OF RELIABILITY TESTS, DEMONSTRATIONS, AND ACCEPTANCE List of Symbols ................ ..... 3 -1 3--1 Introduction ........................ 3-2 .. .. .1-~ . .. ....... ........... .. .. ..... . . . . ........ ... ,I I I I I I-.,I.I
Downloaded from https://www.everyspec.com AMCP 705-lW TABLE OF CONTENTS (Con't.) ParagraphFa 3--2 Concepts .. . . . . . . . . . . .. 3-3 3-2.1 Terminology ............. ... 3-3 3-2.2 Consumer and Producer Risks ...... 3-S 3-2.3 s-Confidence Levels .......... 3--S 3--2.4 Operatinp Characteristic Curve ..... 3- 6 3-3 Preliminaries to Testing ......... 3-6 3-3.1 Using Existing Information .,........... 3-6 3-3.2 Selection of Test Parameters ...... 3-7 3-3.3 Test Procedures .............. 3-8 3-4 Experimental Design .......... 3-8 3-4.1 The Population . .......... 3-8 3-4.2 Elimination of Bias .................. 3-9 3-4.2.1 Experimental Controls ...............
3-9 3.-4.2.2 Randomization ........... 3-9 3-4.3 Experimental Uncertainty .............. 3-9 3-4.4 Sample Selection ........... 3-10 3--5 Typos ot Tests....................... 3-10 3-5.1 SIngle- or Multiple-Sample Plans .......... 3--I 3-.5,2 Truncation ................... ,.. 3-15 3-5.3 Special Tests....................... 3-17 3--5.4 Assuming a Failure Law ............... 3--17 3-*5.5 Replacement....................... 3-17 3-5.6 Accelerated Life Tests ................ 3-18 3-6 Binomial Parameter ................... 3--I8 3-6.1 1I-Samnple ......................... 3-19 3-6.2 Sequential Sampling ................. 3-24 3--6.3 Exponential Assumption ...............
3-25 3-7 Exponential Parameter, Life Tests ......... 3-25 3-7.1 I-Sample *................. .... 3-28 3-7.2 Seq-Sample........................ 3-33 3-8 s-Normal Parameter, Mean .............. 3-35 3-9 Bayesian Statistics *..........., 3-38 3-9.1 Probability and Bayes Probability ......... 3-38 3-9.2 Simple Illustration ................... 3-39 3-.9.3 Bayes Formulas, Discrete Random Variables......................... 3-39 3--9.4 Principles for Application ,............. 3-39 3-9.5 Complex Illustration ................. 3-42 3-9.6 Bayes Formulas, Continuous Random Variables. ... ..................... , 3-44 3-9.7 Conjugate Prior Distributions .,...... 3-44 3-9.8 Life-Testing ........ ,.
....... ...... 3-44 References ......................... 3-47