Reliability Maintainability Availability (Locks)

The page at this link (One Shot Reliability (UPF)) contains these attachments:

  • The Beta table (sample sizes up to 200).

  • Charts that are the equivalent to the Beta table, but in graphical form and that include larger sample sizes.

  • R code that can reproduce the entries in the Beta table.

Table of Contents

Introduction

Part I: Basic Probability Theory

Chapter 1 Basic Concepts of Probability

  • Preliminary

  • Attributes, Outcomes, and Events

  • Compound Events

  • Probability

  • Bayes Theorem

  • Problems

  • References

Chapter 2 Probability Distributions

  • Random Variables

  • Families of Related Distributions

  • Measures Related to Parameters of Distributions

  • Random Sample Summary Statistics

  • Standardized Random Variables

  • Problems

  • Bibliography

Part II: Families of Probability Distributions

Chapter 3 Attributes, Go-No Go, or Zero-One Processes

  • Introductory

  • Binary Trials

  • Binomial Probability

  • Negative Binomial (Pascal) Distributions

  • Beta Distributions

  • Problems

  • References

Chapter 4 Normal Distributions

  • Introductory

  • Probability Plotting

  • Goodness-of-Fit Analysis

  • Approximate Reliability-Confidence Assessment for Attributes Data

  • The Lognormal Distribution

  • Appendix:

    • Advanced Topics and Related Distributions

    • Some Properties of Normal Distributions

    • Chi-Square Distributions

    • Student-t Distributions

  • Problems

  • References

Chapter 5 The Poisson Process: Exponential Times to Failure

  • Introductory

  • Failures of a Single Component

  • Goodness-of-Fit Analysis

  • Multiple Failures and Redundancy

  • Appendix: Derivation of the Exponential Distribution: Relationships between Exponential, Gamma, Chi Square, and Poisson Distributions

  • Problems

  • References

Part III: Reliability - Confidence Assessment

Chapter 6 Statistical Assessment: The Bernoulli and Poisson Processes

  • Introductory

  • The Maximum-Likelihood Technique

  • Attributes Data

  • Exponential Distributions

  • Minimum Variance Unbiased Estimate of the Reliability

  • The Two-Parameter Exponential Distribution

  • Problems

  • References

Chapter 7 Bayesian Reliability Analysis: Attributes and Life Testing

  • Introductory

  • Structure of a Bayesian Analysis

  • Attributes Data

  • Time-to-Failure Data

  • Gamma Prior Distribution on p for the Poisson Process

  • Problems

  • References

Chapter 8 Normal-Theory Tolerance Analysis

  • Introductory

  • One-Sided Analysis

  • Two-Sided Analysis

  • References

Chapter 9 The Weibull Distribution

  • Introductory

  • Probability Analysis and Plotting

  • Linear Weighting Techniques for Weibull Estimation and Reliability-Confidence Assessment

  • Problems

  • References

  • Supplementary Bibliography

Part IV: Maintainability and Availability

Chapter 10 Maintainability and Availability

  • Introduction

  • Maintainability

  • Inherent Availability A1: The Exponential Case

  • Observed Availability A0

  • Problems

  • References

  • Bibliography

Appendix Tables

Table 1: (Beta Table) Fixed Sample Size (n) and Confidence Level (eta): Reliability (p) Assess as a Function of Number of Successes (r) or the

Number of Failures (n - r)

Table 2: Values of the Standard Normal Distribution Function

Table 3: Table of Plotting Points for n <= 15

Table 4: Chi-Square Distribution Functions

Table 5: Two-Sided Tolerance Factors for Normal Distributions

Table 6: One-Sided Tolerance Limit Factors for a Normal Distribution

Index