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