Applied
R&M Manual for Defence Systems
(GR-77 Issue 2012)
Part
D - Supporting Theory
Underlying the
techniques described above is a substantial level of theory. This is best presented in its own right to
avoid detail and duplication in the technique chapters.
This chapter
explains the basics of Boolean algebra.
This chapter
identifies differences in applying Bayesian statistics against applying
classical statistics and comments on the main areas of application in R&M
work.
Chapter
3 Statistical Distributions
This chapter
presents an overview of statistical distributions and summaries of the
distributions mainly used in R&M work.
Chapter
4 Monte-Carlo Simulation
Monte-Carlo
simulation is useful for determining quantified information from complex
probabilistic models. This chapter
explains the basic approach.
Pareto analysis
provides a means of presenting the comparison of data relating to different
options or categories. The application
and benefits are discussed in this chapter.
Chapter
6 Probabilistic AR&M Parameters
and Redundancy Calculations
This chapter
provides a basic introduction to the range of R&M parameters available and
the applicable arithmetic.
Chapter
7 Test Results Analysis, Parameter
Estimation, Confidence Intervals & Hypothesis Testing
This chapter
provides an introduction to the mathematical theory behind the treatment of
test results.
Chapter
8 Reliability Growth Models
This chapter supports
Part C Chapter 15 through a discussion of available models and their foundation
and application.
Chapter
9 Availability Demonstration Plans
This chapter
supports Part C Chapter 39 through a discussion of available plans and generation
of plans to specific parameters.
Chapter
10 Reliability Demonstration Plans
This chapter
supports Part C Chapter 40 through a discussion of available plans and
generation of plans to specific parameters.
Chapter
11 Maintainability Demonstration Plans
This chapter
supports Part C Chapter 41 through a discussion of available plans and
generation of plans to specific parameters.
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