ARA Module 2 – Probability & Reliability Statistics
of the Applied Reliability Analysis Course
Using Reliasoft Weibull++
In preparation for the reliability methods and tools to follow, this module covers many of the fundamental building blocks. Since Reliability is a probability, we review some essential probability ideas and rules. We introduce the concept of conditional probability since it plays a role in various methods such as warranty forecasting and burn-in. We discuss probability models that may be considered in describing time-to-failure data with some emphasis on the Weibull distribution. The Weibull distribution is very popular due to its flexibility and meaningful parameters although we should not limit ourselves solely to this model. Finally, we discuss some useful discrete distribution models and their applications to reliability.
A little background, motivation, full course overview, and a welcome from the instructor, Steven Wachs
Use the course menu to navigate to the first lesson
Training Objectives
The key training full course objectives are summarized below (highlighted objectives relate to this module)
- Understand reliability concepts and unique aspects of reliability data
- Understand underlying probability and statistical concepts for reliability analysis
- Develop competency in the modeling and analysis of time-to-failure data
- Use and interpret probability plots for distribution fitting
- Understand reliability metrics and how to estimate and report them
- Handle multiple failure modes in reliability estimation
- Utilize degradation Data and models to predict failure times for life data analysis
- Use nonparametric estimation methods when appropriate
- Determine if reliability specifications are met (at specified confidence level) or whether design improvements are required
- Estimate estimate uncertainty using confidence intervals and bounds
- Estimate reliability of subsystems and systems
- Handle basic series and parallel systems
- Become aware of system reliability activities such as Reliability Block diagramming, Reliability importance, and Reliability allocation
- Develop competency in the planning of reliability tests (sample sizes)
- Use simulation to support estimation test planning
- Develop reliability demonstration test plans (testing time vs. number of units tradeoffs)
- Analyze existing warranty data to predict future returns
- Analyze data from Accelerated Life Tests to estimate reliability at normal use conditions (single stress, multiple stress, time-varying stress models)
- Plan Accelerated Life tests (sample sizes, determination of test stress combinations, allocation of units to stress levels)
- Incorporate degradation data modeling into Accelerated Life Test analysis
- Perform stress-strength analysis using analytical methods, software, and simulation
- Model reliability from binary response data (i.e. pass/fail)
- Analyze repair data from repairable systems to predict the number of failures over time, conditional reliability, and failure rates
- Develop proficiency in the use of Reliasoft Weibull++ for Reliability analyses
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