Tutorial: Parametric Reliability Models

Abstract

This tutorial demonstrates how to plot reliability functions parametrically in R using the output from any reliability modeling software. It provides code and sample plots of reliability and failure rate functions with confidence intervals for three different skewed probability distributions: the exponential, the two-parameter Weibull, and the lognormal. These three distributions are the most common parametric models for reliability or survival analysis. This paper also provides mathematical background for the models and recommendations for when to use them.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2018
Accession Number
AD1122480

Entities

People

  • William R. Whitledge
  • Yevgeniya K. Pinelis

Organizations

  • Institute for Defense Analyses

Tags

DTIC Thesaurus Topics

  • Confidence Limits
  • Covariance
  • Data Analysis
  • Data Science
  • Data Sets
  • Distribution Functions
  • Estimators
  • High Resolution
  • Information Science
  • Maximum Likelihood Estimation
  • Normal Distribution
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Reliability
  • Statistical Algorithms
  • Statistical Inference
  • Test And Evaluation
  • United States

Readers

  • Business Analytics
  • Computational Modeling and Simulation
  • Statistical inference.