The Discrete Probability Distribution for Failures in a Defined Time Interval When the Time-to-Failure Is Weibully Distributed Throughout

Abstract

Described herein is the development of a probability distribution function for the discrete random variable, number of failures, observed in a time interval consisting of T hours when the operating system's time-to-failure is distributed as a two parameter Weibull distribution. Particular application of the distribution is envisioned in repair/spare parts quantity forecasting. Additionally, discussions are provided pertaining to the distribution's 'goodness-of-fit' to simulated Weibull failure times and its use in evaluating stock-out risks associated with discrete stockage levels.

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Document Details

Document Type
Technical Report
Publication Date
Jan 30, 1987
Accession Number
ADA180785

Entities

People

  • Patrick Jr B. Lawler

Organizations

  • United States Army Aviation and Missile Command

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Chi Square Test
  • Distribution Functions
  • Engineering
  • Failure Mode And Effect Analysis
  • Histograms
  • Life Tests
  • Management Engineering
  • Probability
  • Probability Distribution Functions
  • Probability Distributions
  • Random Variables
  • Reliability
  • Simulations
  • Simulators
  • Test And Evaluation
  • Time Intervals

Readers

  • Logistics and Supply Chain Management.
  • Regression Analysis.