Inference for the Exponential Life Distribution,

Abstract

Our objective is to develop methodology for analyzing life test data. Initially, there is only data-no mathematical models. Through an exploratory data analysis or an analysis based on the physical processes generating the data, an exponential life distribution model may be judged as appropriate for the analysis of the data. Specifically: where lambda is the unknown constant failure rate. The vertical bar in F(x/lambda) indicates that we are conditioning on the parameter lambda; i.e., for specified lambda the distribution is exponential with failure rate lambda. The corresponding density is F(x/lambda) = lambda exp -LAMBDA X, x > or =, lambda > 0.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA186722

Entities

People

  • Frank Proschan
  • R. E. Barlow

Organizations

  • Florida State University

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Business Administration
  • Classification
  • Data Analysis
  • Data Mining
  • Data Science
  • Information Science
  • Life Tests
  • Mathematical Models
  • Operations Research
  • Probability
  • Random Variables
  • Reliability
  • Sampling
  • Statistical Inference
  • Statistics
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Neural Networks