Utilization of Burn-In Data in Determining Constant Failure Rate,

Abstract

The research investigates a three-parameter model for a hazard function that adequately describes the infant mortality and useful life regions of the bathtub curve. The corresponding time-to-failure probability density function is derived and the maximum likelihood equations are developed for the three parameters. The resulting system of equations is transcendental. The Newton-Raphson Method, an iterative technique, is employed to solve this system of equations. Also, an algorithm for determining a starting solution set for the Newton-Raphson Method is discussed. Computer programs are provided for both the Newton-Raphson Method and the starting solution algorithm. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1973
Accession Number
AD0774825

Entities

People

  • Joseph W. Foster
  • William T. Craddock

Organizations

  • United States Army Materiel Command

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computer Programs
  • Computers
  • Cooperation
  • Equations
  • Mathematics
  • Probability
  • Probability Density Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.