A Multivariate New Better Than Used Class Derived from a Shock Model.

Abstract

The univariate 'new better than used' (NBU) class of life distributions was shown by Marshall and Proschan (1972) to play a key role in the study of maintenance policies. In this paper, it introduces a multivariate version of the NBU distribution based on a physical model. Shocks occur in time which cause the simultaneous failure of subsets of components. The interval of time until the occurrence of a shock destroying a given subset of components is governed by an NBU distribution. The occurrence times are mutually independent. Note the similarity of this model with the shock model leading to the Marshall-Olkin (1967) multivariate exponential (MVE) distribution. In the Marshall-Olkin model shock times have exponential distributions; in this model, shock times have NBU distributions.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA084794

Entities

People

  • Emad El-neweihi
  • Frank Proschan
  • Jayaram Sethuraman

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Catalogs
  • Continents
  • Geographic Regions
  • Illinois
  • Intervals
  • Maintenance
  • Mathematics
  • Military Research
  • New York
  • North America
  • Probability
  • Random Variables
  • Scientific Research
  • Statistics
  • Survival

Fields of Study

  • Mathematics

Readers

  • Statistical inference.