Multidimensional IFRA Processes.

Abstract

Two types of multidimensional processes are defined. The first of these generalizes a univariate IFRA process due to Ross and relates to a multivariate concept of IFRA due to Esary and Marshall. The second of these relates to a multivariate concept of IFRA due to the present authors. Decompositions for multistate monotone structure functions are given and behavior of nonincreasing stochastic processes such as those given above is analyzed. Various coherence assumptions for multistate systems are also analyzed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA071598

Entities

People

  • Henry W. Block
  • Thomas H. Savits

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Decomposition
  • Indicators
  • Mathematics
  • Military Research
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.