The Class of MIFRA Lifetimes and Its Relation to Other Classes.

Abstract

In a previous paper, the authors have introduced a class of multivariate lifetimes (MIFRA) which generalize the univariate lifetimes with increasing failure rate average (IFRA). They have also shown that this class satisfies many fundamental properties. In this paper it is shown that other concepts of multivariate IFRA do not satisfy all of these properties. Relationships between MIFRA and these other concepts are given. Finally positive dependence implications with respect to these classes are also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1978
Accession Number
ADA059645

Entities

People

  • Henry W. Block
  • Thomas H. Savits

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Convolution
  • Data Science
  • Distribution Functions
  • Functions (Mathematics)
  • Inequalities
  • Information Science
  • Intervals
  • Mathematics
  • Military Research
  • Notation
  • Probability
  • Quadrants
  • Random Variables
  • Reliability
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.