Characterization of a class of lifetime distributions

Characterization of a class of lifetime distributions

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Article ID: iaor2009151
Country: Poland
Volume: 35
Issue: 2
Start Page Number: 407
End Page Number: 414
Publication Date: Jan 2006
Journal: Control and Cybernetics
Authors:
Keywords: quality & reliability, statistics: distributions
Abstract:

The author has previously introduced the ageing class MTFR (Mean Time to Failure or Repair) of lifetime distribution. In this paper, he shows that the family of MTFR is closed under weak convergence of distribution and convolution. It is demonstrated that the dual family MTFRD (in a particular case) is closed under mixtures.

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