Title

The Nbut Class Of Life Distributions

Keywords

Increasing concave order; K out-of-n systems; Life testing; Mixing; Random minima; Series system; Stochastic order; TTT transform order

Abstract

A new class of life distributions, namely new better than used in the total time on test transform ordering (NBUT), is introduced. The relationship of this class to other classes of life distributions, and closure properties under some reliability operations, are discussed. We provide a simple argument based on stochastic orders that the family of the NBUT distribution class is closed under the formation of series systems in case of independent identically distributed components. Behavior of this class is developed in terms of the monotonicity of the residual life of k-out-of-n systems given the time at which the (n - k)-th failure has occurred. Finally, we discuss testing exponentially against the NBUT aging property. © 2005 IEEE.

Publication Date

9-1-2005

Publication Title

IEEE Transactions on Reliability

Volume

54

Issue

3

Number of Pages

396-401

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TR.2005.853277

Socpus ID

27844512479 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/27844512479

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