Reliability bounds on ‘harmonic new better than used in expectation’ life distributions with known first two moments

Reliability bounds on ‘harmonic new better than used in expectation’ life distributions with known first two moments

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Article ID: iaor20021370
Country: Netherlands
Volume: 132
Issue: 1
Start Page Number: 163
End Page Number: 175
Publication Date: Jul 2001
Journal: European Journal of Operational Research
Authors: ,
Abstract:

In this paper, we study upper and lower bounds for the reliability function in harmonic new better than used in expectation (HNBUE) life distribution class with known first two moments. Here we say a life distribution has HNBUE property if the integral harmonic mean value of the residual life in any interval [0,t] is no more than its mean. By a constructive proof, we determine the lower and upper reliability bounds analytically and show that these bounds are all sharp.

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