Hazard rate comparison of parallel systems with heterogeneous gamma components

Authors:
N. Balakrishnan;Peng Zhao
Affiliations:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1;School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
Venue:
Journal of Multivariate Analysis
Year:
2013

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Abstract

We compare the hazard rate functions of the largest order statistic arising from independent heterogeneous gamma random variables and that arising from i.i.d. gamma random variables. Specifically, let X"1,...,X"n be independent gamma random variables with X"i having shape parameter 0