A mixture model of size-biased distributions

M. Kayid (), S. Izadkhah, J. Jarrahiferiz and P. Asghari
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M. Kayid: King Saud University
S. Izadkhah: Higher Education Complex of Bam
J. Jarrahiferiz: Birjand Branch, Islamic Azad University
P. Asghari: Ferdowsi University of Mashhad

Metrika: International Journal for Theoretical and Applied Statistics, 2016, vol. 79, issue 5, No 2, 513-529

Abstract: Abstract In reliability and survival analysis, to model lifetime data, size-biased distributions are useful. In this paper, a mixture model of size-biased distributions is introduced and studied. Several reliability properties of this model are investigated. In addition, some implications of well-known stochastic orders and aging classes concerning the model are established. To underline the usefulness of the model, some examples of interest in reliability and statistics are given.

Keywords: Length-biased distribution; Likelihood ratio order; Hazard rate order; $$\hbox {TP}_{2}$$ TP 2; ILR (DLR); IFR (DFR) (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s00184-015-0565-5

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