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UNIVARIATE AND MULTIVARIATE STOCHASTIC COMPARISONS AND AGEING PROPERTIES OF THE GENERALIZED POLYA PROCESS

Title
UNIVARIATE AND MULTIVARIATE STOCHASTIC COMPARISONS AND AGEING PROPERTIES OF THE GENERALIZED POLYA PROCESS
Authors
Badia, F. G.Sanguesa, C.Cha, Ji Hwan
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2018
Journal Title
JOURNAL OF APPLIED PROBABILITY
ISSN
0021-9002JCR Link

1475-6072JCR Link
Citation
JOURNAL OF APPLIED PROBABILITY vol. 55, no. 1, pp. 233 - 253
Keywords
Generalized Polya processepoch timestochastic orderageing propertygeneralized order statistics
Publisher
CAMBRIDGE UNIV PRESS
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
In this work we consider the generalized Polya process with baseline intensity function r and parameters alpha and beta recently studied by Cha (2014). The aim of this work is to provide both univariate and multivariate stochastic comparisons between two generalized Polya processes with different baseline intensity functions and the same parameters alpha and beta for the epoch and inter-epoch times of the two processes. The comparisons are analogous to stochastic comparisons in Belzunce et al. (2001) for two nonhomogeneous Poisson or pure-birth processes with different intensity functions. Moreover, we study both univariate and multivariate ageing properties of the epoch and inter-epoch times of the generalized Polya process.
DOI
10.1017/jpr.2018.15
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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