@article{45f0c66d324e4569971b4599646c2192,
title = "Univariate and multivariate stochastic comparisons and ageing properties of the generalized P{\'o}lya process",
abstract = "In this work we consider the generalized P{\'o}lya process with baseline intensity function r and parameters α and β recently studied by Cha (2014). The aim of this work is to provide both univariate and multivariate stochastic comparisons between two generalized P{\'o}lya processes with different baseline intensity functions and the same parameters α and β 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 P{\'o}lya process.",
keywords = "ageing property, epoch time, generalized order statistics, Generalized P{\'o}lya process, stochastic order",
author = "Bad{\'i}a, {F. G.} and C. Sang{\"u}esa and Cha, {Ji Hwan}",
note = "Funding Information: The work of the first and second author has been supported by the Spanish Government under research projects MTM2012-36603-C02-02 and MTM2015-63978(MINECO/FEDER). The work of the third author was supported by a Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant number 2009-0093827). The work of the third author was also supported by an NRF grant funded by the Korean Government (grant number 2016R1A2B2014211) Funding Information: The corresponding author of this paper is Ji Hwan Cha. The authors thank the anonymous referees for very careful reviews and insightful comments on this paper. The work of the first and second author has been supported by the Spanish Government under research projects MTM2012-36603-C02-02 and MTM2015-63978(MINECO/FEDER). The work of the third author was supported by a Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (grant number 2009-0093827). The work of the third author was also supported by an NRF grant funded by the Korean Government (grant number 2016R1A2B2014211). Publisher Copyright: Copyright {\textcopyright} Applied Probability Trust 2018.",
year = "2018",
month = mar,
day = "1",
doi = "10.1017/jpr.2018.15",
language = "English",
volume = "55",
pages = "233--253",
journal = "Journal of Applied Probability",
issn = "0021-9002",
publisher = "Cambridge University Press",
number = "1",
}