Poisson generalized Lindley process and its properties

Ji Hwan Cha () and F. G. Badía ()
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Ji Hwan Cha: Ewha Womans University
F. G. Badía: University of Zaragoza

Metrika: International Journal for Theoretical and Applied Statistics, 2024, vol. 87, issue 1, No 4, 74 pages

Abstract: Abstract In spite of the practical usefulness of the nonhomogeneous Poisson process, it still has some restrictions. To overcome these restrictions, the Poisson Lindley process has been recently developed and introduced in Cha (Stat Probab Lett 152: 74–81, 2019). In this paper, we further generalize the Poisson Lindley process, so that the developed counting process model should have the restarting property and it should include the generalized Polya process as a special case. Some basic stochastic properties of the developed counting process model are derived. Dependence properties and stochastic comparisons are also discussed under a more general framework.

Keywords: Poisson generalized lindley process; Stochastic properties; Restarting property; Generalized polya process; Positive dependence; Primary 60K10; Secondary 62P30 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00184-023-00906-4

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