Poisson generalized Lindley process and its properties
- 주제(키워드) Generalized polya process , Poisson generalized lindley process , Positive dependence , Restarting property , Stochastic properties
- 등재 SCIE, SCOPUS
- 발행기관 Springer Science and Business Media Deutschland GmbH
- 발행년도 2024
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000213523
- 본문언어 영어
- Published As https://doi.org/10.1007/s00184-023-00906-4
초록/요약
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. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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