integer valued autoregressive processes with generalized discrete mittag-leffler marginals
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ID: 199737
2013
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Abstract
In this paper we consider a generalization of discrete Mittag-Leffler distributions. We introduce and study the properties of a new distribution called geometric generalized discrete Mittag-Leffler distribution. Autoregressive processes with geometric generalized discrete Mittag-Leffler distributions are developed and studied. The distributions are further extended to develop a more general class of geometric generalized discrete semi-Mittag-Leffler distributions. The processes are extended to higher orders also. An application with respect to an empirical data on customer arrivals in a bank counter is also given. Various areas of potential applications like human resource development, insect growth, epidemic modeling, industrial risk modeling, insurance and actuaries, town planning etc are also discussed.
| Reference Key |
jose2013statisticainteger
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|---|---|
| Authors | ;Kanichukattu K. Jose;K. D. Mariyamma |
| Journal | advances in mathematical physics |
| Year | 2013 |
| DOI |
10.6092/issn.1973-2201/3643
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