THE BETA-RAYLEIGH DISTRIBUTION ON THE LATTICE OF INTEGERS

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NEKOUKHOU VAHID

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Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2016 | Volume:12 | Issue:2 Page(s): 205-224

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Title

THE BETA-RAYLEIGH DISTRIBUTION ON THE LATTICE OF INTEGERS

Author(s)

NEKOUKHOU VAHID | Issue Writer Certificate

Keywords

DISCRETE RAYLEIGH DISTRIBUTION

GENERALIZED DISCRETE RAYLEIGH DISTRIBUTION

EXPONENTIATED DISCRETE WEIBULL DISTRIBUTION

HAZARD RATE FUNCTION

Abstract

In this paper, a discrete analog of the beta-Rayleigh distribution is studied. This new distribution contains the generalized discrete Rayleigh and discrete Rayleigh distributions as special sub-models. Some distributional and moment properties of the new discrete distribution as well as its order statistics are discussed. We will see that the hazard rate function of the new model can be increasing, bathtub-shaped and upside-down bathtub. Estimation of the parameters is illustrated and, finally, the model with a real data set is examined.

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APA: Copy

NEKOUKHOU, VAHID. (2016). THE BETA-RAYLEIGH DISTRIBUTION ON THE LATTICE OF INTEGERS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 12(2), 205-224. SID. https://sid.ir/paper/687710/en

Vancouver: Copy

NEKOUKHOU VAHID. THE BETA-RAYLEIGH DISTRIBUTION ON THE LATTICE OF INTEGERS. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2016;12(2):205-224. Available from: https://sid.ir/paper/687710/en

IEEE: Copy

VAHID NEKOUKHOU, “THE BETA-RAYLEIGH DISTRIBUTION ON THE LATTICE OF INTEGERS,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 12, no. 2, pp. 205–224, 2016, [Online]. Available: https://sid.ir/paper/687710/en

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