On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

Kumar, C. Satheesh; Riyaza, A.

doi:10.5351/csam.2013.20.5.417

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2016

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Cited by 2 publications

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“…Due to practical suitability of the LSD in case of data with long tails, several generalized forms of it have been proposed in the literature. For example see Jain and Gupta [5], Kempton [7], Tripathi and Gupta [26,27], Ong [20], Khang and Ong [8] and Kumar and Riyaz [14,15].…”

Section: Introductionmentioning

confidence: 99%

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Kumar¹,

Riyaz²

2016

JSTA

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Here we develop an order k version of the alpha-logarithmic series distribution of Kumar and Riyaz (South African Statist. J., 2014) through its probability generating function and derive its probability mass function, mean and variance. The parameters of the model are estimated by the method of maximum likelihood and the distribution has been fitted to certain real life data sets. Certain test procedures are considered for testing the significance of the additional parameters of the distribution. In addition, a simulation study is conducted for assessing the performance of the likelihood estimators of each of the parameters of the model.

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