The Binomial-Natural Discrete Lindley Distribution: Properties and Application to Count Data

被引：6
|
作者：
Shafiq, Shakaiba [1 ]
Khan, Sadaf [1 ]
Marzouk, Waleed [2 ]
Gillariose, Jiju [3 ]
Jamal, Farrukh [1 ]
机构：
[1] Islamia Univ Bahawalpur, Dept Stat, Bahawalpur 63100, Pakistan
[2] Cairo Univ, Fac Grad Studies Stat Res, Dept Math Stat, Giza 12613, Egypt
[3] CHRIST Deemed Univ, Dept Stat, Hosur Rd, Bangalore 560029, Karnataka, India
来源：
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS | 2022年 / 27卷 / 04期
关键词：
discretizing; natural discrete Lindley distribution; over dispersion; maximum likelihood estimation;
D O I：
10.3390/mca27040062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new discrete distribution called Binomial-Natural Discrete Lindley distribution is proposed by compounding the binomial and natural discrete Lindley distributions. Some properties of the distribution are discussed including the moment-generating function, moments and hazard rate function. Estimation of the distribution's parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square error. SO2 data applications are also presented to see that the new distribution is useful in modeling data.
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页数：17
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