A new one parameter discrete distribution and its applications

被引：4
作者：
Shukla, Kamlesh Kumar [1 ]
Shanker, Rama [2 ]
Tiwari, Manoj Kumar [3 ,4 ]
机构：
[1] Noida Int Univ, Noida Int Inst Med Sci, Dept Stat, Gautam Buddh Nagar, Uttar Pradesh, India
[2] Assam Univ, Dept Stat, Silchar, Assam, India
[3] Sultan Qaboos Univ, Dept Stat, Muscat, Oman
[4] Panjab Univ, Dept Stat, Chandigarh 160014, India
来源：
JOURNAL OF STATISTICS AND MANAGEMENT SYSTEMS | 2022年 / 25卷 / 01期
关键词：
Ram Awadh distribution; Moments based measures; Properties; Estimation of parameter; Goodness of fit; LINDLEY DISTRIBUTION;
D O I：
10.1080/09720510.2021.1893475
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, a new one parameter discrete distribution which is better than several well-known one parameter discrete distributions has been proposed. The expressions for its coefficient of variation, skewness, kurtosis and index of dispersion have been obtained and their behaviors illustrated graphically. The method of moment and the method of maximum likelihood estimation for estimating the parameter have been discussed. The simulation study has also been presented in order to illustrate the performance of maximum likelihood estimator. The goodness of fit of the proposed distribution has been explained with three examples of count datasets and its fit was found quite satisfactory over Poisson distribution, Poisson-Lindley distribution, Poisson-Akash distribution and Poisson-Ishita distribution.
引用
收藏
页码：269 / 283
页数：15
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