The Binomial-Discrete Poisson-Lindley Model:Modeling and Applications to Count Regression

作     者：Christophe Chesneau Hassan S.Bakouch Yunus Akdogan Kadir Karakaya Christophe Chesneau;Hassan S.Bakouch;Yunus Akdo?an;Kadir Karakaya

作者机构：LMNOUniversity of Caen-NormandieCaenFrance Department of MathematicsFaculty of ScienceTanta UniversityTantaEgypt. Department of StatisticsFaculty of ScienceSelcuk UniversityKonyaTurkey 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2022年第38卷第1期

页      面：28-51页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Binomial-discrete family Poisson-Lindley distribution estimation data analysis count regression 

摘      要：On the basis of a well-established binomial structure and the socalled Poisson-Lindley distribution,a new two-parameter discrete distribution is *** properties are studied from both the theoretical and practical *** the theory,we discuss the moments,survival and hazard rate functions,mode and quantile *** statistical inference on the model parameters is investigated by the maximum likelihood,moments,proportions,least square,and weighted least square estimations.A simulation study is conducted to observe the performance of the bias and mean square error of the obtained ***,applications to two practical data sets are ***,we construct a new flexible count data regression model called the binomial-Poisson Lindley regression model with two practical examples in the medical area.