A NON-NEGATIVE INTEGER-VALUED MODEL: ESTIMATION, COUNT REGRESSION AND PRACTICAL EXAMPLES

被引：0

作者：

Bakouch, Hassan S. ^{[1
,2
]}

Karakaya, Kadir ^{[3
]}

Chesneau, Christophe ^{[4
]}

Akdogan, Yunus ^{[3
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

[3] Selcuk Univ, Fac Sci, Dept Stat, Konya, Turkey

[4] Univ Caen, LMNO, Campus 2,Sci 3, Caen, France

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2022年 / 16卷 / 02期

关键词：

Poisson-Lindley distribution; Estimation; Data analysis; Count regression;

D O I：

10.2298/AADM210114029B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we propose a non-negative integer-valued model based on the sum of Poisson-Lindley and geometric distributions. We show that it corresponds to the weighted geometric distribution and also a special mixture of two negative binomial distributions with certain parameters. The main statistical properties of the new distribution are studied comprehensively, including estimation of the model parameter. A new count regression analysis is introduced by using the new distribution. Finally, we provide some applications on practical data sets.

引用

页码：467 / 484

页数：18

共 50 条

[31] Bayesian generalizations of the integer-valued autoregressive model
C. Marques F., Paulo
Graziadei, Helton
Lopes, Hedibert F.
JOURNAL OF APPLIED STATISTICS, 2022, 49 (02) : 336 - 356
[32] Estimation for random coefficient integer-valued autoregressive model under random environment
Cui, Yan
Wang, Yun Y.
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[33] On shifted integer-valued autoregressive model for count time series showing equidispersion, underdispersion or overdispersion
da Cunha, Enai Taveira
Bourguignon, Marcelo
Vasconcellos, Klaus L. P.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (20) : 4822 - 4843
[34] Integer-Valued GARCH Models for Count Time Series: Case Study
Yoon, J. E.
Hwang, S. Y.
KOREAN JOURNAL OF APPLIED STATISTICS, 2015, 28 (01) : 115 - 122
[35] A new bivariate integer-valued GARCH model allowing for negative cross-correlation
Yan Cui
Fukang Zhu
TEST, 2018, 27 : 428 - 452
[36] A new bivariate integer-valued GARCH model allowing for negative cross-correlation
Cui, Yan
Zhu, Fukang
TEST, 2018, 27 (02) : 428 - 452
[37] Integer-valued Bilinear Model with Dependent Counting Series
Ramezani, Sakineh
Mohammadpour, Mehrnaz
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2022, 24 (01) : 321 - 343
[38] Flexible bivariate Poisson integer-valued GARCH model
Yan Cui
Qi Li
Fukang Zhu
Annals of the Institute of Statistical Mathematics, 2020, 72 : 1449 - 1477
[39] A model for integer-valued time series with conditional overdispersion
Xu, Hai-Yan
Xie, Min
Goh, Thong Ngee
Fu, Xiuju
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (12) : 4229 - 4242
[40] Robust estimation for general integer-valued time series models
Byungsoo Kim
Sangyeol Lee
Annals of the Institute of Statistical Mathematics, 2020, 72 : 1371 - 1396

← 1 2 3 4 5 →