The Cos-Poisson model with a novel count regression analysis

Hassan BAKOUCH; Christophe CHESNEAU; Kadir KARAKAYA; Coşkun KUŞ

doi:https://doi.org/10.15672/hujms.740872

Article Details

The Cos-Poisson model with a novel count regression analysis

Authors:

Hassan BAKOUCH | Christophe CHESNEAU | Kadir KARAKAYA | Coşkun KUŞ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.559-578

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000450747

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.740872

Abstract:

 

In this paper, we propose a new generalization of the Poisson distribution by using the concept of the weighted distribution; a trigonometric weight with the cosine function is used. We derive some distributional properties of the new distribution, such as the cumulative distribution function, moment generating function, factorial moments, and index of dispersion. Then, the related model is considered for modeling purposes, with estimation of the model parameters performed via several methods. Zero-inflated count regression analysis is introduced by using the new distribution. Finally, we provide two applications of the obtained results on practical data sets.

Article Details

The Cos-Poisson model with a novel count regression analysis

Authors: Hassan BAKOUCH | Christophe CHESNEAU | Kadir KARAKAYA | Coşkun KUŞ

Publisher: Hacettepe University

Main Topics: Analysis

Journal: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.559-578

Document Type: Article

Publication Date: 4/2021

Document Language: English

Document ID (Org No.): 2000450747

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.740872

Issues

Authors:

Hassan BAKOUCH | Christophe CHESNEAU | Kadir KARAKAYA | Coşkun KUŞ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 2, pp.559-578

Document Type:

Article

Publication Date:

4/2021

Document Language:

English

Document ID (Org No.):

2000450747

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.740872