Testing distributional assumption of unit-Lindley regression model

Deniz ÖZONUR

doi:https://doi.org/10.15672/hujms.932811

Makale detayları

Testing distributional assumption of unit-Lindley regression model

Yazarlar:

Deniz ÖZONUR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.882-899

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450259

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.932811

Özet:

 

This paper proposes smooth goodness of fit test statistic and its components to test the distributional assumption of the unit-Lindley regression model, which is useful for describing data measured between zero and one. Orthonormal polynomials on the unit-Lindley distribution, score functions and Fisher's information matrix are provided for the smooth test. Deviance and  Pearson's chi-square tests are also adapted to the unit-Lindley regression model. A parametric bootstrap simulation study is conducted to compare type I errors and powers of the tests under different scenarios. Empirical findings demonstrate that the first smooth component, deviance, and chi-square tests have undesirable behavior for the unit-Lindley regression model.  A real data set is analyzed by using the developed tests to show the adequacy of the unit-Lindley regression model.  Model selection criteria and residual analysis prove that the unit-Lindley regression model provides a better fit than the Beta and simplex regression models for the real data set.

Makale detayları

Testing distributional assumption of unit-Lindley regression model

Yazarlar: Deniz ÖZONUR

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.882-899

Belge Tipi: Makale

Yayın Tarihi: 5/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450259

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.932811

Sayı

Yazarlar:

Deniz ÖZONUR

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.882-899

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450259

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.932811