Testing distributional assumption of unit-Lindley regression model

OZONUR, Deniz

doi:10.15672/hujms.932811

Testing distributional assumption of unit-Lindley regression model

Deniz ÖZÖMÜR (Gazi Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Teknikokullar, Ankara)

Hacettepe Journal of Mathematics and Statistics

4 2

Yıl: 2022 Cilt: 51 Sayı: 3 Sayfa Aralığı: 882 - 899 Metin Dili: İngilizce DOI: 10.15672/hujms.932811 İndeks Tarihi: 11-04-2023

Testing distributional assumption of unit-Lindley regression model

Öz:

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 describ- ing 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 re- gression 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.

Anahtar Kelime: Chi-square test deviance test power of test smooth test unit-Lindley distribution parametric bootstrap

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	OZONUR D (2022). Testing distributional assumption of unit-Lindley regression model. , 882 - 899. 10.15672/hujms.932811
Chicago	OZONUR Deniz Testing distributional assumption of unit-Lindley regression model. (2022): 882 - 899. 10.15672/hujms.932811
MLA	OZONUR Deniz Testing distributional assumption of unit-Lindley regression model. , 2022, ss.882 - 899. 10.15672/hujms.932811
AMA	OZONUR D Testing distributional assumption of unit-Lindley regression model. . 2022; 882 - 899. 10.15672/hujms.932811
Vancouver	OZONUR D Testing distributional assumption of unit-Lindley regression model. . 2022; 882 - 899. 10.15672/hujms.932811
IEEE	OZONUR D "Testing distributional assumption of unit-Lindley regression model." , ss.882 - 899, 2022. 10.15672/hujms.932811
ISNAD	OZONUR, Deniz. "Testing distributional assumption of unit-Lindley regression model". (2022), 882-899. https://doi.org/10.15672/hujms.932811

APA	OZONUR D (2022). Testing distributional assumption of unit-Lindley regression model. Hacettepe Journal of Mathematics and Statistics, 51(3), 882 - 899. 10.15672/hujms.932811
Chicago	OZONUR Deniz Testing distributional assumption of unit-Lindley regression model. Hacettepe Journal of Mathematics and Statistics 51, no.3 (2022): 882 - 899. 10.15672/hujms.932811
MLA	OZONUR Deniz Testing distributional assumption of unit-Lindley regression model. Hacettepe Journal of Mathematics and Statistics, vol.51, no.3, 2022, ss.882 - 899. 10.15672/hujms.932811
AMA	OZONUR D Testing distributional assumption of unit-Lindley regression model. Hacettepe Journal of Mathematics and Statistics. 2022; 51(3): 882 - 899. 10.15672/hujms.932811
Vancouver	OZONUR D Testing distributional assumption of unit-Lindley regression model. Hacettepe Journal of Mathematics and Statistics. 2022; 51(3): 882 - 899. 10.15672/hujms.932811
IEEE	OZONUR D "Testing distributional assumption of unit-Lindley regression model." Hacettepe Journal of Mathematics and Statistics, 51, ss.882 - 899, 2022. 10.15672/hujms.932811
ISNAD	OZONUR, Deniz. "Testing distributional assumption of unit-Lindley regression model". Hacettepe Journal of Mathematics and Statistics 51/3 (2022), 882-899. https://doi.org/10.15672/hujms.932811