TY  - JOUR
TI  - Testing distributional assumption of unit-Lindley regression model
AB  - 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.
AU  - OZONUR, Deniz
DO  - 10.15672/hujms.932811
PY  - 2022
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 51
IS  - 3
SN  - 1303-5010
SP  - 882
EP  - 899
DB  - TRDizin
UR  - http://search/yayin/detay/1162776
ER  -