Distributional Assumption Tests for Unit-Lindley Regression Model

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