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...

Discarding undesirable measurement results in Bell experiments opens the detection loophole that prevents a conclusive demonstration of nonlocality. As closing represents major technical challenge for many practical experiments, it is customary to assume so-called fair sampling assumption (FSA) that, its original form, states collectively postselected statistics are sample ideal statistics. Her...