A Bayesian goodness-of-fit test for regression

A Bayesian 2 test for goodness-of-fit

This article describes an extension of classical χ goodness-of-fit tests to Bayesian model assessment. The extension, which essentially involves evaluating Pearson’s goodness-of-fit statistic at a parameter value drawn from its posterior distribution, has the important property that it is asymptotically distributed as a χ random variable on K − 1 degrees of freedom, independently of the dimensi...

Regression Goodness-Of-Fit Test for Software Reliability Model Validation

Nonparametric Goodness-of-fit Test for Heteroscedastic Regression Models

For the heteroscedastic nonparametric regression model Yni = m(xni)+σ(xni)2ni, i = 1, ..., n, a novel method is proposed for testing that the regression function m is constant. The test statistic is motivated by recent developments in the asymptotic theory for analysis of variance when the number of factor levels is large. Its asymptotic normality is derived under the null hypothesis and suitab...

A Goodness of Fit Test For Exponentiality Based on Lin-Wong Information

In this paper, we introduce a goodness of fit test for expo- nentiality based on Lin-Wong divergence measure. In order to estimate the divergence, we use a method similar to Vasicek’s method for estimat- ing the Shannon entropy. The critical values and the powers of the test are computed by Monte Carlo simulation. It is shown that the proposed test are competitive with other tests of exponentia...

A New Goodness-of-Fit Test for a Distribution by the Empirical Characteristic Function

Extended Abstract. Suppose n i.i.d. observations, X1, …, Xn, are available from the unknown distribution F(.), goodness-of-fit tests refer to tests such as H0 : F(x) = F0(x) against H1 : F(x) $neq$ F0(x). Some nonparametric tests such as the Kolmogorov--Smirnov test, the Cramer-Von Mises test, the Anderson-Darling test and the Watson test have been suggested by comparing empirical ...