Classical and Bayesian Goodness-of-fit Tests for the Exponential Model: A Comparative Study

Most common statistical methodologies assume a parametric model for the data and inference is made based on that assumption. If the model does not fit the data, the resulting inference will be mislead. Thus, evaluation of the fitting of a proposed parametric statistical model to a given dataset becomes an important issue.

[1]  J. Berger,et al.  Bayesian and Conditional Frequentist Testing of a Parametric Model Versus Nonparametric Alternatives , 2001 .

[2]  Ryan Martin,et al.  Bayesian Test of Normality Versus a Dirichlet Process Mixture Alternative , 2011, Sankhya B.

[3]  N. Henze,et al.  Recent and classical tests for exponentiality: a partial review with comparisons , 2005 .

[4]  L. Wasserman,et al.  Bayesian goodness-of-fit testing using infinite-dimensional exponential families , 1998 .

[5]  R. D'Agostino,et al.  Goodness-of-Fit-Techniques , 1987 .

[6]  D. Darling,et al.  A Test of Goodness of Fit , 1954 .

[7]  M. J. Bayarri,et al.  P Values for Composite Null Models , 2000 .

[8]  T. Hanson.  Inference for Mixtures of Finite Polya Tree Models , 2006 .

[9]  Valen E. Johnson,et al.  A Bayesian Chi-Squared Test for Goodness of Fit , 2004 .

[10]  Xiao-Li Meng,et al.  POSTERIOR PREDICTIVE ASSESSMENT OF MODEL FITNESS VIA REALIZED DISCREPANCIES , 1996 .

[11]  A. Grané,et al.  A directional test of exponentiality based on maximum correlations , 2011 .

[12]  James M. Robins,et al.  Asymptotic Distribution of P Values in Composite Null Models , 2000 .

[13]  V. Johnson.  Bayesian Model Assessment Using Pivotal Quantities , 2007 .

[14]  N. Hjort,et al.  Post-Processing Posterior Predictive p Values , 2006 .

[15]  M. Lavine.  More Aspects of Polya Tree Distributions for Statistical Modelling , 1992 .

[16]  D. Cox,et al.  Analysis of Survival Data. , 1985 .

[17]  N. Henze,et al.  Tests of fit for exponentiality based on a characterization via the mean residual life function , 2000 .

[18]  Valen E. Johnson.  A Bayesian x2 test for goodness-of-fit , 2004 .

[19]  Byungjin Choi,et al.  Goodness-of-Fit Test for Exponentiality Based on Kullback–Leibler Information , 2004 .

[20]  Ludwig Baringhaus,et al.  A class of consistent tests for exponentiality based on the empirical Laplace transform , 1991 .

[21]  T. W. Epps,et al.  A test of exponentiality vs. monotone-hazard alternatives derived from the empirical characteristic function , 1986 .

[22]  W. Johnson,et al.  Modeling Regression Error With a Mixture of Polya Trees , 2002 .