Modified goodness-of-fit tests for the inverse Gaussian distribution

作者: Huseyin Gunes , Dennis C. Dietz , Paul F. Auclair , Albert H. Moore

DOI: 10.1016/S0167-9473(96)00056-4

关键词:

摘要: Abstract Modified Kolmogorov-Smirnov (KS), Kuiper (V), Cramer-von Mises (CV), Watson (W), Anderson-Darling (AD) and sequential goodness-of-fit tests are developed for the inverse Gaussian distribution with unknown parameters. A Monte Carlo procedure is employed to generate critical values a wide range of sample sizes shape Power studies indicate that W test most effective against alternate distributions very similar in null distribution. Otherwise, modified AD generally demonstrates highest power among single tests. To eliminate need extensive value tables, functional relationships between values, sizes, parameters reported.

参考文章(17)
Gemai Chen, N. Balakrishnan, A General Purpose Approximate Goodness-of-Fit Test Journal of Quality Technology. ,vol. 27, pp. 154- 161 ,(1995) , 10.1080/00224065.1995.11979578
Jonathan Shuster, On the Inverse Gaussian Distribution Function Journal of the American Statistical Association. ,vol. 63, pp. 1514- 1516 ,(1968) , 10.1080/01621459.1968.10480942
Mohammad Ahsanullah, Raj S. Chhikara, J. Leroy Folks, The inverse gaussian distribution: theory, methodology, and applications Journal of the American Statistical Association. ,vol. 85, pp. 908- ,(1989) , 10.2307/2290048
John R. Michael, William R. Schucany, Roy W. Haas, Generating Random Variates Using Transformations with Multiple Roots The American Statistician. ,vol. 30, pp. 88- 90 ,(1976) , 10.1080/00031305.1976.10479147
R. S. Chhikara, J. L. Folks, The Inverse Gaussian Distribution as a Lifetime Model Technometrics. ,vol. 19, pp. 461- 468 ,(1977) , 10.1080/00401706.1977.10489586
M. C. GACULA, J. J. KUBALA, STATISTICAL MODELS FOR SHELF LIFE FAILURES Journal of Food Science. ,vol. 40, pp. 404- 409 ,(1975) , 10.1111/J.1365-2621.1975.TB02212.X
Rick L. Edgeman, Robert C. Scott, Robert J. Pavur, A modified Kolmogorov-Smirnov test for the inverse gaussian density with unknown parameters Communications in Statistics - Simulation and Computation. ,vol. 17, pp. 1203- 1212 ,(1988) , 10.1080/03610918808812721
Federico J. O'Reilly, RaÚL Rueda, Goodness of fit for the inverse Gaussian distribution Canadian Journal of Statistics-revue Canadienne De Statistique. ,vol. 20, pp. 387- 397 ,(1992) , 10.2307/3315609
H. Leon Harter, Another look at plotting positions Communications in Statistics-theory and Methods. ,vol. 13, pp. 1613- 1633 ,(1984) , 10.1080/03610928408828781