Invariance properties of some classical tests for exponentiality

Journal of Statistical Planning and Inference

Volumn 63, Issue 2, 1997, Pages 203-213

  Gupta, Rameshwar D ^a   Richards, Donald St P ^b  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

Characterizations; Dirichlet distribution; Empirical distribution function; Exponential distribution; Kolmogorov Smirnov tests; Liouville distribution; Reliability theory; Robustness of tests; Spacings

Indexed keywords

EID: 0031572767     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00016-5     Document Type: Article

References (18)

1. Alzaid, A.A., Rao, C.R., Shanbhag, D.N., 1987. Solution of the integrated Cauchy equation using exchangeability. Sankhyā, Ser. A 49, 189-194.
2. Devroye, L., 1987. A Course in Density Estimation. Birkhäuser, Boston.
3. Epstein, B., 1960. Tests for the validity of the assumption that the underlying distribution of life is exponential, I. Technometrics 2, 83-101.
4. Galambos, J., Kotz, S., 1978. Characterizations of Probability Distributions. Lecture Notes in Mathematics, vol. 675, Springer, New York.
5. Gupta, R.D., Richards, D.St.P., 1987. Multivariate Liouville distributions. J. Multivariate Anal. 23, 233-256.
6. Gupta, R.D., Richards, D.St.P., 1990. The Dirichlet distributions and polynomial regression. J. Multivariate Anal. 32, 95-102.
7. Gupta, R.D., Richards, D.St.P., 1991. Multivariate Liouville distributions, II. Probab. Math. Statist. 12, 291-309.
8. Gupta, R.D., Richards, D.St.P., 1992. Multivariate Liouville distributions, III. J. Multivariate Anal. 43, 29-57.
9. Gupta, R.D., Richards, D.St.P., 1995. Multivariate Liouville distributions, IV. J. Multivariate Anal., 45, 1-17.
10. Gupta, R.D., Richards, D.St.P., 1997. Multivariate Liouville distributions, V. To appear in Advances in the Theory & Practice of Statistics: A Volume in Honour of Samuel Kotz. Wiley, New York.
11. Kariya, T., Sinha, B.K., 1989. Robustness of Statistical Tests. Academic Press, New York.
12. Lau, K.-S., Rao, C.R., 1982. Integrated Cauchy functional equation and characterizations of the exponential distribution. Sankhyā, Ser. A 44, 72-90.
13. Lefevre, C., Malice, M.-P., 1989. On a system of components with joint lifetimes distributed as a mixture of independent laws. J. Appl. Probab. 26, 202-208.
14. Narayanan, A., 1991. Small sample properties of parameter estimation in the Dirichlet distribution. Commun. Statist. - Simul. 20, 647-666.
15. Rao, C.R., Shanbhag, D.N., 1994. Choquet-Deny Type Functional Equations with Applications to Stochastic Models. Wiley, Chichester.
16. Seshadri, V., Csörgö, M., Stephens, M.A., 1969. Tests for the exponential distribution using Kolmogorov-type statistics. J. Royal Statist. Soc. Ser. B 31, 499-509.
17. Spurrier, J.D., 1984. An overview of tests for exponentiality. Commun. Statist. Theor. Meth. 13, 1635-1654.
18. Stephens, M.A., 1986. Tests for the exponential distribution. In: R.B. D'Agostino and M.A. Stephens (Eds.), Goodness-of-Fit Techniques, Dekker, New York, 421-459.