Tests of fit for exponentiality based on the empirical Laplace transform

Statistics

Volumn 36, Issue 2, 2002, Pages 147-161

  Henze, Norbert ^a   Meintanis, Simos G ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

Empirical Laplace transform; Exponential distribution; Goodness of fit test; Smooth test

Indexed keywords

EID: 0036626815     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331880212042     Document Type: Article

References (32)

1. Ahmad, I.A. and Alwasel, I.A. (1999). A goodness-of-fit test for exponentiality based on the memoryless property. J. R. Statist. Soc., Ser. B, 61, 681-689.
2. Araujo, A. and Giné, E. (1980). The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, New York.
3. Ascher, S. (1990). A survey of tests for exponentiality. Commun. Statist.-Th. Meth., 19, 1811-1825.
4. Baringhaus, L., Gürtler, N. and Henze, N. (2000). Weighted integral test statistics and components of smooth tests of fit. Austral. New Zeal. J. Statist., 42, 179-192.
5. Baringhaus, L. and Henze, N. (1991). A class of consistent tests for exponentiality based on the empirical Laplace transform. Ann. Inst. Statist. Math., 43, 551-564.
6. Baringhaus, L. and Henze, N. (2000). Tests of fit for exponentiality based on a characterization via the mean residual life function. Statistical Papers, 41, 225-236.
7. Castillo, J.D. and Puig, P. ( 1999). The best test of exponentiality against singly truncated normal alternatives. J. Amer. Statist. Ass., 94, 529-532.
8. Chaudhuri, G. (1997). Testing exponentiality against L-distributions. J. Statist. Plann. Inference, 64, 249-255.
9. Csörgo″, S. and Teugels, J. (1990). Empirical Laplace transform and approximation of compound distributions. J. Appl. Probab.,21, 88-101.
10. Csörgo″, S. and Welsh, A. (1989). Testing for exponential and Marshall-Olkin distributions. J. Statist. Plann. Inference, 23, 287-300.
11. D'Agostino, R. and Stephens, M. (1986). Goodness-of-Fit Techniques. Marcel Dekker, Inc., New York.
12. Doksum, K.A. and Yandell, B.S. (1984). Tests for exponentiality. In Handbook of Statistics, Vol. 4(2). North-Holland, pp. 579-612.
13. El Aroui, M.-A. (1996). Un test préquentiel d'adéquation pour la loi exponentielle. C. R. Acad. Sci., Paris, Ser. I, 323, 1069-1072.
14. Galambos, J. and Kotz, S. (1978). Characterization of distributions. Lecture Notes in Mathematics, Vol. 675. Springer, New York.
15. Greenwood, M. (1946). The statistical study of infectious diseases. J. Roy. Statist Soc. Ser. A, 109, 85-110.
16. Grzegorzewski, P. and Wieczorkowski, R. (1999). Entropy-based goodness-of-fit test for exponentiality. Commun. Statist.-Th. Meth., 26, 1183-1202.
17. Gupta, R.D. and Richards, D.St.P. (1997). Invariance properties of some classical tests of exponentiality. J. Statist. Plann. Inference, 63, 203-213.
18. Gwanyama, P.W. (1997). Equivalence of two definitions of a Poisson process, and some modifications of Kolmogorov-Smirnov test for the exponential distribution. Int. J. Math. Edu. Sci. Technol., 28, 545-551.
19. Hahn, J. and Shapiro, S.S. (1967). Statistical Models in Engineering. Wiley, New York.
20. Henze, N. (1993). A new flexible class of omnibus tests for exponentiality. Commun. Statist.-Th. Meth., 22, 115-133.
21. Henze, N. and Wagner, Th. (1997). A new approach to the BHEP tests for multivariate normality. J. Multiv. Anal., 62(1), 1-23.
22. Jörgens, K. (1970). Lineare Integraloperatoren. Teubner, Stuttgart.
23. Klar, B. (2000). A class of tests for exponentiality against HNBUE alternatives. Statist. & Prob. Lett., 47, 199-207.
24. Klefsjö, B. and Westberg, U. (1996). Efficiency calculations of some tests for exponentiality by using TTT-transforms. Arab. J. Math. Sci., 2, 129-149.
25. Nikitin, Ya.Yu. (1996). Bahadur efficiency of a test of exponentiality based on a loss-of-memory type functional equation. J. Nonpar. Statist., 6, 13-26.
26. Rayner, J.C.W. and Best, D.J. (1989). Smooth Tests of Goodness of Fit. Oxford University Press, New York.
27. Sen, K.S. and Srivastava, P.W. (2000). Tests for exponentiality against new better than old in expectation and new better than some used in expectation alternatives. Commun. Statist.-Th. Meth., 29, 157-180.
28. Spurrier, J.D. (1984). An overview of tests for exponentiality. Commun. Statist.-Th. Meth., 13, 1635-1654.
29. Stephens, M.A. (1976). Asymptotic results for goodness-of-fit statistics with unknown parameters. Ann. Statist., 4, 357-369.
30. Stephens, M.A. (1978). On the W test for exponentiality with origin known. Technometrics, 20, 33-35.
31. Widder, D. (1959). The Laplace Transform, 5th ed. Princeton University Press, Princeton.
32. Witting, H. and Müller-Funk, U. (1995). Mathematische Statistik II. Teubner, Stuttgart.