Exact likelihood ratio scale and homogeneity testing of some loss processes

Statistics and Probability Letters

Volumn 76, Issue 1, 2006, Pages 19-26

  Stehlík, Milan ^a,b  

^a Institute of Experimental Physics of the Slovak Academy of Sciences   (Slovakia)

^b VIENNA UNIVERSITY OF ECONOMICS AND BUSINESS   (Austria)

Author keywords

Asymptotic optimality; Gamma distribution; Homogeneity; Likelihood ratio; Loss distribution; Testing; Weibull distribution

Indexed keywords

EID: 30944469823     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2005.06.005     Document Type: Article

References (9)

1. R.M. Corless G.H. Gonnet D.E.G. Hare D.J. Jeffrey D.E. Knuth On the Lambert W function Adv. Comput. Math. 5 1996 329-359
2. R.V. Hogg S.A. Klugman Loss distributions. Wiley Series in Probability and Mathematical Statistics 1984 Wiley New York
3. E.L. Lehmann Testing Statistical Hypotheses second ed. 1986 Wiley New York
4. F. Rublík On optimality of the LR tests in the sense of exact slopes. Part 1, General case Kybernetika 25 1989 13-25
5. F. Rublík On optimality of the LR tests in the sense of exact slopes. Part 2, Application to Individual Distributions Kybernetika 25 1989 117-135
6. Stehlík, M., 2003a. Distributions of exact tests in the exponential family. Metrika, vol. 57, Springer, Heidelberg, pp. 145-164.
7. Stehlík, M., 2003b. The exact LR test of the scale in the Gamma family. In: Probastat 2002, Tatra Mountains Mathematical Publications, vol. 26, pp. 381-390.
8. A.V. Tchirina Bahadur efficiency and local optimality of a test for the exponential distribution based on the Moran statistic Zapiski Nauchn. Sem. POMI 294 2002 245-259
9. S.S. Wilks Mathematical Statistics 1962 Wiley New York