Testing departures from Gamma, Rayleigh and truncated normal distributions

Annals of the Institute of Statistical Mathematics

Volumn 49, Issue 2, 1997, Pages 255-269

  Del Castillo, Joan ^a   Puig, Pedro ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Exponential families; Gamma; Rayleigh and singly truncated normal distributions

Indexed keywords

EID: 9844258894     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003158828665     Document Type: Article

References (15)

1. Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions, Dover Publications, New York.
2. Barndorff-Nielsen, O. (1978). Information and Exponential Families, Wiley, Norwich.
3. Barndorff-Nielsen, O. and Cox, D. R. (1979). Edgeworth and saddle-point approximation with statistical application, J. Roy. Statist. Soc. Ser. B, 41(3), 279-312.
4. Barndorff-Nielsen, O. and Cox, D. R. (1989). Asymptotic Techniques for use in Statistics, Chapman and Hall, London.
5. Breitung, K. W. (1994). Asymptotic Approximations for Probability Integrals, Springer, Berlin.
6. Castillo, J. (1994). The singly truncated normal distribution, a non-steep exponential family, Ann. Inst. Statist. Math., 46(1), 57-66.
7. Cobb, L., Koppstein, P. and Chen, N. H. (1983). Estimation and moment recursion relations for multimodal distributions of the exponential family, J. Amer. Statist. Assoc., 78(381), 124-130.
8. D'Agostino, R. and Stephens, M. A. (1986). Goddness-of-Fit Techniques, Marcel Dekker, New York.
9. Johnson, N. and Kotz, S. (1970). Continuous Univariate Distributions-I, Wiley, New York.
10. McCullagh, P. (1987). Tensor Methods in Statistics, Chapman and Hall, London.
11. Pressat, R. (1966). Principes d'analyse, Cours d'analyse démographique de L'I.D.U.P., Editions de l'Institut d'études démographiques, Paris.
12. Rao, C. R. (1973). Linear Statistical Inference and Its Applications, 2nd ed., Wiley, London.
13. Ross, S. M. (1983). Stochastic Processes, Wiley, New York.
14. Self, S. G. and Liang, K. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions, J. Amer. Statist. Assoc., 82(398), 605-610.
15. Toranzos, F. I. (1952). An asymmetric bell-shaped frequency curve, Ann. Math. Statist., 23, 467-469.