A goodness of fit approach to testing mean residual times

Applied Mathematics and Computation

Volumn 143, Issue 2-3, 2003, Pages 301-307

  El Bassiouny, Ahmed H ^a   Alwasel, Ibrahim A ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Asymptotic normality; Decreasing mean residual life; Efficiency; Goodness of fit testing; Hypothesis testing; Life distributions; Monte Carlo methods; Power

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; MONTE CARLO METHODS;

MEAN RESIDUAL TIMES;

ASYMPTOTIC STABILITY;

EID: 0037507442     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00362-4     Document Type: Article

References (10)

1. Ahmad I.A. A new test for mean residual life times. Biometrika. 79:1992;416-419.
2. Ahmad I.A., Alwasel I.A., Mugdadi A.R. A goodness of fit approach to major life testing problems. Int. J. Reliab. Appl. 2:2001;81-97.
3. Bryson M.C., Siddiqi M.M. Some criteria for aging. J. Am. Statist. Assoc. 64:1969;1472-1483.
4. Bryson M.C. Heavy-tailed distributions: properties and tests. Technometrics. 16:1974;61-68.
5. Blakema A.A., De Haan L. Residual life time at great age. Ann. Prob. 2:1974;792-804.
6. Hall W.J., Wellner J.A. Mean residual life. Csorgo M., Dawson D.A., Rao J.N.K., Saleh A.K.Md Statistics and Related Topics. 1981;168-184 North Holland, Amsterdam.
7. Hendi M.I., Abouammoh A.M. Testing new better than renewal used life distributions based on U-test. Commun. Statist.-Theor. Method. 30:2001;2135-2147.
8. Hollander M., Proschan F. Tests for mean residual life. Biometrika. 62:1975;585-592.
9. Langenberger P., Srinivasan R. Null distribution of the Hollander-Proschan statistic for decreasing mean residual life. Biometrika. 66:1979;679-680.
10. A.W. Marshall, F. Proschan, Classes of distributions applicable in replacements policies with renewal theory implications, Proc. 6th Berkeley Symp. Math. Statist. and Prob., vol. 1, 1972, pp. 395-415.