Testing new better than renewal used life distributions based on U-test

Communications in Statistics - Theory and Methods

Volumn 30, Issue 10, 2001, Pages 2135-2147

  Hendi, M I ^a   Abouammoh, A M ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Asymptotic normality; Efficiency; Exponentiality; HNBRUE; NBRUE; U test

Indexed keywords

EID: 0035475501     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-100106067     Document Type: Article

References (24)

1. Bryson, M.C.; Siddiqui, M.M. Some criteria of ageing. J. Amer. Statist. Assoc., 1969, 64, 1472-1483.
2. Rolski, T. Mean residual life. Z. Waltscheinlichkeitsth. Verw Geb., 1975, 33, 714-718.
3. Barlow, R.E.; Proschan, F. Statistical Theory of Reliability and Life Testing. 1981, To Begin, with Silver Spring, MD.
4. Abouammoh, A.M. On the criteria of the mean remaining life. Statist. Prob. Lett., 1988, 6, 205-211.
5. Proschan, F.; Pyke, R. Tests for monotone failure rate. Proc. 5th Berkeley Symp. Math. Statist., 1967, 3, 293-312.
6. Barlow, R.E. Likelihood ratio tests for restricted families at probability distributions. Ann. Math. Statist., 1968, 39, 547-560.
7. Bickel, P.J.; Doksum, K. Tests for monotone failure rate based on normalized spacings. Ann. Math. Statist., 1969, 40, 1216-1235.
8. Ahmad, I.A. A nonparametric test for monotonicity of a failure rate function. Communications in Statistics, 1975, 4, 967-974.
9. Deshpande, J.V. A class of tests for exponentiality against increasing failure rate average. Biometrika, 1983, 70(2), 514-518.
10. Ahmad, I.A. A class of statistics useful in testing increasing failure rate average and new better than used life distributions. J. Statist. Plant. Inf., 1994, 41, 141-149.
11. Hollander, M.; Proschan, F. Testing whether new is better than used. Ann. Math. Statist., 1972, 43, 1136-1146.
12. Koul, H.L. A new test for new is better than used. Commun. Statist. Theor. Meth., 1977, 6, 563-573.
13. Kumazawa, H.L. Testing for new is better than used. Commun. Statist. Theor. Meth., 1978, 12, 311-321.
14. Hollander, M.; Proschan, F. Tests for mean residual life. Biometrika, 1975, 62, 585-593.
15. Koul, H.L. Testing for new is better than used in expectation. Commun. Statist. Theor. Meth., 1978, 7, 685-701.
16. Kanjo, A.J. Testing for new is better than used. Commun. Statist. Theor. Meth., 1993, 12, 311-321.
17. Klefsjo, B. The HNBUE and HNWUE class of life distributions. Naval Res. Logistics Quarterly, 1982, 21, 331-344.
18. Ahmad, I.A. Nonparametric testing of class of life distributions derived from a variability ordering. Parisankhyan Samikkha, 1995, 2, 13-18.
19. Ahmad, I.A.; Hendi, M.I.; Al-Nachawati, H. Testing new better than used classes of life distribution derived from a convex ordering using kernel methods. J. Nonparametric statistics, 1999, 11, 393-411.
20. Hendi, M.I.; Al-Nachawati, H.; Montasser, M.; Alwasel, I.A. An exact test for HNBUE class of life distributions. J. Statist. Computation and Simulation, 1998, 60, 261-275.
21. Abouammoh, A.M.; Ahmed, A.N.; Barry, A.M. Shock models and testing for the renewal remaining life classes. Mocroelectron & Reliability, 1993, 33, 729-740.
22. Marshall, A.W.; Proschan, F. Classes of distribution applicable in replacement, with renewal theory implications. Proceeding of the 6th Berkeley Symposium on Mathematical Statistics and Probability, 1972, I, ed. L. Lecam, J. Neyman, E.L. Scott, Univ. of California Press, Berkeley, California, 395-415.
23. Abouammoh, A.M.; Abdulghani, S.A.; Qamber, I.S. On partial orderings and testing of new better than renewal used classes. Reliability Eng. Syst. Safety, 1994, 43, 37-41.
24. Lee, A.J. U-Statistics. Marcel Dekker, 1990, New York, NY.