A New Class of Life Distributions Based on Moment Inequalities
Asian Journal of Probability and Statistics,
In this paper, a new class of life distribution is named new better than renewal used in moment generating function (NBRUmgf). A new test for exponentiality versus NBRUmgf based on moment inequalities is established. Pitman's asymptotic efficiencies, powers and critical values of the new test are calculated to assess the performance of the test. The right censored data is handled also. Finally some applications are applied to the new test.
- pitman's asymptotic efficiencies
- censored data
How to Cite
Deshpande JV, Kochar SC, Singh H. Aspects of positive aging. Journal of Applied Probability. 1986;23:748-758.
Ahmad IA. Moments inequalities of aging families of distributions with hypothesis testing applications. Journal of Statistical Planning and Inference. 2001;92:121-132.
Al-Wasel AH, El-Bassiouny, Kayid M. Some results of the NBUL class of life distributions. Applied Mathematical Science. 2007;18:869-881.
Mahmoud MAW, EL-Arishy SM, Diab LS. Testing renewal new better than used life distributions based on U-test. Applied Mathematical Models. 2004;29:784 -796.
Ahmad IA, Mugdadi AR. Further moments inequalities of life distributions with hypothesis testing applications: the IFRA, NBUC, DMRL classes. Journal of Statistical Planning and Inference. 2004;120:1-12 .
Kaplan EL, Meier P. Nonparametric estimation from in- complete observation. Journal of the American Statistical Association. 1958;53:457-481.
Abouammoh AM, Abdulghani SA, Qamber IS. On partial orderings and testing of new better than renewal used classes. Reliability Engineering and System Safety. 1994;43:37-41.
Grubbs FE. Fiducial bounds on reliability for the two parameter negative exponential distribution. Technometrics. 1971;13:873-876.
Ebrahimi M, Habibullah, Sofi E. Testing exponentiality based on Kullback-Leibler information. Journal of the Royal Statistical Society. 1992;54 B:739-748.
Shapiro SS. In the exponential distribution theory methods and applications. Balakrishnan, N. and Basu, A.P. Editors, Gorddon and Breach, Amsterdam; 1995.
Lawless JF. Statistical Models & Methods for lifetime Data, John Wiley & sons, New York; 1982.
Fisher RA. The Design of Experiments. Eight edition, Oliver & Boyd, Edinburgh; 1966.
Kotz S, Johnson NL. Encyclopedia of Statistical Sciences. 3 Wiley New York; 1983.
Susarla V, Vanryzin J. Empirical bayes estimations of a survival function right censored observation. Annals of Statistics. 1978;6:710-755.
Pena AE. Goodness of fit tests with censored data; 2002. Available:http://statman Stat.sc.edu pena|ta|kspresented|talk actronel
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