References

TESTING EXPONENTIALITY AGAINST CLASS OF LIFE DISTRIBUTION


[1] A. M. Abouammoh, R. Ahmad and A. Khalique, On new renewal better than used classes of life distributions, Statist. Prob. Letters 48 (2000), 189-194.

[2] A. M. Abouammoh and A. Khalique, On tests of new renewal better than used classes of life distributions, Parisankhyan Samikkha 5 (1998), 21-32.

[3] A. M. Abouammoh, S. A. Abdulghani and I. S. Qamber, On partial orderings and testing of new better than renewal used classes, Reliability Eng. Syst. Safety 43 (1994), 37-41.

[4] A. A. Abdel-Aziz, On testing exponentiality against RNBRUE alternatives, Applied Mathematical Sciences 1(35) (2007), 1725-1736.

[5] S. E. Abu-Youssef, Amoment inequality on new renewal better than used in expectation class of life distributions with hypothesis testing application, International Journal of Reliability and Applications 4 (2003), 191-199.

[6] S. E. Abu-Youssef, Moment inequality on new renewal better than used class of life distributions with hypothesis testing application, Applied Mathematics and Computation 149 (2004), 651-659.

[7] R. E. Barlow and F. Proschan, Statistical theory of reliability and life testing, To begin with, Sliver Spring, MD. 13, (1981).

[8] M. C. Bhattacharjee, A. M. Abouammoh, A. N. Ahmed and A. M. Barry, Preservation results for life distributions based on comparisons with asymptotic remaining life under replacements, J. Appl. Probab. 37 (2000), 999-1009.

[9] J. V. Deshpande, S. C. Kochar and H. Singh, Aspects of positive ageing, J. Appl. Probab. 23 (1986), 748-758.

[10] L. S. Diab, M. A. W. Mahmoud and S. M. EL-Arishy, A non-parametric test of new renewal better than used class of life distributions, Proceeding of International Conference on Mathematics trends and developments, Cairo (EGYPT) 4 (2002), 191-203.

[11] L. S. Diab, M. A. W. Mahmoud and S. M. EL-Arishy, Testing renewal new better than used life distributions based on U-test, Applied Mathematical Modelling 29 (2005), 784-796.

[12] L. S. Diab, Non-parametric test of class of life distributions, Journal of Statistical Theory and Applications 8(3) (2009), 253-267.

[13] L. S. Diab, A new approach to moments inequalities for NRBU and RNBU classes with hypothesis testing applications, International Journal of Basic & Applied Sciences IJBAS-IJENS 13(06) (2013), 7-13.

[14] M. Franco, J. M. Ruiz and M. C. Ruiz, On closure of the IFR(2) and NBU(2) classes, J. Appl. Probab. 38 (2001), 235-241.

[15] F. E. Grubbs, Fiducial bounds on reliability for the two parameter negative exponential distribution, Technomet. 13 (1971), 873-876.

[16] E. L. Kaplan and P. Meier, Nonparametric estimation from incomplete observation, J. Amer. Statist. Assoc. 53 (1958), 457-481.

[17] A. I. Kango, Testing for new is better than used, Communication in Statistics Theor. Method. 12 (1993), 311-321.

[18] S. Kotz and N. L. Johnson, Encyclopedia of Statistical Sciences, 3, Wiley, New York, 1983.

[19] S. C. Kocher, Testing exponentiality against monotone failure rate average, Comm. Statist. Theor. Meth. 14 (1985), 381-392.

[20] A. J. Lee, U-Statistics, Marcel Dekker, New York, 1989.

[21] X. Li, Z. Li and B. Jing, Some results about the NBUC class of life distributions, Statist. Probab. Lett. 46 (2000), 229-237.

[22] M. A. W. Mahmoud, S. M. EL-Arishy and L. S. Diab, Moment inequalities for testing new renewal better than used and renewal new better than used classes of life distributions, International Journal of Reliability and Applications 4(3) (2003), 97-123.

[23] A. Muller and D. Stoyan, Comparison Methods for Stochastic Models and Risks, Wiley and Sons, New York, NY, 2002.

[24] A. R. Mugdadi and I. A. Ahmad, Moment inequalities derived from comparing life with its equilibrium form, Journal of Statistical Planning and Inference 134 (2005), 303-317.

[25] R. J. Pavur, R. L. Edgeman and R. C. Scott, Quadratic statistics for the goodness of fit test of inverse Gaussian distribution, IEEE Trans. Reli. 41 (1992), 118-123.

[26] A. E. Pena, Goodness of fit tests with censored data, (2002).

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[27] E. J. G. Pitman, Some Basic Theory for Statistical Inference, Chapman & Hall, London, 1979.

[28] S. M. Ross, Introduction to Probability Models, 8th Edition, Academic Press, New York, NY, 2003.

[29] M. Shaked and J. G. Shanthikumar, Stochastic Orders and their Applications, Academic Press, New York, NY, 1994.

[30] V. Susarla and J. Vanryzin, Empirical bayes estimations of a survival function right censored observation, Ann. Statist. 6 (1978), 710-755.