[1] | B. V. Gnedenko, YU. K. Belyayev and A. D. Solovyev, Mathematical Models of Reliability Theory, Academic Press, 1969. |
[2] | C. M. Harris, A note on testing for exponentiality. Nav. Res. Logist. Quarterly, vol. 23, pp. 169-175, 1976. |
[3] | M. H. Gail, and J. L. Gastwirth, A scale – free goodness – of – fit test for the exponential distribution based on the Gini statistic, J. Roy. Statist. Soc. B, vol. 40, pp. 350–357, 1978. |
[4] | C. C. Lin, and G. S. Mudholker, A test of exponentiality based on the bivariate F distribution, Technometrics, vol. 22, pp. 79–82, 1980. |
[5] | V. J. Deshpande, A class of tests for exponentiality against increasing failure rate average alternatives, Biometrika, vol. 70, pp. 514–518, 1983. |
[6] | D. R. Cox and D. Oakes, Analysis of survival data, Chapman and Hall, 1984. |
[7] | S. C. Kochar, Testing exponentiality against monotone failure rate average, Communications in Statistics – Theory and Methods, vol. 14, pp. 381–392, 1985. |
[8] | T. W. Epps and L. B. Pulley, A test of exponentiality vs. monotone – hazard alternatives derived from the empirical characteristic function, J. Roy. Statist. Soc. B, vol. 48, pp. 206–213, 1986. |
[9] | L. Baringhaus and H. Henze, A class of consistent tests for exponentiality based on the empirical Laplace transform, Ann. Inst. Statist. Math., vol. 43, pp. 551–664, 1991. |
[10] | L. Baringhaus and H. Henze, Tests of fit for exponentiality based on a characterization via the mean residual life function, Statist. Papers, vol. 41, pp. 225–236, 2000. |
[11] | N. Henze, A new flexible class of omnibus tests for exponentiality, Comm. Statist. – Theo. Meth., vol. 22, pp. 115–133, 1993. |
[12] | N. Henze and B. klar, Testing exponentiality against the L class of life distributions. Math. Meth. Statist., vol. 10, pp. 232–246, 2001. |
[13] | N. Henze and S. G. Meintanis, Tests of fit for exponentiality based on the empirical Laplace transform, Statistics, vol. 36, pp. 147–161, 2002a. |
[14] | N. Henze and S. G. Meintanis, Goodness – of – fit tests based on a new characterization of the exponential distribution, Comm. Statist. – Theo. Meth., vol. 31, pp. 1479–1497, 2002b. |
[15] | S. Baratpour and A. H. Habibirad, Testing goodness – of – fit for exponential distribution based on cumulative residual entropy, Comm. Statist. – Theo. Meth., vol. 41, pp. 1387–1396, 2012. |
[16] | K. Yu. Volkova and Ya. Yu. Nikitin, Exponentiality tests based on Ahsanullah’s characterization and their efficiency, Journal of Mathematical Sciences, vol. 204, No. 1, pp. 42-54, 2015. |
[17] | M. Sadeghpour, S. Baratpour and A. Habibirad, Exponentiality test based on Renyi distance between equilibrium distributions, Communications in Statistics - Simulation and Computation, 2017, DOI: 10.1080/03610918.2017.1366514. |
[18] | V. Ahrari, A. Habibirad and S. Baratpour, Exponentiality test based on alpha-divergence and gamma-divergence, Communications in Statistics - Simulation and Computation, 2018, DOI: 10.1080/03610918.2017.1406511. |
[19] | S. Xu and Y. Miao, Limit Behaviors of the Deviation Between the Sample Quantiles and the Quantile, Filomat, vol. 25 no. 2, pp. 197-206, 2011. |
[20] | M. S. Madukaife, An empirical examination of the asymptotic normality of the kth order statistic, International Journal of Statistical Distributions and Applications, vol. 4, no. 4, pp. 68-73. 2018, doi: 10.11648/j.ijsd.20180404.11. |
[21] | R. J. Serfling, Approximation Theorems of Mathematical Statistics, New York: John Wiley and Sons Inc., pp. 74-89, 1980. |
[22] | M. S. Madukaife, A new affine invariant test for multivariate normality based on beta probability plots, Journal of the Nigerian Statistical Association, vol. 29, pp. 58-70, 2017. |
[23] | M. S. Madukaife and F. C. Okafor, A powerful affine invariant test for multivariate normality based on interpoint distances of principal components, Communications in Statistics - Simulation and Computation, 47:5, 1264-1275, 2018, DOI: 10.1080/03610918.2017.1309667. |
[24] | M. S. Madukaife and F. C. Okafor, A new large sample goodness of fit test for multivariate normality based on chi squared probability plots, Communications in Statistics - Simulation and Computation, vol. 48, no. 6, 1651-1664, DOI: 10.1080/03610918.2017.1422749. |
[25] | A.W. van der Vaart, Asymptotic Statistics. New York: Cambridge University Press, pp. 304-305, 1998. |