Generalized Order Statistics from Generalized Exponential Distributions in Explicit Forms

Show more

References

[1] U. Kamps, “Characterizations of the Exponential Distribution by Weighted Sums of Iid Random Variables,” Statistical Papers, Vol. 31, No. 1, 1990, pp. 233-237.
doi:10.1007/BF02924695

[2] P. Jodrá, “A Closed-Form Expression for the Quantile Function of the Gompertz-Makeham Distribution,” Mathematics and Computers in Simulation, Vol. 79, No. 10, 2009, pp. 3069-3075. doi:10.1016/j.matcom.2009.02.002

[3] D. Kunimura, “The Gompertz Distribution-Estimation of Parameters,” Actuarial Research Clearing House, Vol. 2, 1998, pp. 65-76.

[4] F. M. Bass, “A New Product Growth Model for Consumer Durables,” Management Science, Vol. 15, No. 5, 1969, pp. 215-227. doi:10.1287/mnsc.15.5.215

[5] J. Pollard and E. Valkovics, “The Gompertz Distribution and Its Applications,” Genus, Vol. 48, No. 34, 1992, pp. 15-29.

[6] A. Lenart, “The Gompertz Distribution and Maximum Likelihood Estimation of Its Parameter—A Revision,” Max Planck Institute for Demographic Research, Rostock, 2012.

[7] R. U. Khan and D. Kumar, “On Moments of Lower Generalized Order Statistics from Exponintial Pareto Distribution and Its Characterization,” Applied Mathematical Sciences, Vol. 4, No. 55, 2010, pp. 2711-2722.

[8] U. Kamps and U. Gather, “Characteristic Properties of Generalized Order Statistics from Exponential Distributions,” Applicationes Mathematicae, Vol. 24, No. 4, 1997, pp. 383-391.

[9] U. Kamps, “A Concept of Generalized Order Statistics,” Elsevier Journal of Statistical Planning and Inference, Vol. 48, No. 1, 1995, pp. 1-23.

[10] U. Kamps, “Subranges of Generalized Order Statistics from Exponential Distributions,” Fasciculi Mathematici, Vol. 28, 1998, pp. 63-70.

[11] M. Ragab, “Generalized Exponential Distribution: Moments of Order Statistics,” Journal of Theoretical and Applied Statistics, Vol. 38, No. 1, 2004, pp. 29-41.

[12] R. D. Gupta and D. Kundu, “Generalized Exponential Distributions,” Australian and New Zealand Journal of Statistics, Vol. 41, No. 2, 1999, pp. 173-188.
doi:10.1111/1467-842X.00072

[13] G. Qiu and J. Wang, “Some Comparison between Generalized Order Statistics,” Applied Mathematics—A Journal of Chinese Universities Series B, Vol. 22, No. 3, 2007, pp. 325-333.
doi:10.1007/s11766-007-0310-6

[14] M. Garg, “On Generalized Order Statistics from Kumara-swamy Distribution,” Tamsui Oxford Journal of Mathematical Sciences, Vol. 25, No. 2, 2009, pp. 153-166.

[15] P. Samuel, “Characterization of Distributions by Conditional Expectation of Generalized Order Statistics,” Statistical Papers, Vol. 49, No. 1, 2008, pp. 101-108.
doi:10.1007/s00362-006-0364-1