Inferences under a Class of Finite Mixture Distributions Based on Generalized Order Statistics

Show more

References

[1] A. S. Papadapoulos and W. J. Padgett, “On Bayes Estimation for Mixtures of Two Exponential-Life-Distributions from Right-Censored Samples,” IEEE Transactions on Reliability, Vol. 35, No. 1, 1986, pp. 102-105.
doi:10.1109/TR.1986.4335364

[2] E. K. AL-Hussaini, G. R. Al-Dayian and S. A. Adham, “On Finite Mixture of Two-Component Gompertz Lifetime Model,” Journal of Statistical Computation and Simulation, Vol. 67, No. 1, 2000, pp. 1-20.

[3] E. K. AL-Hussaini and S. F. Ateya, “Bayes Estimations under a Mixture of Truncated Type I Generalized Logistic Components Model,” Journal of Applied Statistical Science, Vol. 4 No. 2, 2005, pp. 183-208.

[4] Z. F. Jaheen, “On Record Statistics from a Mixture of Two Exponential Distributions,” Journal of Statistical Computation and Simulation, Vol. 75, No. 1, 2005, pp. 111. doi:10.1080/00949650410001646924

[5] E. K. AL-Hussaini and R. A. AL-Jarallah, “Bayes Inference under a Finite Mixture of Two Compound Gompertz Components Model,” Cairo University, 2006.

[6] K. S. Sultan, M. A. Ismail and A. S. Al-Moisheer, “Mixture of Two Inverse Weibull Distributions: Properties and Estimation,” Computational Statistics & Data Analysis, Vol. 51, No. 11, 2007, pp. 5377-5387.
doi:10.1016/j.csda.2006.09.016

[7] U. Kamps, “A Concept of Generalized Order Statistics,” Journal of Statistical Planning and Inference, Vol. 48, No. 1, 1995, pp. 1-23. doi:10.1016/0378-3758(94)00147-N

[8] M. Ahsanullah, “Generalized Order Statistics from Two Parameter Uniform Distribution,” Communications in Statistics—Theory and Methods, Vol. 25, No. 10, 1996, pp. 2311-2318. doi:10.1080/03610929608831840

[9] U. Kamps and U. Gather, “Characteristic Property of Generalized Order Statistics for Exponential Distributions,” Applied Mathematics (Warsaw), Vol. 24, No. 4, 1997, pp. 383-391.

[10] E. Cramer and U. Kamps, “Relations for Expectations of Functions of Generalized Order Statistics,” Journal of Statistical Planning and Inference, Vol. 89, No. 1-2, 2000, pp. 79-89. doi:10.1016/S0378-3758(00)00074-4

[11] M. Habibullah and M. Ahsanullah, “Estimation of Parameters of a Pareto Distribution by Generalized Order Statistics,” Communications in Statistics—Theory and Methods, Vol. 29, No. 7, 2000, pp. 1597-1609.
doi:10.1080/03610920008832567

[12] E. K. AL-Hussaini and A. A. Ahmad, “On Bayesian Predictive Distributions of Generalized Order Statistics,” Metrika, Vol. 57, No. 2, 2003, pp. 165-176.
doi:10.1007/s001840200207

[13] E. K. AL-Hussaini, “Generalized Order Statistics: Prospective and Applications,” Journal of Applied Statistical Science, Vol. 13, No. 1, 2004, pp. 59-85.

[14] Z. F. Jaheen, “On Bayesian Prediction of Generalized Order Statistics,” Journal of Applied Statistical Science, Vol. 1, No. 3, 2002, pp.191-204.

[15] Z. F. Jaheen, “Estimation Based on Generalized Order Statistics from the Burr Model,” Communications in Statistics—Theory and Methods, Vol. 34, No. 4, 2005, pp. 785-794. doi:10.1081/STA-200054408

[16] A. A. Ahmad, “Relations for Single and Product Moments of Generalized Order Statistics from Doubly Truncated Burr Type XII Distribution,” Journal of the Egyptian Mathematical Society, Vol. 15, No. , 2007, pp. 117128.

[17] A. A. Ahmad, “Single and product Moments of Generalized order Statistics from Linear Exponential Distribution,” Communications in Statistics—Theory and Methods, Vol. 37, No. 8, 2008, pp. 11621172.
doi:10.1080/03610920701713344

[18] S. F. Ateya and A. A. Ahmad, “Inferences Based on Generalized Order Statistics under Truncated Type I generalized Logistic Distribution,” Statistics, Vol. 45, No. 4, 2011, pp. 389-402. doi:10.1080/02331881003650149

[19] T. A. Abu-Shal and A. M. AL-Zaydi, “Estimation Based on Generalized Order Statistics from a Mixture of Two Rayleigh Distributions,” International Journal of Statistics and Probability, Vol. 1, No. 2, 2012, pp. 79-90.

[20] T. A. Abu-Shal and A. M. AL-Zaydi, “Prediction Based on Generalized Order Statistics from a Mixture of Rayleigh Distributions Using MCMC Algorithm,” Open Journal of Statistics, Vol. 2, No. 3, 2012, pp. 356-367.
doi:10.4236/ojs.2012.23044

[21] B. S. Everitt and D. J. Hand, “Finite Mixture Distributions,” University Press, Cambridge, 1981.
doi:10.1007/978-94-009-5897-5

[22] D. M. Titterington, A. F. M. Smith and U. E. Makov, “Statistical Analysis of Finite Mixture Distributions,” John Wiley and Sons, New York, 1985.

[23] G. J. McLachlan and K. E. Basford, “Mixture Models: Inferences and Applications to Clustering,” Marcel Dekker, New York, 1988.

[24] H. Teicher, “Identifiability of Finite Mixtures,” The Annals of Mathematical Statistics, Vol. 34, No. 4, 1963, pp. 1265-1269. doi:10.1214/aoms/1177703862

[25] E. K. AL-Hussaini and K. E. Ahmad, “On the Identifiability of Finite Mixtures of Distributions,” Transactions on Information Theory, Vol. 27, No. 5, 1981, pp. 664668.

[26] K. E. Ahmad, “Identifiability of Finite Mixtures Using a New Transform,” The Annals of Mathematical Statistics, Vol. 40, No. 2, 1988, pp. 261-265.
doi:10.1007/BF00052342

[27] A. A. Ahmad, “On Bayesian Interval Prediction of Future Generalized Order Statistics Using Doubly Censoring,” Statistics, Vol. 45, No. 5, 2011, pp. 413425.
doi:10.1080/02331881003650123

[28] U. Kamps, “A Concept of Generalized Order Statistics,” Journal of Statistical Planning and Inference, Vol. 48, No. 1, 1995, pp. 1-23. doi:10.1016/0378-3758(94)00147-N

[29] E. K. AL-Hussaini, “Prediction, Observables from a General Class of Distributions,” Journal of Statistical Planning and Inference, Vol. 79, No. 1, 1999, pp. 79-91.
doi:10.1016/S0378-3758(98)00228-6

[30] S. J. Press, “Subjective and Objective Bayesian Statistics: Principles, Models and Applications,” Wiley, New York, 2003.