2Ailamujia Distribution for Sum Two Independent Random Variables
Abstract
تُقدّم هذه الدراسة متغيرين عشوائيين أساسيين مُشتقّين من توزيع أيلاموجيا. ووفقًا لتوزيع أيلاموجيا، فهو مجموع متغيرين مستقلين لهما نفس المُعامل (2Ailamujia). وقد قدّمنا بعض الخصائص الإحصائية، بما في ذلك الدوال المميزة، والعزوم، والعزوم غير المكتملة. قُدّرت مُعاملة توزيع 2Ailamujia باستخدام طريقة الاحتمالية القصوى. وتُفحص فعالية مُقارنات الحد الأقصى من خلال محاكاة مونت كارلو.
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References
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[10] G.T. Pan, B.H. Wang, C.L. Chen, Y.B. Huang, M.T. Dang, The research of interval estimation and hypothetical test of small sample of 3 Ailamujia Distribution, Appl. Statist. Manag. 28 (2009) 468-472.
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[13] L. Li, Minimax estimation of the parameter of Ailamujia Distribution under different loss functions, Sci. J. Appl. Math. Stat. 4 (2005) 229-235.
[14] M. Amer, Yasser, H. Abdel Hady, and M. Shalabi, “On a Sum and Difference of Two Quasi Lindley Distributions: Theory and Applications”, American Journal of Applied Mathematics and Statistics, 2021, Vol. 9, No. 1, 12-23.
[15] M. E. Mead, A. Z. Afify, G.G. Hamedani & I. Ghosh, The Beta Exponential Frechet Distribution with Applications: Properties and Applications. Austrian Journal of Statistics.46, 41-63(2017).
[16] R. Shanker, F. Hagos & K. K. Shukla, On Weighted Lindley Distribution and its Applications to Model Lifetime Data. Jacobs Journal of Biostatistics. 1(1), 002 (2016).
[2] G. T. Pan, B. H. Wang, C. L. Chen, Y. B. Huang & M. T. Dang, The research of interval estimation and hypothetical test of small sample of Эрланга Distribution. Application of Statistics and Management, 28(3), 468-472(2009).
[3] Idzhar A. Lakibul, A Novel Three - Parameter Version of the Ailamujia Distribution, RT&A, 3(74), 18 , 288-298, September 2023.
[4] B. Jayakumar and R. Elangovan, A New Generalization of Ailamujia Distribution with Applications in Bladder Cancer Data, International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(1), 61-68, February (2019).
[5] Bader Alruwaili, A NEW WEIGHTED AILAMUJIA DISTRIBUTION WITH ITS PROPERTIES, Advances and Applications in Statistics, 89(2), 189-201, (2023).
[6] Farrukh Jamal , Christophe Chesneau , Khaoula Aidi and Aqib Ali, Theory and application of the power Ailamujia Distribution, Journal of Mathematical Modeling, 9(3), 391-413, (2021).
[7] S. Qurat Ul Ain , Ahmad Aijaz and Rajnee Tripathi, A NEW TWO PARAMETER AILAMUJIA DISTRIBUTION WITH APPLICATIONS IN BIO-MEDICINE, Journal of Xi'an University of Architecture & Technology, XII(XI), 592-604, December (2020).
[8] Ahmad Aijaz1, Afaq Ahmad and Rajnee Tripathi, Inverse Analogue of Ailamujia Distribution with Statistical Properties and Applications, Asian Research Journal of Mathematics, 16(9): 36-46, 2020.
[9] Adetunji Ademola A., Transmuted Ailamujia Distribution with Applications to Lifetime Observations, Asian Journal of Probability and Statistics, 21(1), 1-11, (2023).
[10] G.T. Pan, B.H. Wang, C.L. Chen, Y.B. Huang, M.T. Dang, The research of interval estimation and hypothetical test of small sample of 3 Ailamujia Distribution, Appl. Statist. Manag. 28 (2009) 468-472.
[11] C.M. Yu, Y.H. Chi, Z.W. Zhao, J.F. Song, Maintenance-decision-oriented modeling and emulating of battlefield injury in campaign macrocosm, J. Syst. Sim. 20 (2008) 5669-5671.
[12] B. Long, Bayesian estimation of parameter on Ailamujia Distribution under different prior, Math. Practice Theory 4 (2015) 186-192.
[13] L. Li, Minimax estimation of the parameter of Ailamujia Distribution under different loss functions, Sci. J. Appl. Math. Stat. 4 (2005) 229-235.
[14] M. Amer, Yasser, H. Abdel Hady, and M. Shalabi, “On a Sum and Difference of Two Quasi Lindley Distributions: Theory and Applications”, American Journal of Applied Mathematics and Statistics, 2021, Vol. 9, No. 1, 12-23.
[15] M. E. Mead, A. Z. Afify, G.G. Hamedani & I. Ghosh, The Beta Exponential Frechet Distribution with Applications: Properties and Applications. Austrian Journal of Statistics.46, 41-63(2017).
[16] R. Shanker, F. Hagos & K. K. Shukla, On Weighted Lindley Distribution and its Applications to Model Lifetime Data. Jacobs Journal of Biostatistics. 1(1), 002 (2016).
Published
2025-09-18
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