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A NEW WEIGHTED AILAMUJIA DISTRIBUTION WITH ITS PROPERTIES
Keywords:
Ailamujia distribution, new weighted Ailamujia distribution, maximum likelihood estimation.DOI:
https://doi.org/10.17654/0972361723057Abstract
This paper introduces a novel generalization of the Ailamujia distribution. We introduce a skewness parameter to the Ailamujia distribution and rename it the new weighted Ailamujia distribution. We introduce some statistical properties of the new weighted Ailamujia distribution and present some important results on the effect of the skewness parameter on the density of distribution. We estimate the parameters of the new weighted Ailamujia distribution by using the maximum likelihood technique and apply the proposed distribution to model a real dataset.
Received: July 1, 2023
Revised: August 30, 2023
Accepted: September 15, 2023
References
Ahmad Aijaz, Afaq Ahmad and Rajnee Tripathi, Inverse analogue of Ailamujia distribution with statistical properties and applications, Asian Research Journal of Mathematics 16(9) (2020), 36-46.
Adelchi Azzalini, A class of distributions which includes the normal ones, Scandinavian Journal of Statistics (1985), 171-178.
Rameshwar D. Gupta and Debasis Kundu, A new class of weighted exponential distributions, Statistics 43(6) (2009), 621-634.
Farrukh Jamal, Christophe Chesneau, Khaoula Aidi and Aqib Ali, Theory and application of the power Ailamujia distribution, Journal of Mathematical Modeling 9(3) (2021), 391-413.
Uzma Jan, Kawsar Fatima and S. P. Ahmad, On weighted Ailamujia distribution and its applications to lifetime data, Journal of Statistics Applications and Probability 6(3) (2017), 619-633.
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 (2019), 1.
L. P. Li, Minimax estimation of the parameter of distribution under different loss functions, Science Journal of Applied Mathematics and Statistics 4(5) (2016), 229-235.
B. Long, Bayesian estimation of parameter on Erlang distribution under different prior distribution, Math. Practice Theory 4 (2015), 186-192.
H. Q. Lv, L. H. Gao and C. L. Chen, Erlang distribution and its application in supportability data analysis, Journal of Academy of Armored Force Engineering 16(3) (2002), 48-52.
G. T. Pan, B. H. Wang, C. L. Chen, Y. B. Huang and M. T. Dang, The research of interval estimation and hypothetical test of small sample of Erlang distribution, Application of Statistics and Management 28(3) (2009), 468-472.
A. A. Rather, C. Subramanian, S. Shafi, K. A. Malik, P. J. Ahmad, B. A. Para and T. R. Jan, A new size biased distribution with applications in engineering and medical science, International Journal of Scientific Research in Mathematical and Statistical Sciences 5(4) (2018), 75-85.
Maria Dolores Ugarte, Ana F. Militino and Alan T. Arnholt, Probability and Statistics with R, CRC Press, 2008.
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