Mathematics and Statistics Vol. 12(1), pp. 105 - 113
DOI: 10.13189/ms.2024.120113
Reprint (PDF) (441Kb)

Mixture of Ailamujia and Size Biased Ailamujia Distributions: Estimation and Application

Bader Alruwaili ^*
Department of Mathematics, College of Science, Jouf University, Saudi Arabia

ABSTRACT

In this article, we introduce a new model entitled a mixture of the Ailamujia and size biased Ailamujia distributions. We present and discuss some statistical properties of this mixture of the Ailamujia and size biased Ailamujia distributions, such as moments, skewness, and kurtosis. We also provide some graphical results on the mixture of the Ailamujia and size biased Ailamujia distributions and provide some numerical results to understand the behavior of the proposed mixture and its properties. Also, we provide some reliability analysis results on the proposed mixture. The parameters of the Ailamujia and size biased Ailamujia distributions are estimated by using the maximum likelihood method. The usefulness of the proposed combination is illustrated by using a real-life dataset. We use the Ailamujia distribution and the size biased Ailamujia distribution, in addition to the mixture of the Ailamujia and size biased Ailamujia distributions to fit the real-life dataset. We use different criteria in this comparison; the results show that the proposed mixture fits the dataset better than the use of the Ailamujia distribution and the size biased Ailamujia distribution alone.

KEYWORDS
Ailamujia Distribution, Mixture Distributions, Maximum Likelihood Estimation

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Bader Alruwaili , "Mixture of Ailamujia and Size Biased Ailamujia Distributions: Estimation and Application," Mathematics and Statistics, Vol. 12, No. 1, pp. 105 - 113, 2024. DOI: 10.13189/ms.2024.120113.

(b). APA Format:
Bader Alruwaili (2024). Mixture of Ailamujia and Size Biased Ailamujia Distributions: Estimation and Application. Mathematics and Statistics, 12(1), 105 - 113. DOI: 10.13189/ms.2024.120113.