MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS

Authors

  • Hauwau Yusuf
  • Abubakar Usman
  • Abukakar Yahaya
  • Ibrahim Abubakar Sadiq
  • Olalekan Akanji Bello
  • Saudat Aliyu Adamu

Keywords:

Kumaraswamy distribution, Inverted Kumaraswamy distribution, Quantile function, Reliability function, Maximum likelihood, Order Statistics

Abstract

In the area of distribution theory, statisticians have proposed and developed new models for generalizing the existing ones to make them more flexible and to aid their application in a variety of fields. In this article, we present a new distribution called the Modified Inverted Kumaraswamy Distribution Using Inverse Power Function with three positive parameters, which extends the Inverted Kumaraswamy distribution with two parameters. Some statistical properties of the MIK distribution, such as explicit expressions for the quantile function, probability-weighted moments, moments, generating function, Reliability function, hazard function, and order statistics are discussed. A maximum likelihood estimation technique is employed to estimate the model parameters and the simulation study is presented. The superiority of the new distribution is illustrated with an application to a real data set. The results showed that the new distribution fits better in the real data set amongst the range of distributions considered.

Dimensions

Abd AL-FattahA. M. A. E.-H.-D. (2017). Inverted kumaraswamy Distribution: Properties & Estimation. Pakistan Journal of Statistics, 33(1), 37-61.

Abd AL-Fattah .A, E.H,M.E (2013). The Exponentiated Inverted Weibull Distribution .Applied Mathematics and Information Sciences,6 167- 171

Al-Dayian, H. A.(1999).The Burr Type III Distribution: Properties and Applications.Journal of Statistical Research, 33(2), 189-205.

Aljuaid, H. M.(2013).The Modified Burr Type III Distribution: Properties and Applications. Communications in Statistics - Theory and Methods, 42(11), 1991-2012.

EL-Kader, A. (2003). inverted perato type I, Journal of Hydrology., 182 (14):, 259275.

EL-Kader, A. (2013). inverted distribution and its application. Journal of Sciences, Islamic Republic of Iran, 26(1), 57-69.

Habu, L., Usman, A., Sadiq, I. A., & Abdullahi, U. A. (2024). Estimation of Extension of Topp-Leone Distribution using Two Different Methods: Maximum Product Spacing and Maximum Likelihood Estimate. UMYU Scientifica, 3(2), 133-138

Obafemi, A. A., Usman, A., Sadiq, I. A., & Okon, U. (2024). A New Extension of Topp-Leone Distribution (NETD) Using Generalized Logarithmic Function. UMYU Scientifica, 3(4), 127-133.

Sadiq, I. A., Doguwa, S. I. S., Yahaya, A., & Garba, J. (2023c). New Generalized Odd Frchet-Odd Exponential-G Family of Distribution with Statistical Properties and Applications. FUDMA Journal of Sciences, 7(6), 41-51.

Sadiq, I. A., Doguwa, S. I. S., Yahaya, A., & Usman, A. (2023b). Development of New Generalized Odd Frchet-Exponentiated-G Family of Distribution. UMYU Scientifica, 2(4), 169-178.

Sadiq, I. A., Doguwa, S. I., Yahaya, A., & Garba, J. (2022). New Odd Frechet-G Family of Distribution with Statistical Properties and Applications. AFIT Journal of Science and Engineering Research, 2(2), 84-103.

Sadiq, I. A., Doguwa, S. I., Yahaya, A., & Garba, J. (2023a). New Generalized Odd Frechet-G (NGOF-G) Family of Distribution with Statistical Properties and Applications. UMYU Scientifica, 2(3), 100-107.

Usman, A. Ishaq.A.I, Tasiu M. (2023). Inverse Power log-Topp-Leone Distribution & Its Competitors For Estimating The Exchange Rate Datasets. ICDABI, 23.

Wani, S. A., & Shafi, S. Generalized Lindley-Quasi Xgamma distribution. Journal of Applied Mathematics, Statistics and Informatics, 17(1), 5-30.

Yakubu, A., & Doguwa, S. I. (2017). On the properties of the Weibull-burr III distribution and its application to uncensored and censored survival data. CBN Journal of Applied Statistics, 8(2), 91-116.

Published

31-01-2025

How to Cite

MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 234-239. https://doi.org/10.33003/fjs-2025-0901-3177

Issue

Vol. 9 No. 1 (2025): FUDMA Journal of Sciences - Vol. 9 No. 1

Section

Research Articles
Copyright & Licensing

How to Cite

MODIFIED INVERTED KUMARASWAMY DISTRIBUTION USING INVERSE POWER FUNCTION: PROPERTIES AND APPLICATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 234-239. https://doi.org/10.33003/fjs-2025-0901-3177

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