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journal article·2024-03-01Open access

A new flexible distribution: Statistical inference with application

Muhammad Ahsan-ul-Haq, Muhammad Umar Farooq, M. Nagy, A. H. Mansi, Alexis Habineza, Waleed Marzouk

AIP Advances· Volume 14· Issue 3
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Source abstract

Abstract

A flexible distribution for the analysis of bounded data is proposed. The new model is generalized through the transmuted approach, and the resultant model is named “transmuted modified Lehmann-type II distribution.” A comprehensive analysis of key characteristics is performed, including the shape of the model, survival, and hazard function, analytical expressions of mode, quantile function, ordinary moments, quantile function, and stress–strength reliability. Some famous entropy measures are also derived. The model parameters have been estimated using four distinct methods, including maximum likelihood estimation, Anderson Darling, Cramer–von Misses, and ordinary least squares. A detailed simulation study is used to evaluate the behavior of all derived estimators. Finally, a dataset was used to demonstrate the utility of the proposed distribution.
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Research context

OpenAlex topics: Statistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Hydrology and Drought Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Statistical Sciences, University of the Punjab 1 , Lahore, Pakistan

School of Statistics, Minhaj University 2 , Lahore, Pakistan

Department of Statistics and Operations Research, College of Science, King Saud University 3 , P.O. Box 2455, Riyadh 11451, Saudi Arabia

DICA, Politecnico di Milano 4 , Piazza Leonardo da Vinci 32, 20131 Milan (MI), Italy

Department of Sciences, Kibogora Polytechnic University 5 , Nyamasheke, Rwanda

Faculty of Graduate Studies for Statistical Research, Department of Mathematical Statistics, Cairo University 6 , Giza 12613, Egypt

Funding

King Saud University

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