Inverse power Ramos–Louzada distribution with various classical estimation methods and modeling to engineering data
Source abstract
Abstract
This work uses the inverse-power transformation to create the inverse power Ramos–Louzada distribution (IPRLD), a novel two-parameter version of the Ramos–Louzada distribution. The failure rate of the new distribution can be represented by a reverse bathtub shape, a rising shape, or a decreasing shape, making it appropriate for a range of real data. Asymmetrical and unimodal densities can be produced via the IPRLD. Its mathematical characteristics are computed in some cases. The novel proposed model’s structural characteristics are derived. To estimate the model parameters, several estimating strategies are explored, including ten classical methods. Simulation results with their partial and total ranks are used to evaluate the ranking and behavior of various approaches. Finally, two real-world datasets are used to experimentally show the suggested distribution’s adaptability. The analysis of the data reveals that the introduced distribution offers a better fit than some significant rival distributions, including the inverse Ramos–Louzada, inverse power Burr Hatke, inverse Nakagami-M, inverse log-logistic, inverse weighted Lindley, inverse Lindley, and Ramos–Louzada.
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Research context
OpenAlex topics: Statistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Reliability and Maintenance Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University 1 , P.O. Box 84428, Riyadh 11671, Saudi Arabia
Faculty of Graduate Studies for Statistical Research, Cairo University 2 , 5 Dr. Ahmed Zewail Street, Giza 12613, Egypt
Department of Mathematics, Faculty of Science, Jazan University 3 , Jazan, Saudi Arabia
Department of Mathematical Science, Faculty of Applied Science, Umm AL-Qura University 4 , Makkah 24382, Saudi Arabia
Department of Mathematics, Faculty of Science, Tanta University 5 , Tanta 31527, Egypt
Department of Statistics and Insurance, Faculty of Commerce, Arish University 6 , Al-Arish 45511, Egypt
Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University 7 , Beni-Suef 62521, Egypt
8 Department of Basic Sciences, Higher Institute of Administrative Sciences, Belbeis, AlSharkia, Egypt
Funding
Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University
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