Novel sin-G class of distributions with an illustration of Lomax distribution: Properties and data analysis
Source abstract
Abstract
In this research, we establish the novel sin-G class, an innovative and comprehensive class of trigonometric distributions centered on the sine function. A sin-G class analytical approach comprises calculations for the probability density function and reliability indicators. Various estimation methods were presented to estimate the specified model parameters. Applying randomly created datasets and the provided estimating techniques, the behavior of these variables was investigated. Then, the focus is directed toward a specific member of this class, the novel sin-Lomax distribution, which is established with the Lomax distribution serving as the baseline. Exploring the innovative sin-Lomax distribution’s inferential characteristics, the constructed distribution is then fitted to real datasets, demonstrating the actual application of the Sin-G class.
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Research context
OpenAlex topics: Statistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Financial Risk and Volatility Modeling
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Affiliations
Department of Mathematics, Bhagwant University 1 , Ajmer 305004, India
Symbiosis Statistical Institute, Symbiosis International, Deemed University 2 , Pune 411 004, India
Department of Mathematics, Faculty of Science, Tanta University 3 , Tanta 31527, Egypt
Department of Statistics and Operations Research, College of Science, King Saud University 4 , P.O. Box 2455, Riyadh 11451, Saudi Arabia
Department of Statistics, Tribhuvan University, Tribhuvan Multiple Campus 5 , Palpa, Nepal
DICA, Politecnico di Milano 6 , Piazza Leonardo da Vinci 32, 20131 Milan (MI), Italy
Funding
King Saud University
References (26)
Show source-provided references
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26. 2012