A novel logarithmic approach to generate new probability distributions for data modeling in the engineering sector

• DOI: 10.1016/j.aej.2022.07.021
• Publication Date: 2022-08-06T21:29:04Z
• Authors: Yuwei Zhao; Zubair Ahmad; Amani Alrumayh; M. Yusuf; Ramy Aldallal; Assem Elshenawy; Fathy H. Riad
• Keywords: Statistics and Probability; Simulation study; Social Sciences; Set (abstract data type); Mathematical analysis; 01 natural sciences; Decision Sciences; Probability distribution; Engineering; Goodness of fit measures; Skew Distributions and Applications in Statistics; FOS: Mathematics; Fatigue Mechanics and Fracture Analysis; Logarithm; 0101 mathematics; Distribution (mathematics); Physics; Statistics; Distribution fitting; Probabilistic Design Optimization; Engineering (General). Civil engineering (General); Applied mathematics; Computer science; Statistical modeling; Programming language; Statistical methodologies; Mechanics of Materials; Physical Sciences; Uncertainty Quantification and Sensitivity Analysis; Weibull distribution; Statistical physics; TA1-2040; Statistics, Probability and Uncertainty; Estimation; Mathematics

In this paper, we introduce a new statistical methodology for updating the flexibility level of traditional distributions. The newly developed method is called, logarithmic-U family For distributions, estimation parameters via maximum likelihood discussed. Some mathematical properties distributions are also derived. By using method, an updated version Weibull model, namely, logarithmic distribution introduced. A simulation study provided. Finally, practical illustration shown by analyzing two data sets taken from engineering sector. first set represents fracture toughness Al2O3 material. Whereas, second fatigue Kelvar 373/epoxy. applications show that proposed very competent in and other related sectors.