The Maxwell-Boltzmann-Exponential distribution with regression model
Mathematica Slovaca, cilt.74, sa.4, ss.1011-1022, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 4
- Basım Tarihi: 2024
- Doi Numarası: 10.1515/ms-2024-0074
- Dergi Adı: Mathematica Slovaca
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1011-1022
- Anahtar Kelimeler: estimation, Maxwell-Boltzmann distribution, mixture distribution, regression, residual
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
This paper proposes a new probability model called as Maxwell-Boltzmann-Exponential (MBE) distribution. The MBE distribution arises as a mixture distribution of the Maxwell-Boltzmann and exponential distributions. The statistical properties of the distributions are studied and obtained in closed-form expressions. Three methodologies are assessed and compared for the estimation of parameters in the MBE distribution. The MBE regression model is defined, with the proposed regression model being an alternative to the gamma regression model for response variables that are extremely right-skewed and bimodal. Two real data sets are used to demonstrate the applicability of the proposed models against the existing models.