1. Inverse power Maxwell distribution: statistical properties, estimation and application
- Author
-
M. E. Abd El-Monsef and H. S. Al-Kzzaz
- Subjects
Statistics and Probability ,021103 operations research ,Distribution (number theory) ,0211 other engineering and technologies ,Inverse ,02 engineering and technology ,Articles ,Physics::Classical Physics ,01 natural sciences ,Maxwell–Boltzmann distribution ,Stochastic ordering ,Power (physics) ,010104 statistics & probability ,symbols.namesake ,Goodness of fit ,symbols ,Applied mathematics ,Probability distribution ,Entropy (information theory) ,0101 mathematics ,Statistics, Probability and Uncertainty ,Computer Science::Databases ,Mathematics - Abstract
In this paper, we introduced a new probability distribution named as inverse power Maxwell distribution. The proposal distribution can be seen as an extension of the Maxwell distribution with more flexibility in modeling upside-down lifetime data. Some statistical properties of this distribution are derived. In estimation viewpoint, five methods are used for estimating the unknown parameters of the distribution and these methods are performed through the simulation study. Finally, two real data sets were analyzed to illustrate the applicability of the proposed distribution, proving that it fits each real data set much better than some other existing distributions.
- Published
- 2022