The Generalized Alpha Exponent Power Family of Distributions: Properties and Applications

Here, a new method is recommended to characterize a new continuous distribution class, named the generalized alpha exponent power family of distributions (GAEPFDs). A particular sub-model is presented for exemplifying the objective. The basic statistical properties, such as ordinary moments, the pro...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2022, Vol.10 (9), p.1421
Main Authors: Hussain, Sajid, Rashid, Muhammad Sajid, Ul Hassan, Mahmood, Ahmed, Rashid
Format: Article
Language:English
Subjects:
Entropy
G-family
Hydrology
maximum likelihood estimation
moments
Monte Carlo simulation
power Rayleigh distribution
Random variables
Statistical analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Here, a new method is recommended to characterize a new continuous distribution class, named the generalized alpha exponent power family of distributions (GAEPFDs). A particular sub-model is presented for exemplifying the objective. The basic statistical properties, such as ordinary moments, the probability weighted moments, mode, quantile, order statistics, entropy measures, and moment generating functions, etc., were explored. To gauge the GAEPPRD parameters, the ML technique was utilized. The estimator behaviour was studied by a Monte Carlo simulation study (MCSS). The effectiveness of GAEPFDs was demonstrated observationally through lifetime data. The applications show that GAEPFDs can offer preferable results over other competitive models.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10091421