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- Title
The Zografos-Balakrishnan Odd Log-Logistic Generalized Half-Normal Distribution with Mathematical Properties and Simulations.
- Authors
Mozafari, Mahdieh; Afshari, Mahmoud; Alizadeh, Morad; Karamikabir, Hamid
- Abstract
In this paper, A new class of distributions called the Zografos-Balakrishnan odd log-logistic Generalized halfnormal (ZOLL-GHN) family with four parameters is introduced and studied. Useful representations and some mathematical properties of the new family include moments, quantile function, moment Generating function are investigated. The maximum likelihood equations for estimating the parameters based on real data are given. Different methods have been used to estimate its parameters such as maximum likelihood, Least squares, weighted least squares, Crammer-von-Misers, Anderson-Darling and right-tailed Anderson-Darling methods. We assesses the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study. Finally, the usefulness of the family and fitness capability of this model, are illustrated by means of two real data sets.
- Subjects
MATHEMATICAL models; FRACTIONAL calculus; MATHEMATICAL simplification; SIMULATION methods in testing; MODULI theory
- Publication
Statistics, Optimization & Information Computing, 2019, Vol 7, Issue 1, p211
- ISSN
2311-004X
- Publication type
Article
- DOI
10.19139/soic.v7i1.649