Author(s):
1. M. Abdi:
Department of Statistics Higher Education Complex of Bam, Bam, Iran
2. M. Afshari:
Department of Statistics Persian Gulf University, Bushehr, Iran
3. H. Karamikabir:
Department of Statistics Persian Gulf University, Bushehr, Iran
4. M. Mozafari:
Department of Statistics Higher Education Complex of Bam, Bam, Iran
5. M. Alizadeh:
Department of Statistics Persian Gulf University, Bushehr, Iran
Abstract:
The new distributions are very useful in describing real data sets, because these distributions are more flexible to model real data that present a high degree of skewness and kurtosis. The choice of the best-suited statistical distribution for modeling data is very important. In this paper, A new class of distributions called the New odd log-logistic generalized half-normal (NOLL-GHN) family with four parameters is introduced and studied. This model contains sub-models such as half-normal (HN), generalized half-normal (GHN )and odd log-logistic generalized half-normal (OLL-GHN) distributions. some statistical properties such as moments and moment generating function have been calculated. The Biases and MSE's of estimator methods such as maximum likelihood estimators , least squares estimators, weighted least squares estimators, Cramer-von-Mises estimators, Anderson-Darling estimators and right tailed Anderson-Darling estimators are calculated. The fitness capability of this model has been investigated by fitting this model and others based on real data sets. The maximum likelihood estimators are assessed with simulated real data from proposed model. We present the simulation in order to test validity of maximum likelihood estimators.
Page(s):
277-302
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 15, Issue: 2, Year: 2019
Keywords:
Moments
,
Mean square error
,
Generalized halfnormal distribution
,
estimator
,
Odd loglogistic generalized family
References:
References are not available for this document.
Citations
Citations are not available for this document.