Maximum Lq-Likelihood Estimation for the parameters of Marshall-Olkin Extended Burr XII Distribution

Şenay ÖZDEMİR; Yeşim GÜNEY; Yetkin TUAÇ; Olcay ARSLAN

doi:https://doi.org/10.31801/cfsuasmas.443579

Article Details

Maximum Lq-Likelihood Estimation for the parameters of Marshall-Olkin Extended Burr XII Distribution

Authors:

Şenay ÖZDEMİR | Yeşim GÜNEY | Yetkin TUAÇ | Olcay ARSLAN

Publisher:

Ankara University

Main Topics:

Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.17-34

Document Type:

Article

Publication Date:

1/2019

Document Language:

English

Document ID (Org No.):

2000909402

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.443579

Abstract:

 

Marshall--Olkin extended Burr XII (MOEBXII) distribution is proposed by Al-Saiari et al. (2014) to obtain a more flexible family of distributions. Some estimation methods like maximum likelihood, Bayes and M estimations are used to estimate the parameters of the MOEBXII distribution  in literature. In this paper, we propose to use Maximum Lq (MLq) estimation method to find alternative estimators for the parameters of the MOEBXII distribution. We give some simulation studies and a real data example to compare the performance of the MLq estimators with the maximum likelihood and M estimators. According to our results MLq estimation method is a good alternative to the maximum likelihood and M estimation methods in the presence of outliers.

Article Details

Maximum Lq-Likelihood Estimation for the parameters of Marshall-Olkin Extended Burr XII Distribution

Authors: Şenay ÖZDEMİR | Yeşim GÜNEY | Yetkin TUAÇ | Olcay ARSLAN

Publisher: Ankara University

Main Topics: Mathematics

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.17-34

Document Type: Article

Publication Date: 1/2019

Document Language: English

Document ID (Org No.): 2000909402

Frequency: Quarterly

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.443579

Issues

Authors:

Şenay ÖZDEMİR | Yeşim GÜNEY | Yetkin TUAÇ | Olcay ARSLAN

Publisher:

Ankara University

Main Topics:

Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.17-34

Document Type:

Article

Publication Date:

1/2019

Document Language:

English

Document ID (Org No.):

2000909402

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.443579