Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications

SENOGLU, BIRDAL; ACITAS, SUKRU; Arslan, Talha

doi:10.35378/gujs.539929

Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications

Sukru ACITAS, (Eskişehir Teknik Üniversitesi, İstatistik Bölümü, Eskişehir, Türkiye)

Talha ARSLAN, (Van Yüzüncü Yıl Üniversitesi, Ekonometri Bölümü, Van, Türkiye)

Birdal SENOGLU (Ankara Üniversitesi, İstatistik Bölümü, Ankara, Türkiye)

Gazi University Journal of Science

5 0

Yıl: 2020 Cilt: 33 Sayı: 1 Sayfa Aralığı: 249 - 263 Metin Dili: İngilizce DOI: 10.35378/gujs.539929 İndeks Tarihi: 12-10-2020

Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications

Öz:

In this study slash Maxwell (SM) distribution, defined as a ratio of a Maxwell random variate to a power of an independent uniform random variate, is introduced. Its stochastic representation and some distributional properties such as moments, skewness and kurtosis measures are provided. The maximum likelihood (ML) method is used for estimating the unknown parameters. However, closed forms of the ML estimators cannot be obtained since the likelihood equations include nonlinear functions of the unknown parameters. We therefore use Tiku's (1967,1968) modified maximum likelihood (MML) methodology which allows to obtain explicit forms of the estimators. Some asymptotic properties of the MML estimators are derived. A Monte-Carlo simulation study is also carried out to compare the performances of the ML and MML estimators. Two data sets taken from the literature are modelled using the SM distribution in application part of the study.

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APA	ACITAS S, Arslan T, SENOGLU B (2020). Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. , 249 - 263. 10.35378/gujs.539929
Chicago	ACITAS SUKRU,Arslan Talha,SENOGLU BIRDAL Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. (2020): 249 - 263. 10.35378/gujs.539929
MLA	ACITAS SUKRU,Arslan Talha,SENOGLU BIRDAL Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. , 2020, ss.249 - 263. 10.35378/gujs.539929
AMA	ACITAS S,Arslan T,SENOGLU B Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. . 2020; 249 - 263. 10.35378/gujs.539929
Vancouver	ACITAS S,Arslan T,SENOGLU B Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. . 2020; 249 - 263. 10.35378/gujs.539929
IEEE	ACITAS S,Arslan T,SENOGLU B "Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications." , ss.249 - 263, 2020. 10.35378/gujs.539929
ISNAD	ACITAS, SUKRU vd. "Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications". (2020), 249-263. https://doi.org/10.35378/gujs.539929

APA	ACITAS S, Arslan T, SENOGLU B (2020). Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. Gazi University Journal of Science, 33(1), 249 - 263. 10.35378/gujs.539929
Chicago	ACITAS SUKRU,Arslan Talha,SENOGLU BIRDAL Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. Gazi University Journal of Science 33, no.1 (2020): 249 - 263. 10.35378/gujs.539929
MLA	ACITAS SUKRU,Arslan Talha,SENOGLU BIRDAL Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. Gazi University Journal of Science, vol.33, no.1, 2020, ss.249 - 263. 10.35378/gujs.539929
AMA	ACITAS S,Arslan T,SENOGLU B Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. Gazi University Journal of Science. 2020; 33(1): 249 - 263. 10.35378/gujs.539929
Vancouver	ACITAS S,Arslan T,SENOGLU B Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications. Gazi University Journal of Science. 2020; 33(1): 249 - 263. 10.35378/gujs.539929
IEEE	ACITAS S,Arslan T,SENOGLU B "Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications." Gazi University Journal of Science, 33, ss.249 - 263, 2020. 10.35378/gujs.539929
ISNAD	ACITAS, SUKRU vd. "Slash Maxwell Distribution: Definition, Modified Maximum Likelihood Estimation and Applications". Gazi University Journal of Science 33/1 (2020), 249-263. https://doi.org/10.35378/gujs.539929