ESTIMATION OF THE LOCATION AND THE SCALE PARAMETERS OF BURR TYPE XII DISTRIBUTION

被引：3
作者：
Akgul, Fatma Gul [1 ]
Acitas, Sukru [2 ]
Senoglu, Birdal [3 ]
机构：
[1] Artvin Coruh Univ, Dept Comp Engn, Artvin, Turkey
[2] Eskisehir Tech Univ, Dept Stat, Eskisehir, Turkey
[3] Ankara Univ, Dept Stat, Ankara, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期
关键词：
Burr XII distribution; maximum likelihood; modified maximum likelihood; least squares; method of moments; efficiency; ROBUST ESTIMATION; REGRESSION-MODEL; CONTROL CHARTS; WEIBULL; ALGORITHM; SYSTEM;
D O I：
10.31801/cfsuasmas.501455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to estimate the location and the scale parameters of Burr Type XII distribution. For this purpose, different estimation methods, namely, maximum likelihood (ML), modified maximum likelihood (MML), least squares (LS) and method of moments (MM) are used. The performances of these estimation methods are compared via Monte-Carlo simulation study under different sample sizes and parameter settings. At the end of the study, the wind speed data set and the annual flow data sets are analyzed for illustration of the modeling performance of Burr Type XII distribution.
引用
收藏
页码：1030 / 1044
页数：15
相关论文
共 43 条
[1]   A neural network applied to estimate Burr XII distribution parameters [J].
Abbasi, B. ;
Hosseinifard, S. Z. ;
Coit, D. W. .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2010, 95 (06) :647-654
[2]  
Abd-Elfattah A.M., 2008, Statistical Methodology, V5, P502, DOI [DOI 10.1016/J.STAMET.2007.12.001, 10.1016/j.stamet.2007.12.001]
[3]   The estimation of the Burr-XII parameters with middle-censored data [J].
Abuzaid, Ali H. .
SPRINGERPLUS, 2015, 4
[4]   One-step M-estimators: Jones and Faddy's skewed t-distribution [J].
Acitas, Sukru ;
Kasap, Pelin ;
Senoglu, Birdal ;
Arslan, Olcay .
JOURNAL OF APPLIED STATISTICS, 2013, 40 (07) :1545-1560
[5]   The four-parameter Burr XII distribution: Properties, regression model, and applications [J].
Afify, Ahmed Z. ;
Cordeiro, Gauss M. ;
Ortega, Edwin M. M. ;
Yousof, Haitham M. ;
Butt, Nadeem Shafique .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (11) :2605-2624
[6]  
Akgul F. G, ISTKON8
[7]   An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution [J].
Akgul, Fatma Gul ;
Senoglu, Birdal ;
Arslan, Talha .
ENERGY CONVERSION AND MANAGEMENT, 2016, 114 :234-240
[8]  
[Anonymous], 2011, RENEW ENERGY, DOI DOI 10.1016/j.renene.2010.09.009
[9]   Generalized Lindley and Power Lindley distributions for modeling the wind speed data [J].
Arslan, Talha ;
Acitas, Sukru ;
Senoglu, Birdal .
ENERGY CONVERSION AND MANAGEMENT, 2017, 152 :300-311
[10]   Robust estimation of the location and the scale parameters of shifted Gompertz distribution [J].
Aydin, Demet ;
Akgul, Fatma Gul ;
Senoglu, Birdal .
ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS, 2018, 11 (01) :92-107
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