BAYESIAN ANALYSIS FOR THE BURR TYPE XII DISTRIBUTION BASED ON RECORD VALUES

被引:0
|
作者
Nadar, Mustafa [1 ]
Papadopoulos, Alexandros [2 ]
机构
[1] Gebze Inst Technol, Dept Math, Gebze, Turkey
[2] Yeditepe Univ, Dept Math, Istanbul, Turkey
关键词
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we reviewed and extended some results that have been derived on record values from the two parameters Burr Type XII distribution. The two parameters were assumed to be random variables and Bayes estimates were derived on the basis of a linear exponential (LINEX) loss function. Estimates for future record values were derived using non Bayesian and Bayesian approaches. In the Bayesian approach we reviewed the estimators obtained by Ahmedi and Doostparast (2006) using the well known squared error loss (SEL) function and we derived estimate for the future record value under LINEX loss function. A numerical example with tables and figures illustrated the findings.
引用
收藏
页码:421 / 435
页数:15
相关论文
共 50 条
  • [41] Statistical Inferences for Lomax Distribution Based on Record Values (Bayesian and Classical)
    Nasiri, Parviz
    Hosseini, Saman
    JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2012, 11 (01) : 179 - 189
  • [42] Bayesian inference of generalized exponential distribution based on lower record values
    Sanku, D.E.Y.
    Tanujit, D.E.Y.
    Salehi, Mahdi
    Ahmadi, Jafar
    American Journal of Mathematical and Management Sciences, 2013, 32 (01) : 1 - 18
  • [43] The use of Burr type XII distribution on software reliability growth modelling
    AbdelGhaly, AA
    AlDayian, GR
    AlKashkari, FH
    MICROELECTRONICS AND RELIABILITY, 1997, 37 (02): : 305 - 313
  • [44] Reply to "on the extended Burr XII distribution"
    Shao, Quanxi
    Wong, Heung
    Xia, Jun
    Ip, Wai-Cheung
    HYDROLOGICAL SCIENCES JOURNAL-JOURNAL DES SCIENCES HYDROLOGIQUES, 2006, 51 (06): : 1204 - 1207
  • [45] Applying the Burr Type XII Distribution to Decompose Remanent Magnetization Curves
    Zhao, Xiangyu
    Fujii, Masakazu
    Suganuma, Yusuke
    Zhao, Xiang
    Jiang, Zhaoxia
    JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2018, 123 (10) : 8298 - 8311
  • [46] On Burr XII Distribution Analysis Under Progressive Type-II Hybrid Censored Data
    M. Noori Asl
    R. Arabi Belaghi
    H. Bevrani
    Methodology and Computing in Applied Probability, 2017, 19 : 665 - 683
  • [47] Use of Burr type XII distribution on software reliability growth modelling
    King Abdulaziz Univ, Jeddah, Saudi Arabia
    Microelectron Reliab, 2 (305-313):
  • [48] Economical sampling plans with warranty based on truncated data from Burr type XII distribution
    Tsai, Tzong-Ru
    Lio, Yuhlong
    Jiang, Nan
    Lin, Yu-Jau
    Fan, Ya-Yen
    JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2015, 66 (09) : 1511 - 1518
  • [49] On Burr XII Distribution Analysis Under Progressive Type-II Hybrid Censored Data
    Asl, M. Noori
    Belaghi, R. Arabi
    Bevrani, H.
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2017, 19 (02) : 665 - 683
  • [50] On an Integral Related to the Burr XII Distribution
    Watkins, Alan J.
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (21) : 3777 - 3779