Homogeneity test based on ranked set samples

被引:0
|
作者
Rahmani, Hamid [1 ]
Razmkhah, Mostafa [1 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Stat, POB 1159, Mashhad 91775, Razavi Khorasan, Iran
关键词
Asymptotic distribution; Bootstrap test; Imperfect rankings; Kernel density estimation; Location family; Mixture model; LIKELIHOOD RATIO TEST; MOMENT-BASED TEST; RANKING;
D O I
10.1080/03610926.2019.1609034
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
The homogeneity hypothesis is investigated in a location family of distributions. A moment-based test is introduced based on data collected from a ranked set sampling scheme. The asymptotic distribution of the proposed test statistic is determined and the performance of the test is studied via simulation. Furthermore, for small sample sizes, the bootstrap procedure is used to distinguish the homogeneity of data. An illustrative example is also presented to explain the proposed procedures in this paper.
引用
收藏
页码:4771 / 4786
页数:16
相关论文
共 50 条
  • [1] A bootstrap test for symmetry based on ranked set samples
    Drikvandi, Reza
    Modarres, Reza
    Jalilian, Abdullah H.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (04) : 1807 - 1814
  • [2] Improved entropy based test of uniformity using ranked set samples
    Mandizadeh, M.
    Arghami, N. R.
    [J]. SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 2013, 37 (01) : 3 - 18
  • [3] Optimal sign test for quantiles in ranked set samples
    Dong, Xiaofang
    Cui, Lirong
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (11) : 2943 - 2951
  • [4] On the Use of Ranked Set Samples in Entropy Based Test of Fit for the Laplace Distribution
    Mahdizadeh, Mahdi
    [J]. REVISTA COLOMBIANA DE ESTADISTICA, 2012, 35 (03): : 443 - 455
  • [5] Sign test based on k-tuple general ranked set samples
    Li, Tao
    Balakrishnan, Narayanaswamy
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (13) : 3874 - 3883
  • [6] An Exact Control-Versus-Treatment Comparison Test Based on Ranked Set Samples
    Ozturk, Omer
    Balakrishnan, N.
    [J]. BIOMETRICS, 2009, 65 (04) : 1213 - 1222
  • [7] Model based inference using ranked set samples
    Ozturk, Omer
    Kavlak, Konul Bayramoglu
    [J]. SURVEY METHODOLOGY, 2018, 44 (01) : 1 - 16
  • [8] Group sequential methods based on ranked set samples
    Hussein, A.
    Muttlak, H. A.
    Al-Sawi, E.
    [J]. STATISTICAL PAPERS, 2013, 54 (03) : 547 - 562
  • [9] Nonparametric Prediction Intervals Based on Ranked Set Samples
    Vock, Michael
    Balakrishnan, N.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (12) : 2256 - 2268
  • [10] Group sequential methods based on ranked set samples
    A. Hussein
    H. A. Muttlak
    E. Al-Sawi
    [J]. Statistical Papers, 2013, 54 : 547 - 562