Asymptotic theory of the log-likelihood ratio test for mixtures with two components

被引:0
|
作者
Garel, B [1 ]
机构
[1] STAT ENSEEIHT,F-31071 TOULOUSE,FRANCE
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show how it is possible to remove the separation condition given by Gosh and Sen [5], in the problem of testing homogeneity versus a mixture with two components via the likelihood ratio test. The asymptotic expression of the test is given with the usual parameterization. Some applications are considered.
引用
收藏
页码:199 / 202
页数:4
相关论文
共 50 条
  • [1] Asymptotic distribution and local power of the log-likelihood ratio test for mixtures:: bounded and unbounded cases
    Azais, Jean-Marc
    Gassiat, Elisabeth
    Mercadier, Cecile
    [J]. BERNOULLI, 2006, 12 (05) : 775 - 799
  • [2] THE LOG-LIKELIHOOD RATIO FOR SPARSE MULTINOMIAL MIXTURES
    ZELTERMAN, D
    [J]. STATISTICS & PROBABILITY LETTERS, 1986, 4 (02) : 95 - 99
  • [3] Log-likelihood ratio test for detecting transient change
    Jaruskova, Daniela
    Piterbarg, Vladimir I.
    [J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (05) : 552 - 559
  • [4] STANDARDIZED LOG-LIKELIHOOD RATIO STATISTICS FOR MIXTURES OF DISCRETE AND CONTINUOUS OBSERVATIONS
    JENSEN, JL
    [J]. ANNALS OF STATISTICS, 1987, 15 (01): : 314 - 324
  • [5] BEAMFORMER AS A LOG-LIKELIHOOD RATIO DETECTOR
    LEWIS, JB
    SCHULTHEISS, PM
    [J]. IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, 1971, AU19 (02): : 140 - +
  • [6] Transfer Entropy as a Log-Likelihood Ratio
    Barnett, Lionel
    Bossomaier, Terry
    [J]. PHYSICAL REVIEW LETTERS, 2012, 109 (13)
  • [7] Deep Log-Likelihood Ratio Quantization
    Arvinte, Marius
    Tewfik, Ahmed H.
    Vishwanath, Sriram
    [J]. 2019 27TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO), 2019,
  • [8] SOME PROPERTIES OF THE LOG-LIKELIHOOD RATIO
    LEE, CC
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1982, 313 (05): : 273 - 285
  • [9] Comparing Several Gamma Means: An Improved Log-Likelihood Ratio Test
    Wong, Augustine
    [J]. ENTROPY, 2023, 25 (01)
  • [10] Log-Likelihood Ratio Test for Spectrum Sensing With Truncated Covariance Matrix
    Jin, Ming
    Chen, Guo
    Guo, Qinghua
    Li, Jun
    Li, Hai
    [J]. IEEE INTERNET OF THINGS JOURNAL, 2024, 11 (10): : 18205 - 18220