Errors of misclassification and their probability distributions when the parent populations are Gompertz

被引:14
|
作者
Moustafa, HM [1 ]
Ramadan, SG [1 ]
机构
[1] Assiut Univ, Dept Math, Assiut 71516, Egypt
关键词
Gompertz population; errors of misclassification; linear discriminant function; likelihood ratio rule; error rate;
D O I
10.1016/j.amc.2004.02.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Classification problems associated with univariate Gompertz populations are studied. The robustness of the linear discriminant function, the normal classificatory rule, LDF when the underlying populations are Gompertz, is investigated. The errors of misclassification corresponding to LDF are compared with that due to the likelihood ratio LR rule for Gompertz populations. The asymptotic probability distributions for the actual error rates are derived, for large sample sizes. Theoretical and experimental comparisons are performed. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:423 / 442
页数:20
相关论文
共 42 条
  • [31] On confidence interval of a common autocorrelation coefficient of two populations in multivariate data when the errors are autocorrelated
    Bhandary, Madhusudan
    JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2016, 19 (04): : 509 - 517
  • [32] ON CLASS OF UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATORS WHEN CLASS OF PROBABILITY DISTRIBUTIONS HAS A FINITE RANK
    TAKEUCHI, K
    ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (05): : 1788 - &
  • [33] Optimal fusion rule for distributed detection with channel errors taking into account sensors' unreliability probability when protecting coastlines
    Ivanovich, Parfenov Vladimir
    Le Van Dong
    INTERNATIONAL JOURNAL OF SENSOR NETWORKS, 2022, 38 (02) : 71 - 84
  • [34] Distributions of Cisco (Coregonus artedi) in the upper Great Lakes in the mid-twentieth century, when populations were in decline
    Kao, Yu-Chun
    Renauer-Bova, Renee E.
    Bunnell, David B.
    Gorman, Owen T.
    Eshenroder, Randy L.
    PLOS ONE, 2022, 17 (12):
  • [35] Distance and luminosity probability distributions derived from parallax and flux with their measurement errors With application to the millisecond pulsar PSR J0218+4232
    Igoshev, Andrei
    Verbunt, Frank
    Cator, Eric
    ASTRONOMY & ASTROPHYSICS, 2016, 591
  • [36] Probability distributions of arsenic in soil from brownfield sites in Beijing (China): statistical characterization of the background populations and implications for site assessment studies
    Marina Accornero
    Lin Jiang
    Eugenio Napoli
    Marco Cremonini
    Giovanni Ferro
    Federica Belloro
    Maosheng Zhong
    Frontiers of Environmental Science & Engineering, 2015, 9 : 465 - 474
  • [37] Probability distributions of arsenic in soil from brownfield sites in Beijing(China): statistical characterization of the background populations and implications for site assessment studies
    Marina ACCORNERO
    Lin JIANG
    Eugenio NAPOLI
    Marco CREMONINI
    Giovanni FERRO
    Federica BELLORO
    Maosheng ZHONG
    Frontiers of Environmental Science & Engineering, 2015, 9 (03) : 465 - 474
  • [38] Probability distributions of arsenic in soil from brownfield sites in Beijing (China): statistical characterization of the background populations and implications for site assessment studies
    Accornero, Marina
    Jiang, Lin
    Napoli, Eugenio
    Cremonini, Marco
    Ferro, Giovanni
    Belloro, Federica
    Zhong, Maosheng
    FRONTIERS OF ENVIRONMENTAL SCIENCE & ENGINEERING, 2015, 9 (03) : 465 - 474
  • [39] Accounting for Errors in Low Coverage High-Throughput Sequencing Data When Constructing Genetic Maps Using Biparental Outcrossed Populations
    Bilton, Timothy P.
    Schofield, Matthew R.
    Black, Michael A.
    Chagne, David
    Wilcox, Phillip L.
    Dodds, Ken G.
    GENETICS, 2018, 209 (01) : 65 - 76
  • [40] BLOOD-GROUPS IN BANTU POPULATIONS FROM ANGOLA INCLUDING CONTRIBUTION TO CALCULATION OF PATERNITY PROBABILITY BY SPECIALISTS WHEN NEGROES ARE POSSIBLE FATHERS
    SPIELMANN, W
    TEIXIDOR, D
    MATZNETTER, T
    BLUT, 1973, 27 (05): : 322 - 335