BibTex RIS Kaynak Göster

Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis

Yıl 2009, Cilt: 38 Sayı: 3, 357 - 372, 01.03.2009

Kaynakça

  • Anderson, T. W. An introduction to multivariate statistical analysis, Second edition (John Wiley& Sons. Inc., New York, 1984).
  • Davison, A. C. and Hinkley, D. V. Bootstrap methods and their application (Cambridge University Press, Cambridge, 1997).
  • DiCicio, T. J. and Romano, J. P. A Review of bootstrap confidence intervals (with discus- sion), J. R. Statist. Soc. B. 50, 338–370, 1988.
  • Efron, B. Bootstrap methods: Another look at the Jackknife, Ann. Math. Statist. 7, 1–26, Efron, B. Nonparametric standard errors and confidence intervals (with discussion), Canad. J. Statist. 9, 139–172, 1981.
  • Efron, B. The Jackknife, the Bootstrap and other resampling plans (J. W. Arrowsmith Ltd., Bristol, England, 1982).
  • Efron, B. Bootstrap confidence intervals for a class of parametric problems, Biometrica 72, –58, 1985.
  • Efron, B. Better Bootstrap confidence intervals (with discussion), J. Amer. Statist. Assoc. , 171–200, 1987.
  • Efron, B. and Gong, G. A Leisurely look at the Bootstrap, the Jackknife and Cross Valida- tion, The American Statistician 37, 36–48, 1983.
  • Efron, B. and Tibshirani, R. Bootstrap methods for standard errors, confidence intervals and other measures of statistical accuracy(with discussion), Statist. Science 1, 54–77, 1986.
  • Fisher, R. A. The Use of the multiple measurements in taxonomic problems, Annals of Eugenics 7, 179–188, 1936.
  • Hall, P. Theoretical comparison of Bootstrap confidence intervals (with discussion), Ann. Statist. 16, 927–985, 1988.
  • Hand, D. Recent advances in error rate estimation, Pattern Recognition 10, 211–222, 1986.
  • Hand, D. Construction and assessment of classification rules (John Wiley & Sons, 1997).
  • Hills, M. Allocation rules and their error rates, Journal of the Royal Statistical Society, Ser. B. 28, 1–20, 1966.
  • John, S. Errors in discrimination, Ann. Math. Statist. 32, 1125–1144, 1961.
  • Krzanowski, W. J. Data-based interval estimation of classification error rates, Journal of Applied Statistics 28 (5), 585–595, 2001.
  • Kiers, H. A. L. Bootstrap confidence intervals for three way methods, J. Chemometrics 18, –36, 2004.
  • Lachenbruch, P. A. An Almost unbiased method of obtaining confidence intervals for the probability of misclassification in discriminant analysis, Biometrics 23, 639–645, 1967.
  • Lachenbruch, P. A. Discriminant analysis (Hafner Press., New York, 1975).
  • Lachenbruch, P. A. and Mickey, M. R. Estimation of error rates in discriminant analysis, Technometrics 10, 1–11, 1968.
  • McLachlan, G. J. An Asimptotic unbiased technique for estimation the error rates in dis- criminant analysis, Biometrics 30, 239-249, 1974.
  • McLachlan, G. J. Confidence intervals for the conditional probability of misallocation in discriminant analysis, Biometrics 32, 161–167, 1975.
  • McLachlan, G. J. Discriminant analysis and statistical pattern recognition (John Wiley & Sonsc Inc., New York, 1992).
  • Okamoto, M. An asymptotic expansion for the distribution of the linear discriminant func- tion, Annals of Math. Statistics 34, 1286–1301, 1963.
  • Sayre, J. W. The Distribution of the actual error rates in discriminant analysis, J. Amer. Statist. Assoc. 75, 201–205, 1980.
  • Sitgreaves, R. Some results on the distribution of the W-classification statistics in Studies in Item Analysis and Prediction, H. Solomon ed., Stanford, Calif. Stanford University Press., –251, 1961.
  • Smith, C. A. B. Some examples of discrimination, Annals of Eugenics 18, 272–282, 1947.
  • Snapinn, S. M. An Evaluation of smoothed error rate estimators in discriminant analysis (Institute of Statistics Mimeo Series No. 1438, Dept. of Biostatistics, Univ. of N.C. at Chapel Hill, 1983).
  • Timmerman, M. E. and Ter Braak, C. J. F. Bootstrap confidence intervals for principal re- sponse curves, Comput. Statis. and Data Anal. 52 (4), 1837–1849, 2007.
  • Toussaint, G. T. Bibliography on estimation of misclassification, IEEE Trans. Inform. The- ory IT-20, 472–479, 1974.
  • Wald, A. On Statistical problems arising in the classification of an individual into one of two groups, Ann. Math. Statist. 15, 145–162, 1944.
  • Welch, B. L. Note on the discriminant functions, Biometrika 31, 218–220, 1939.
  • Wasserman, L. All of nonparametric statistics (Springer, New York, USA, 2006).

Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis

Yıl 2009, Cilt: 38 Sayı: 3, 357 - 372, 01.03.2009

Kaynakça

  • Anderson, T. W. An introduction to multivariate statistical analysis, Second edition (John Wiley& Sons. Inc., New York, 1984).
  • Davison, A. C. and Hinkley, D. V. Bootstrap methods and their application (Cambridge University Press, Cambridge, 1997).
  • DiCicio, T. J. and Romano, J. P. A Review of bootstrap confidence intervals (with discus- sion), J. R. Statist. Soc. B. 50, 338–370, 1988.
  • Efron, B. Bootstrap methods: Another look at the Jackknife, Ann. Math. Statist. 7, 1–26, Efron, B. Nonparametric standard errors and confidence intervals (with discussion), Canad. J. Statist. 9, 139–172, 1981.
  • Efron, B. The Jackknife, the Bootstrap and other resampling plans (J. W. Arrowsmith Ltd., Bristol, England, 1982).
  • Efron, B. Bootstrap confidence intervals for a class of parametric problems, Biometrica 72, –58, 1985.
  • Efron, B. Better Bootstrap confidence intervals (with discussion), J. Amer. Statist. Assoc. , 171–200, 1987.
  • Efron, B. and Gong, G. A Leisurely look at the Bootstrap, the Jackknife and Cross Valida- tion, The American Statistician 37, 36–48, 1983.
  • Efron, B. and Tibshirani, R. Bootstrap methods for standard errors, confidence intervals and other measures of statistical accuracy(with discussion), Statist. Science 1, 54–77, 1986.
  • Fisher, R. A. The Use of the multiple measurements in taxonomic problems, Annals of Eugenics 7, 179–188, 1936.
  • Hall, P. Theoretical comparison of Bootstrap confidence intervals (with discussion), Ann. Statist. 16, 927–985, 1988.
  • Hand, D. Recent advances in error rate estimation, Pattern Recognition 10, 211–222, 1986.
  • Hand, D. Construction and assessment of classification rules (John Wiley & Sons, 1997).
  • Hills, M. Allocation rules and their error rates, Journal of the Royal Statistical Society, Ser. B. 28, 1–20, 1966.
  • John, S. Errors in discrimination, Ann. Math. Statist. 32, 1125–1144, 1961.
  • Krzanowski, W. J. Data-based interval estimation of classification error rates, Journal of Applied Statistics 28 (5), 585–595, 2001.
  • Kiers, H. A. L. Bootstrap confidence intervals for three way methods, J. Chemometrics 18, –36, 2004.
  • Lachenbruch, P. A. An Almost unbiased method of obtaining confidence intervals for the probability of misclassification in discriminant analysis, Biometrics 23, 639–645, 1967.
  • Lachenbruch, P. A. Discriminant analysis (Hafner Press., New York, 1975).
  • Lachenbruch, P. A. and Mickey, M. R. Estimation of error rates in discriminant analysis, Technometrics 10, 1–11, 1968.
  • McLachlan, G. J. An Asimptotic unbiased technique for estimation the error rates in dis- criminant analysis, Biometrics 30, 239-249, 1974.
  • McLachlan, G. J. Confidence intervals for the conditional probability of misallocation in discriminant analysis, Biometrics 32, 161–167, 1975.
  • McLachlan, G. J. Discriminant analysis and statistical pattern recognition (John Wiley & Sonsc Inc., New York, 1992).
  • Okamoto, M. An asymptotic expansion for the distribution of the linear discriminant func- tion, Annals of Math. Statistics 34, 1286–1301, 1963.
  • Sayre, J. W. The Distribution of the actual error rates in discriminant analysis, J. Amer. Statist. Assoc. 75, 201–205, 1980.
  • Sitgreaves, R. Some results on the distribution of the W-classification statistics in Studies in Item Analysis and Prediction, H. Solomon ed., Stanford, Calif. Stanford University Press., –251, 1961.
  • Smith, C. A. B. Some examples of discrimination, Annals of Eugenics 18, 272–282, 1947.
  • Snapinn, S. M. An Evaluation of smoothed error rate estimators in discriminant analysis (Institute of Statistics Mimeo Series No. 1438, Dept. of Biostatistics, Univ. of N.C. at Chapel Hill, 1983).
  • Timmerman, M. E. and Ter Braak, C. J. F. Bootstrap confidence intervals for principal re- sponse curves, Comput. Statis. and Data Anal. 52 (4), 1837–1849, 2007.
  • Toussaint, G. T. Bibliography on estimation of misclassification, IEEE Trans. Inform. The- ory IT-20, 472–479, 1974.
  • Wald, A. On Statistical problems arising in the classification of an individual into one of two groups, Ann. Math. Statist. 15, 145–162, 1944.
  • Welch, B. L. Note on the discriminant functions, Biometrika 31, 218–220, 1939.
  • Wasserman, L. All of nonparametric statistics (Springer, New York, USA, 2006).
Toplam 33 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Cemal Atakan Bu kişi benim

Yayımlanma Tarihi 1 Mart 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 38 Sayı: 3

Kaynak Göster

APA Atakan, C. (2009). Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis. Hacettepe Journal of Mathematics and Statistics, 38(3), 357-372.
AMA Atakan C. Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis. Hacettepe Journal of Mathematics and Statistics. Mart 2009;38(3):357-372.
Chicago Atakan, Cemal. “Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis”. Hacettepe Journal of Mathematics and Statistics 38, sy. 3 (Mart 2009): 357-72.
EndNote Atakan C (01 Mart 2009) Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis. Hacettepe Journal of Mathematics and Statistics 38 3 357–372.
IEEE C. Atakan, “Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis”, Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 3, ss. 357–372, 2009.
ISNAD Atakan, Cemal. “Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis”. Hacettepe Journal of Mathematics and Statistics 38/3 (Mart 2009), 357-372.
JAMA Atakan C. Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis. Hacettepe Journal of Mathematics and Statistics. 2009;38:357–372.
MLA Atakan, Cemal. “Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis”. Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 3, 2009, ss. 357-72.
Vancouver Atakan C. Bootstrap Percentile Confidence Intervals for Actual Error Rate in Linear Discriminant Analysis. Hacettepe Journal of Mathematics and Statistics. 2009;38(3):357-72.