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Journal of the American Statistical Association Volume 71, 1976 - Issue 354
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Theory and Method

Some Classification Procedures for Multivariate Binary Data Using Orthogonal Functions

Jurg Ott Division of Medical Genetics, University of Washington, Seattle, WA, 98195, USA
&
Richard A. Kronmal Department of Biostatistics, University of Washington, Seattle, WA, 98195, USA
Pages 391-399 | Received 01 Jul 1974, Published online: 05 Apr 2012

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Min Jiang & Serge B. Provost. (2011) Improved orthogonal polynomial density estimates. Journal of Statistical Computation and Simulation 81:11, pages 1495-1516.
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DavidS. Stoffer. (1991) Walsh-Fourier Analysis and its Statistical Applications. Journal of the American Statistical Association 86:414, pages 461-479.
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Alan Julian Izenman. (1991) Review Papers: Recent Developments in Nonparametric Density Estimation. Journal of the American Statistical Association 86:413, pages 205-224.
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MichaelE. Tarter. (1986) Mean Integrated Squared Error Sampling. Journal of the American Statistical Association 81:393, pages 234-242.
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PeterJ. Diggle & Peter Hall. (1986) The Selection of Terms in an Orthogonal Series Density Estimator. Journal of the American Statistical Association 81:393, pages 230-233.
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M.C. Wang. (1986) A prior-valued estimator applied to multinomial classification. Communications in Statistics - Theory and Methods 15:2, pages 405-427.
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WilliamJ. Butler & RichardA. Kronmal. (1985) Discrimination with Polychotomous Predictor Variables Using Orthogonal Functions. Journal of the American Statistical Association 80:390, pages 443-448.
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RussellA. Boyles & FranciscoJ. Samaniego. (1984) Modeling and Inference for Multivariate Binary Data with Positive Dependence. Journal of the American Statistical Association 79:385, pages 188-193.
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D.M. Titterington. (1980) A Comparative Study of Kernel-Based Density Estimates for Categorical Data. Technometrics 22:2, pages 259-268.
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WilliamR. Dillon & Matthew Goldstein. (1978) On the Performance of Some Multinomial Classification Rules. Journal of the American Statistical Association 73:362, pages 305-313.
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Helge E. Solberg. (1978) Discriminant Analysis. CRC Critical Reviews in Clinical Laboratory Sciences 9:3, pages 209-242.
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Nora Saadi, Smail Adjabi & Ali Gannoun. (2016) The selection of the number of terms in an orthogonal series cumulative function estimator. Statistical Papers 59:1, pages 127-152.
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Michael Stephanou, Melvin Varughese & Iain Macdonald. (2017) Sequential quantiles via Hermite series density estimation. Electronic Journal of Statistics 11:1.
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Rui Liu, Yun Chen, Jianping Wu, Lei Gao, Damian Barrett, Tingbao Xu, Linyi Li, Chang Huang & Jia Yu. (2015) Assessing spatial likelihood of flooding hazard using naïve Bayes and GIS: a case study in Bowen Basin, Australia. Stochastic Environmental Research and Risk Assessment 30:6, pages 1575-1590.
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Wesley O. Johnson. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Maxim Raginsky, Jorge G. Silva, Svetlana Lazebnik & Rebecca Willett. (2013) A recursive procedure for density estimation on the binary hypercube. Electronic Journal of Statistics 7:none.
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Jürg Ott. (2011) William Allan Award Address: On the Role and Soul of a Statistical Geneticist. The American Journal of Human Genetics 88:3, pages 264-268.
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Wesley O. Johnson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Wesley O. Johnson. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
J. Hoh, S. Jin, T. Parrado, J. Edington, A. J. Levine & J. Ott. (2002) The p53MH algorithm and its application in detecting p53-responsive genes. Proceedings of the National Academy of Sciences 99:13, pages 8467-8472.
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David J. Hand & Keming Yu. (2007) Idiot's Bayes—Not So Stupid After All?. International Statistical Review 69:3, pages 385-398.
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B. Yu, M. Ostland, P. Gong & R. Pu. (1999) Penalized discriminant analysis of in situ hyperspectral data for conifer species recognition. IEEE Transactions on Geoscience and Remote Sensing 37:5, pages 2569-2577.
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Dag Wedelin. (1996) Efficient estimation and model selection in large graphical models. Statistics and Computing 6:4, pages 313-323.
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Amarjit S. Bhatia & Bishwa N. Mukherjee. (1993) Comparison of Some Multinomial Classification Rules: A Case Study. Behaviormetrika 20:1, pages 91-106.
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Gilles Celeux & Abdallah Mkhadri. (1992) Discrete regularized discriminant analysis. Statistics and Computing 2:3, pages 143-151.
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Tamara Odom‐Maryon, Bryan Langholz, Joyce Niland & Stanley Azen. (2006) Generalization of normal discriminant analysis using fourier series density estimators. Statistics in Medicine 10:3, pages 473-485.
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G. Tutz. (1990) Log-linear parameterizations in discriminant analysis. ZOR Zeitschrift f� Operations Research Methods and Models of Operations Research 34:4, pages 303-319.
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David S. Stoffer. (2008) MULTIVARIATE WALSH‐FOURIER ANALYSIS. Journal of Time Series Analysis 11:1, pages 57-73.
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X.R. Chen, P.R. Krishnaiah & W.W. Liang. (1989) Estimation of multivariate binary density using orthogonal functions. Journal of Multivariate Analysis 31:2, pages 178-186.
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Gerhard Tutz. (1988) Sufficiency of variables in discrete discriminant analysis. Statistical Papers 29:1, pages 257-269.
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T. Wojciechowski. (2007) An Application of the Orthogonal Series Estimators in the Classification Of Mixed Variables. Biometrical Journal 30:8, pages 931-938.
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David S. Stoffer. (2008) WALSH‐FOURIER ANALYSIS OF DISCRETE‐VALUED TIME SERIES. Journal of Time Series Analysis 8:4, pages 449-467.
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Wen-Qi Liang & P.R. Krishnaiah. (1985) Nonparametric iterative estimation of multivariate binary density. Journal of Multivariate Analysis 16:1, pages 162-172.
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G. A. F. Seber. 1984. Multivariate Observations. Multivariate Observations 626 670 .
JURG OTT. (2007) Linkage analysis and family classification under heterogeneity. Annals of Human Genetics 47:4, pages 311-320.
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Minoru Siotani. 1982. Classification Pattern Recognition and Reduction of Dimensionality. Classification Pattern Recognition and Reduction of Dimensionality 61 100 .
Rand R. Wilcox. (2016) An Empirical Comparison of Four Discrete Discriminate Analysis Procedures. Educational and Psychological Measurement 40:4, pages 981-986.
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Rand R. Wilcox. (2016) Prediction Analysis and the Reliability of a Mastery Test. Educational and Psychological Measurement 39:4, pages 825-839.
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