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Technometrics Volume 22, 1980 - Issue 2
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Original Articles

A Comparative Study of Kernel-Based Density Estimates for Categorical Data

D. M. Titterington Department of Statistics, University of Glasgow, University Gardens, Glasgow, Scotland, G12 8QW
Pages 259-268 | Published online: 23 Mar 2012

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Balaji Rajagopalan & Upmanu Lall. (1995) A kernel estimator for discrete distributions. Journal of Nonparametric Statistics 4:4, pages 409-426.
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Gerhard Tutz. (1990) Smoothed categorical regression based on direct kernel estimates. Journal of Statistical Computation and Simulation 36:2-3, pages 139-156.
Read now
Gerhard Tutz. (1989) On cross-validation for discrete kernel estimates in discrimination. Communications in Statistics - Theory and Methods 18:11, pages 4145-4162.
Read now
M. Möhner. (1987) On the estimation of the expected actual error rate in sample–based multinomial classification. Statistics 18:4, pages 599-612.
Read now
M.C. Wang. (1986) A prior-valued estimator applied to multinomial classification. Communications in Statistics - Theory and Methods 15:2, pages 405-427.
Read now
M. Mohner. (1986) A comparative study of estimators for probabilities in contingency tables. Statistics 17:4, pages 557-568.
Read now
PhilipJ. Brown & Peter W. K. Rundell. (1985) Kernel Estimates for Categorical Data. Technometrics 27:3, pages 293-299.
Read now
D.M. Titterington & A.W. Bowman. (1985) A comparative study of smoothing procedures for ordered categorical data. Journal of Statistical Computation and Simulation 21:3-4, pages 291-312.
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O. Bunke. (1985) An adaptive smoothing estimator lor probabilities in contingency tables. Statistics 16:1, pages 55-62.
Read now
StephenE. Fienberg & GailD. Gong. (1984) Comment. Journal of the American Statistical Association 79:385, pages 72-77.
Read now
P.I.M. Schmitz, J.D.F. Habbema, J. Hermans & J.W. Raatgever. (1983) Comparative performance of four discriminant analysis methods for mixtures of continuous and discrete variables. Communications in Statistics - Simulation and Computation 12:6, pages 727-751.
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C.G.G. Aitken. (1983) Kernel methods for the estimation of discrete distributions. Journal of Statistical Computation and Simulation 16:3-4, pages 189-200.
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D. Hill Peter. (1982) Numerical Algorithms Group Manual Mark 7. Communications in Statistics - Theory and Methods 11:20, pages 2343-2356.
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Chi-Yang Chu, Daniel J. Henderson & Christopher F. Parmeter. (2017) On discrete Epanechnikov kernel functions. Computational Statistics & Data Analysis 116, pages 79-105.
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Andrew R. Webb & Keith D. Copsey. 2011. Statistical Pattern Recognition. Statistical Pattern Recognition 591 636 .
Drew A. Linzer. (2017) Reliable Inference in Highly Stratified Contingency Tables: Using Latent Class Models as Density Estimators. Political Analysis 19:2, pages 173-187.
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Desheng Ouyang, Qi Li & Jeffrey S. Racine. (2009) NONPARAMETRIC ESTIMATION OF REGRESSION FUNCTIONS WITH DISCRETE REGRESSORS. Econometric Theory 25:1, pages 1-42.
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Zdravko I. Botev & Dirk P. Kroese. (2008) Non-asymptotic Bandwidth Selection for Density Estimation of Discrete Data. Methodology and Computing in Applied Probability 10:3, pages 435-451.
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Z.I. Botev, D.P. Kroese & T. Taimre. (2016) Generalized Cross-entropy Methods with Applications to Rare-event Simulation and Optimization. SIMULATION 83:11, pages 785-806.
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John Aitchison, Jim Kay & Ian Lauder. 2004. Statistical Concepts and Applications in Clinical Medicine. Statistical Concepts and Applications in Clinical Medicine 327 331 .
Prabir Burman. (2004) On some testing problems for sparse contingency tables. Journal of Multivariate Analysis 88:1, pages 1-18.
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D. Lucy, R. G. Aykroyd & A. M. Pollard. (2002) Nonparametric Calibration for Age Estimation. Journal of the Royal Statistical Society Series C: Applied Statistics 51:2, pages 183-196.
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Edgar Acuña, Alex Rojas & Frida Coaquira. 2002. Classification, Clustering, and Data Analysis. Classification, Clustering, and Data Analysis 161 168 .
Jeffrey S. Simonoff & Gerhard Tutz. 2000. Smoothing and Regression. Smoothing and Regression 193 228 .
M. C. Jones & S. K. Vines. (1998) Choosing the smoothing parameter for unordered multinomial data. Test 7:2, pages 413-426.
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Gerhard Tutz & Herbert Gro�. (1995) Discrete kernels, loss functions and parametric models in discrete discrimination: A comparative study. ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research 42:2, pages 217-230.
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Iris Pigeot. 1994. Computational Statistics. Computational Statistics 159 176 .
A. B. Lawson & F. L. R. Williams. (2011) Applications of extraction mapping in environmental epidemiology. Statistics in Medicine 12:13, pages 1249-1258.
Crossref
Gilles Celeux & Abdallah Mkhadri. (1992) Discrete regularized discriminant analysis. Statistics and Computing 2:3, pages 143-151.
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Gerhard Tutz. (2007) Choice of Smoothing Parameters for Direct Kernels in Discrimination. Biometrical Journal 33:5, pages 519-527.
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Peter Hall. (1990) Akaike's information criterion and Kullback-Leibler loss for histogram density estimation. Probability Theory and Related Fields 85:4, pages 449-467.
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Gerhard Tutz. (2007) Smoothing for Discrete Kernels in Discrimination. Biometrical Journal 30:6, pages 729-739.
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Peter Hall. (1987) On the use of compactly supported density estimates in problems of discrimination. Journal of Multivariate Analysis 23:1, pages 131-158.
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Peter Hall & D. M. Titterington. (2008) On Smoothing Sparse Multinomial Data. Australian Journal of Statistics 29:1, pages 19-37.
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Jeffrey S. Simonoff. (1987) Probability estimation via smoothing in sparse contingency tables with ordered categories. Statistics & Probability Letters 5:1, pages 55-63.
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G. A. F. Seber. 1984. Multivariate Observations. Multivariate Observations 626 670 .
Peter J. Diggle & Richard J. Gratton. (1984) Monte Carlo Methods of Inference for Implicit Statistical Models. Journal of the Royal Statistical Society Series B: Statistical Methodology 46:2, pages 193-212.
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D. M. Titterington. (1983) Minimum Distance Non-Parametric Estimation of Mixture Proportions. Journal of the Royal Statistical Society Series B: Statistical Methodology 45:1, pages 37-46.
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. (1983) Discussion of Professor Copas's Paper. Journal of the Royal Statistical Society Series B: Statistical Methodology 45:3, pages 335-354.
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Max Wilckens & Margeret Hall. (2015) Can Well-Being Be Predicted? A Machine Learning Approach. SSRN Electronic Journal.
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