This package provides estimators of the mode of univariate unimodal (and sometimes multimodal) data, and values of the modes of usual probability distributions.
For a complete list of functions, use library(help = "modeest") or help.start().
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Dalenius T. (1965). The Mode - A Negleted Statistical Parameter. J. Royal Statist. Soc. A, 128:110-117.
Grenander U. (1965). Some direct estimates of the mode. Ann. Math. Statist., 36:131-138.
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Konakov V.D. (1973). On the asymptotic normality of the mode of multidimensional distributions. Theory Probab. Appl., 18:794-803.
Robertson T. and Cryer J.D. (1974). An iterative procedure for estimating the mode. J. Amer. Statist. Assoc., 69(348):1012-1016.
Kim B.K. and Van Ryzin J. (1975). Uniform consistency of a histogram density estimator and modal estimation. Commun. Statist., 4:303-315.
Sager T.W. (1975). Consistency in nonparametric estimation of the mode. Ann. Statist., 3(3):698-706.
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Adriano K.N., Gentle J.E. and Sposito V.A. (1977). On the asymptotic bias of Grenander's mode estimator. Commun. Statist.-Theor. Meth. A, 6:773-776.
Asselin de Beauville J.-P. (1978). Estimation non parametrique de la densite et du mode, exemple de la distribution Gamma. Revue de Statistique Appliquee, 26(3):47-70.
Sager T.W. (1978). Estimation of a multivariate mode. Ann. Statist., 6:802-812.
Devroye L. (1979). Recursive estimation of the mode of a multivariate density. Canadian J. Statist., 7(2):159-167.
Sager T.W. (1979). An iterative procedure for estimating a multivariate mode and isopleth. J. Amer. Statist. Assoc., 74(366):329-339.
Eddy W.F. (1980). Optimum kernel estimators of the mode. Ann. Statist., 8(4):870-882.
Eddy W.F. (1982). The Asymptotic Distributions of Kernel Estimators of the Mode. Z. Wahrsch. Verw. Gebiete, 59:279-290.
Hall P. (1982). Asymptotic Theory of Grenander's Mode Estimator. Z. Wahrsch. Verw. Gebiete, 60:315-334.
Sager T.W. (1983). Estimating modes and isopleths. Commun. Statist.-Theor. Meth., 12(5):529-557.
Hartigan J.A. and Hartigan P.M. (1985). The Dip Test of Unimodality. Ann. Statist., 13:70-84.
Hartigan P.M. (1985). Computation of the Dip Statistic to Test for Unimodality. Appl. Statist. (JRSS C), 34:320-325.
Romano J.P. (1988). On weak convergence and optimality of kernel density estimates of the mode. Ann. Statist., 16(2):629-647.
Tsybakov A. (1990). Recursive estimation of the mode of a multivariate distribution. Probl. Inf. Transm., 26:31-37.
Hyndman R.J. (1996). Computing and graphing highest density regions. Amer. Statist., 50(2):120-126.
Vieu P. (1996). A note on density mode estimation. Statistics \& Probability Letters, 26:297--307.
Leclerc J. (1997). Comportement limite fort de deux estimateurs du mode : le shorth et l'estimateur naif. C. R. Acad. Sci. Paris, Serie I, 325(11):1207-1210.
Leclerc J. (2000). Strong limiting behavior of two estimates of the mode: the shorth and the naive estimator. Statistics and Decisions, 18(4).
Shoung J.M. and Zhang C.H. (2001). Least squares estimators of the mode of a unimodal regression function. Ann. Statist., 29(3):648-665.
Bickel D.R. (2002). Robust estimators of the mode and skewness of continuous data. Computational Statistics and Data Analysis, 39:153-163.
Abraham C., Biau G. and Cadre B. (2003). Simple Estimation of the Mode of a Multivariate Density. Canad. J. Statist., 31(1):23-34.
Bickel D.R. (2003). Robust and efficient estimation of the mode of continuous data: The mode as a viable measure of central tendency. J. Statist. Comput. Simul., 73:899-912.
Djeddour K., Mokkadem A. et Pelletier M. (2003). Sur l'estimation recursive du mode et de la valeur modale d'une densite de probabilite. Technical report 105.
Djeddour K., Mokkadem A. et Pelletier M. (2003). Application du principe de moyennisation a l'estimation recursive du mode et de la valeur modale d'une densite de probabilite. Technical report 106.
Hedges S.B. and Shah P. (2003). Comparison of mode estimation methods and application in molecular clock analysis. BMC Bioinformatics, 4:31-41.
Herrmann E. and Ziegler K. (2004). Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions. Statistics and Probability Letters, 68:359-368.
Abraham C., Biau G. and Cadre B. (2004). On the Asymptotic Properties of a Simple Estimate of the Mode. ESAIM Probab. Stat., 8:1-11.
Mokkadem A. and Pelletier M. (2005). Adaptive Estimation of the Mode of a Multivariate Density. J. Nonparametr. Statist., 17(1):83-105.
Bickel D.R. and Fruehwirth R. (2006). On a Fast, Robust Estimator of the Mode: Comparisons to Other Robust Estimators with Applications. Computational Statistics and Data Analysis, 50(12):3500-3530.
mlv for general mode estimation.