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\name{modeest}
\alias{modeest-package}
\alias{modeest}
\docType{package}
\title{
Mode Estimation
}
\description{
This package provides estimators of the mode of univariate
unimodal (and sometimes multimodal) data, and values of the modes of usual probability distributions.
%It also includes computation of the density function, distribution function, and quantile
%function of the Chernoff distribution, which is the limiting distribution of the
%Chernoff mode estimator.
For a complete list of functions, use \code{library(help = "modeest")} or \code{help.start()}.
}
\references{
\itemize{
\item Parzen E. (1962).
On estimation of a probability density function and mode.
\emph{Ann. Math. Stat.}, \bold{33}(3):1065-1076.
\item Chernoff H. (1964).
Estimation of the mode.
\emph{Ann. Inst. Statist. Math.}, \bold{16}:31-41.
\item Huber P.J. (1964).
Robust estimation of a location parameter.
\emph{Ann. Math. Statist.}, \bold{35}:73-101.
\item Dalenius T. (1965).
The Mode - A Negleted Statistical Parameter.
\emph{J. Royal Statist. Soc. A}, \bold{128}:110-117.
\item Grenander U. (1965).
Some direct estimates of the mode.
\emph{Ann. Math. Statist.}, \bold{36}:131-138.
\item Venter J.H. (1967).
On estimation of the mode.
\emph{Ann. Math. Statist.}, \bold{38}(5):1446-1455.
\item Lientz B.P. (1969).
On estimating points of local maxima and minima of density functions.
\emph{Nonparametric Techniques in Statistical Inference (ed. M.L. Puri, Cambridge University Press)}, p.275-282.
\item Lientz B.P. (1970).
Results on nonparametric modal intervals.
\emph{SIAM J. Appl. Math.}, \bold{19}:356-366.
\item Wegman E.J. (1971).% a revoir !!
A note on the estimation of the mode.
\emph{Ann. Math. Statist.}, \bold{42}(6):1909-1915.
\item Yamato H. (1971). % a revoir !!
Sequential estimation of a continuous probability density function and mode.
\emph{Bull. Math. Statist.}, \bold{14}:1-12.
\item Ekblom H. (1972).
A Monte Carlo investigation of mode estimators in small samples.
\emph{Applied Statistics}, \bold{21}:177-184.
\item Lientz B.P. (1972).
Properties of modal intervals.
\emph{SIAM J. Appl. Math.}, \bold{23}:1-5.
\item Konakov V.D. (1973).
On the asymptotic normality of the mode of multidimensional distributions.
\emph{Theory Probab. Appl.}, \bold{18}:794-803.
\item Robertson T. and Cryer J.D. (1974).
An iterative procedure for estimating the mode.
\emph{J. Amer. Statist. Assoc.}, \bold{69}(348):1012-1016.
\item Kim B.K. and Van Ryzin J. (1975).
Uniform consistency of a histogram density estimator and modal estimation.
\emph{Commun. Statist.}, \bold{4}:303-315.
\item Sager T.W. (1975).% a revoir !!
Consistency in nonparametric estimation of the mode.
\emph{Ann. Statist.}, \bold{3}(3):698-706.
\item Stone C.J. (1975).
Adaptive maximum likelihood estimators of a location parameter.
\emph{Ann. Statist.}, \bold{3}:267-284.
\item Mizoguchi R. and Shimura M. (1976).
Nonparametric Learning Without a Teacher Based on Mode Estimation.
\emph{IEEE Transactions on Computers}, \bold{C25}(11):1109-1117.
\item Adriano K.N., Gentle J.E. and Sposito V.A. (1977).
On the asymptotic bias of Grenander's mode estimator.
\emph{Commun. Statist.-Theor. Meth. A}, \bold{6}:773-776.
\item Asselin de Beauville J.-P. (1978).
Estimation non parametrique de la densite et du mode, exemple de la distribution Gamma.
\emph{Revue de Statistique Appliquee}, \bold{26}(3):47-70.
\item Sager T.W. (1978).% a revoir !!
Estimation of a multivariate mode.
\emph{Ann. Statist.}, \bold{6}:802-812.
\item Devroye L. (1979).% a revoir !!
Recursive estimation of the mode of a multivariate density.
\emph{Canadian J. Statist.}, \bold{7}(2):159-167.
\item Sager T.W. (1979).% a revoir !!
An iterative procedure for estimating a multivariate mode and isopleth.
\emph{J. Amer. Statist. Assoc.}, \bold{74}(366):329-339.
\item Eddy W.F. (1980).
Optimum kernel estimators of the mode.
\emph{Ann. Statist.}, \bold{8}(4):870-882.
\item Eddy W.F. (1982).
The Asymptotic Distributions of Kernel Estimators of the Mode.
\emph{Z. Wahrsch. Verw. Gebiete}, \bold{59}:279-290.
\item Hall P. (1982).
Asymptotic Theory of Grenander's Mode Estimator.
\emph{Z. Wahrsch. Verw. Gebiete}, \bold{60}:315-334.
\item Sager T.W. (1983).
Estimating modes and isopleths.
\emph{Commun. Statist.-Theor. Meth.}, \bold{12}(5):529-557.
\item Hartigan J.A. and Hartigan P.M. (1985).
The Dip Test of Unimodality.
\emph{Ann. Statist.}, \bold{13}:70-84.
\item Hartigan P.M. (1985).
Computation of the Dip Statistic to Test for Unimodality.
\emph{Appl. Statist. (JRSS C)}, \bold{34}:320-325.
\item Romano J.P. (1988).
On weak convergence and optimality of kernel density estimates of the mode.
\emph{Ann. Statist.}, \bold{16}(2):629-647.
\item Tsybakov A. (1990).
Recursive estimation of the mode of a multivariate distribution.
\emph{Probl. Inf. Transm.}, \bold{26}:31-37.
\item Hyndman R.J. (1996).
Computing and graphing highest density regions.
\emph{Amer. Statist.}, \bold{50}(2):120-126.
\item Vieu P. (1996).
A note on density mode estimation.
\emph{Statistics \& Probability Letters}, \bold{26}:297--307.
\item Leclerc J. (1997).
Comportement limite fort de deux estimateurs du mode : le shorth et l'estimateur naif.
\emph{C. R. Acad. Sci. Paris, Serie I}, \bold{325}(11):1207-1210.
%\item Minnotte M. C. (1997).
%Nonparametric testing of the existence of modes.
%\emph{Ann. Statist.}, \bold{25}(4):1646-1660.
%
%\item Futschik A. (1999).
%A new estimate of the mode based on the quantile density.
%\emph{Statistics and Probability Letters}, \bold{43}:145-152.
%
\item Leclerc J. (2000).
Strong limiting behavior of two estimates of the mode: the shorth and the naive estimator.
\emph{Statistics and Decisions}, \bold{18}(4).
%\item Groeneboom P.and Wellner J.A. (2001).
%Computing Chernoff's distribution.
%\emph{J. Comput. Graph. Statist.}, \bold{10}:388-400.
%
\item Shoung J.M. and Zhang C.H. (2001).
Least squares estimators of the mode of a unimodal regression function.
\emph{Ann. Statist.}, \bold{29}(3):648-665.
\item Bickel D.R. (2002).
Robust estimators of the mode and skewness of continuous data.
\emph{Computational Statistics and Data Analysis}, \bold{39}:153-163.
\item Abraham C., Biau G. and Cadre B. (2003).
Simple Estimation of the Mode of a Multivariate Density.
\emph{Canad. J. Statist.}, \bold{31}(1):23-34.
\item Bickel D.R. (2003).
Robust and efficient estimation of the mode of continuous data: The mode as a viable measure of central tendency.
\emph{J. Statist. Comput. Simul.}, \bold{73}:899-912.
\item Djeddour K., Mokkadem A. et Pelletier M. (2003).
Sur l'estimation recursive du mode et de la valeur modale d'une densite de probabilite.
\emph{Technical report 105}.
\item 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.
\emph{Technical report 106}.
\item Hedges S.B. and Shah P. (2003).
Comparison of mode estimation methods and application in molecular clock analysis.
\emph{BMC Bioinformatics}, \bold{4}:31-41.
%\item Ziegler K. (2003).
%On the asymptotic normality of kernel regression estimators of the mode in the nonparametric random design model.
%\emph{Journal of Statistical Planning and Inference}, \bold{115}:123-144.
%
\item Herrmann E. and Ziegler K. (2004).
Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions.
\emph{Statistics and Probability Letters}, \bold{68}:359-368.
\item Abraham C., Biau G. and Cadre B. (2004).
On the Asymptotic Properties of a Simple Estimate of the Mode.
\emph{ESAIM Probab. Stat.}, \bold{8}:1-11.
\item Mokkadem A. and Pelletier M. (2005).
Adaptive Estimation of the Mode of a Multivariate Density.
\emph{J. Nonparametr. Statist.}, \bold{17}(1):83-105.
\item Bickel D.R. and Fruehwirth R. (2006).
On a Fast, Robust Estimator of the Mode: Comparisons to Other Robust Estimators with Applications.
\emph{Computational Statistics and Data Analysis}, \bold{50}(12):3500-3530.
}
}
\keyword{ distribution }
\keyword{ univar }
\keyword{ robust }
\keyword{ nonparametric }
\seealso{ \code{\link[modeest]{mlv}} for general mode estimation.
}
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