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A NONPARAMETRIC ESTIMATE OF A MULTIVARIATE DENSITY FUNCTION



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A Nonparametric Estimate of a Multivariate Density Function Author s D O Loftsgaarden and C P Quesenberry Source The Annals of Mathematical Statistics Vol 36 No 3 Jun 1965 pp 1049 1051 Published by Institute of Mathematical Statistics Stable URL http www jstor org stable 2238216 Accessed 04 03 2009 09 53 Your use of the JSTOR archive indicates your acceptance of JSTOR s Terms and Conditions of Use available at http www jstor org page info about policies terms jsp JSTOR s Terms and Conditions of Use provides in part that unless you have obtained prior permission you may not download an entire issue of a journal or multiple copies of articles and you may use content in the JSTOR archive only for your personal non commercial use Please contact the publisher regarding any further use of this work Publisher contact information may be obtained at http www jstor org action showPublisher publisherCode ims Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission JSTOR is a not for profit organization founded in 1995 to build trusted digital archives for scholarship We work with the scholarly community to preserve their work and the materials they rely upon and to build a common research platform that promotes the discovery and use of these resources For more information about JSTOR please contact support jstor org Institute of Mathematical Statistics is collaborating with JSTOR to digitize preserve and extend access to The Annals of Mathematical Statistics http www jstor org A NONPARAMETRIC ESTIMATE OF A MULTIVARIATE DENSITY FUNCTION BY D 0 LOFTSGAARDENAND C P QUESENBERRY Montana State College 1 Introduction and summary Let xi xn be independent observations X with absolutely conon a p dimensional random variable X X1 tinuous distribution function F x1 x An observation xi on X is xi xii xpi The problem considered here is the estimation of the probability density function f x1 xp at a



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