Transcription of DENSITY ESTIMATION FOR STATISTICS AND DATA ANALYSIS
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DENSITY ESTIMATION FOR STATISTICS AND DATA ANALYSIS
Published in Monographs on STATISTICS and Applied Probability, London: Chapman and Hall, ESTIMATION FOR STATISTICS AND SilvermanSchool of Mathematics University of Bath, UKTable of ContentsINTRODUCTIONWhat is DENSITY ESTIMATION ? DENSITY estimates in the exploration and presentation of dataFurther readingSURVEY OF EXISTING METHODSI ntroductionHistogramsThe naive estimatorThe kernel estimatorThe nearest neighbour methodThe variable kernel methodOrthogonal series estimatorsMaximum penalized likelihood estimatorsGeneral weight function estimatorsBounded domains and directional dataDiscussion and bibliography1. What is DENSITY ESTIMATION ?Theprobability DENSITY functionis a fundamental concept in STATISTICS . Consider any random quantityXthat has probabilitydensity functionf.
the sudden infant death cases might be a mixture of the control density with a smaller proportion of a contaminating densityof higher mean. Thus it appeared that in a minority (perhaps a quarter to a third) of the sudden deaths, the degranulated mast cell count was exceptionally high. In this example the conclusions could only be regarded as a ...
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