Environmetrics · 2004 · 11 citations · 17 references
Public HealthBiostatisticsMathematicsStatistical ComputingStatisticsSurvival AnalysisInferential StatisticsLikelihood EstimationMaximum Likelihood EstimationMissing Data ComputationStatistical AnalysisStatistical InferenceCensored Data AnalysisCensored Data ModelingCensored DistributionsDetection Limit AnalysisDetection Limit EstimationEstimation Under CensoringLeft-censored Data AnalysisMaximum Likelihood Inference
Abstract This article is concerned with the estimation of the mean μ and standard deviation σ utilizing a singly‐left‐censored sample of normally distributed data having a known detection limit (DL). A new computer algorithm for obtaining the Cohen ( 1959 ) maximum likelihood estimates of μ and σ is provided which does not require auxiliary tables. The algorithm utilizes S‐PLUS or R languages. Closed form estimates of the mean and standard deviation obtained under a new replacement method are given for normally distributed left‐censored samples, which appear to be superior to existing replacement method estimates. The replacement method estimates are based on replacing the left‐censored observations by a non‐constant value. The performances of these methods are compared utilizing many simulated data sets. Copyright © 2004 John Wiley & Sons, Ltd.
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Statistical Methods for Environmental Pollution Monitoring.
R. O. Gilbert · Biometrics · 1988 · 1.8K citations