Confidence Limits for Lognormal Percentiles and for Lognormal Mean Based on Samples with Multiple Detection Limits.

The problem of assessing occupational exposure using the mean or an upper percentile of a lognormal distribution is addressed. Inferential methods for constructing an upper confidence limit for an upper percentile of a lognormal distribution and for finding confidence intervals for a lognormal mean...

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Publicado en:Annals of Occupational Hygiene Vol. 55; no. 5; pp. 495 - 510
Autores principales: Krishnamoorthy, Kalimuthu, Zhao Xu
Formato: equations & formulas research tables/charts Journal Article
Publicado: Oxford University Press / USA Jul2011
Acceso en línea:Ver este registro en EBSCOhost
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        atl: Confidence Limits for Lognormal Percentiles and for Lognormal Mean Based on Samples with Multiple Detection Limits.
      aug:
        au:
          Krishnamoorthy, Kalimuthu
          Zhao Xu
        affil: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70508-1010, USA
      sug:
        subj:
          Occupational Exposure Analysis
          Human
          Reactive Oxygen Species
          Inferential Statistics
          Confidence Evaluation
          Mathematics Methods
      ab: The problem of assessing occupational exposure using the mean or an upper percentile of a lognormal distribution is addressed. Inferential methods for constructing an upper confidence limit for an upper percentile of a lognormal distribution and for finding confidence intervals for a lognormal mean based on samples with multiple detection limits are proposed. The proposed methods are based on the maximum likelihood estimates. They perform well with respect to coverage probabilities as well as power and are applicable to small sample sizes. The proposed approaches are also applicable for finding confidence limits for the percentiles of a gamma distribution. Computational details and a source for the computer programs are given. An advantage of the proposed approach is the ease of computation and implementation. Illustrative examples with real data sets and a simulated data set are given.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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