Confidence limits for lognormal percentiles and for lognormal mean based on samples with multiple detection limits

Details

• Personal Author:
  Krishnamoorthy K ; Xu Z
• Description:
  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. [Description provided by NIOSH]
• Subjects:
  Occupational Health Risk Assessment Safety Software
• Keywords:
  Analytical-models Analytical-processes Author Keywords: Exceedance Probability Computer-models Exposure-levels Exposure-limits Gamma Distribution Left-censored Samples Mathematical-models Non-central T Permissible-concentration-limits Permissible-limits Risk-analysis ROS Method Sampling Statistical-analysis Tolerance Limits

  More +
• ISSN:
  0003-4878
• Document Type:
  Text
• Funding:
  Grant
• Genre:
  Journal Article
• Place as Subject:
  Louisiana ; Maryland ; OSHA Region 3 ; OSHA Region 6
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  495-509
• Volume:
  55
• Issue:
  5
• NIOSHTIC Number:
  nn:20040146
• Citation:
  Ann Occup Hyg 2011 Jun; 55(5):495-509
• Contact Point Address:
  Kalimuthu Krishnamoorthy, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70508-1010, USA
• Email:
  krishna@louisiana.edu
• Federal Fiscal Year:
  2011
• Performing Organization:
  University of Maryland, Baltimore
• Peer Reviewed:
  True
• Start Date:
  20000501
• Source Full Name:
  Annals of Occupational Hygiene
• End Date:
  20150831
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:d0ad141d3f10c3aa50d77a4e545aca5eb909d36823169d31fca02ec7391ff6d159d5cd668aec171649f6a736da3860684cad2c2d5fa4eabc9c704c8735ea6068
• Download URL:
  https://stacks.cdc.gov/view/cdc/193109/cdc_193109_DS1.pdf
• File Type:
  [PDF - 366.12 KB ]