Stochastic Comparisons of Poisson and Binomial Random Variables with Their Mixtures

Details

• Personal Author:
  Harner EJ ; Misra N ; Singh H
• Description:
  Motivated by an ecological sampling problem, we compare a Poisson distribution having a fixed mean with a Poisson distribution having a random mean, which has an arbitrary continuous (or discrete) probability distribution. These comparisons are made with respect to the likelihood ratio ordering, simple stochastic ordering, uniform variability ordering and expectation ordering. As a particular case, the mixed Poisson and the Poisson distribution with a fixed mean are compared when both the distributions have the same mean. Similar comparisons are made between the mixed binomial and the binomial distribution having a fixed probability of success. [Description provided by NIOSH]
• Subjects:
  Occupational Health Safety
• Keywords:
  Mathematical-models Statistical-analysis Statistical-quality-control
• ISSN:
  0167-7152
• Document Type:
  Text
• Genre:
  Journal Article
• Place as Subject:
  OSHA Region 3 ; West Virginia
• CIO:
  National Institute for Occupational Safety and Health (NIOSH)
• Division:
  HELD - Health Effects Laboratory Division
• Topic:
  Workplace Safety & Health
• Location:
  North America
• Pages in Document:
  279-290
• Volume:
  65
• Issue:
  4
• NIOSHTIC Number:
  nn:20024193
• Citation:
  Stat Probab Lett 2003 Dec; 65(4):279-290
• Contact Point Address:
  Department of Statistics, West Virginia University, PO Box 6330, Morgantown, WV 26506-6330
• Federal Fiscal Year:
  2004
• Peer Reviewed:
  True
• Source Full Name:
  Statistics & Probability Letters
• Collection(s):
  National Institute for Occupational Safety and Health
• Main Document Checksum:
  urn:sha-512:3435c851c3d53676eebd394e29a9d1f58f71adeddbb6c08b9cb6bea1bcec2982215e7635688b919d23ead73200c048b20f50942a528f676da1424f61d4feb4fc
• Download URL:
  https://stacks.cdc.gov/view/cdc/196133/cdc_196133_DS1.pdf
• File Type:
  [PDF - 230.89 KB ]