FIDUCIAL INTERVALS FOR DIFFERENCES.

Abstract

A recurring problem at NCEL is estimating the accuracy with which noisy phenomena can be analyzed. Such a problem often arises in the laboratory and in the field when measurements of phenomenon of interest are subject to an additive random background. Treated in this note is the problem of observing a Poisson phenomenon with parameter lambda sub 2 in the presence of Poisson noise, parameter lambda sub 1; so that only occurrences from phenomena with lambda sub 1 and lambda sub 3 = lambda sub 2 + lambda sub 1 as parameters are observable in isolation. A fiducial interval for the noise-free lambda sub 2 is derived and discussed. Numerical tables of results are contained in APPENDIX A. Two similar problems relative to normal phenomena are discussed in APPENDICES B and C. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1968
Accession Number
AD0830056

Entities

People

  • Max L. Eaton
  • Nathan F. Shoemaker
  • Winfred L. Wilcoxson

Organizations

  • Naval Facilities Engineering Service Center

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Additives (Chemicals)
  • Buildings And Structures
  • Intervals
  • Measurement

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Solar Physics
  • Theoretical Analysis.