FIDUCIAL INTERVALS FOR DIFFERENCES

FIDUCIAL INTERVALS FOR DIFFERENCES

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...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Eaton, Max L, Shoemaker, Nathan F, Wilcoxson, Winfred L
Format: Report
Sprache:eng
Schlagworte:
ACCURACY
Acoustics
BACKGROUND
BACKGROUND NOISE
MATHEMATICAL PREDICTION
NOISE
NUMERICAL METHODS AND PROCEDURES
POISSON DISTRIBUTION
PROBABILITY
RANDOM VARIABLES
SAMPLING
STATISTICAL ANALYSIS
STATISTICAL PROCESSES
Statistics and Probability
TABLES(DATA)
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Beschreibung
Zusammenfassung: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)