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...

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Hauptverfasser:	Eaton, Max L, Shoemaker, Nathan F, Wilcoxson, Winfred L
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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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creator	Eaton, Max L Shoemaker, Nathan F Wilcoxson, Winfred L
description	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)
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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)</description><language>eng</language><subject>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)</subject><creationdate>1968</creationdate><rights>APPROVED FOR PUBLIC RELEASE</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,776,881,27544,27545</link.rule.ids><linktorsrc>$$Uhttps://apps.dtic.mil/sti/citations/AD0830056$$EView_record_in_DTIC$$FView_record_in_$$GDTIC$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Eaton, Max L</creatorcontrib><creatorcontrib>Shoemaker, Nathan F</creatorcontrib><creatorcontrib>Wilcoxson, Winfred L</creatorcontrib><creatorcontrib>NAVAL CIVIL ENGINEERING LAB PORT HUENEME CA</creatorcontrib><title>FIDUCIAL INTERVALS FOR DIFFERENCES</title><description>A recurring problem at NCEL is estimating the accuracy with which noisy phenomena can be analyzed. 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(Author)</description><subject>ACCURACY</subject><subject>Acoustics</subject><subject>BACKGROUND</subject><subject>BACKGROUND NOISE</subject><subject>MATHEMATICAL PREDICTION</subject><subject>NOISE</subject><subject>NUMERICAL METHODS AND PROCEDURES</subject><subject>POISSON DISTRIBUTION</subject><subject>PROBABILITY</subject><subject>RANDOM VARIABLES</subject><subject>SAMPLING</subject><subject>STATISTICAL ANALYSIS</subject><subject>STATISTICAL PROCESSES</subject><subject>Statistics and Probability</subject><subject>TABLES(DATA)</subject><fulltext>true</fulltext><rsrctype>report</rsrctype><creationdate>1968</creationdate><recordtype>report</recordtype><sourceid>1RU</sourceid><recordid>eNrjZFBy83QJdfZ09FHw9AtxDQpz9AlWcPMPUnDxdHNzDXL1c3YN5mFgTUvMKU7lhdLcDDJuriHOHropJZnJ8cUlmXmpJfGOLgYWxgYGpmbGBKQB3o0fbQ</recordid><startdate>196802</startdate><enddate>196802</enddate><creator>Eaton, Max L</creator><creator>Shoemaker, Nathan F</creator><creator>Wilcoxson, Winfred L</creator><scope>1RU</scope><scope>BHM</scope></search><sort><creationdate>196802</creationdate><title>FIDUCIAL INTERVALS FOR DIFFERENCES</title><author>Eaton, Max L ; Shoemaker, Nathan F ; Wilcoxson, Winfred L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-dtic_stinet_AD08300563</frbrgroupid><rsrctype>reports</rsrctype><prefilter>reports</prefilter><language>eng</language><creationdate>1968</creationdate><topic>ACCURACY</topic><topic>Acoustics</topic><topic>BACKGROUND</topic><topic>BACKGROUND NOISE</topic><topic>MATHEMATICAL PREDICTION</topic><topic>NOISE</topic><topic>NUMERICAL METHODS AND PROCEDURES</topic><topic>POISSON DISTRIBUTION</topic><topic>PROBABILITY</topic><topic>RANDOM VARIABLES</topic><topic>SAMPLING</topic><topic>STATISTICAL ANALYSIS</topic><topic>STATISTICAL PROCESSES</topic><topic>Statistics and Probability</topic><topic>TABLES(DATA)</topic><toplevel>online_resources</toplevel><creatorcontrib>Eaton, Max L</creatorcontrib><creatorcontrib>Shoemaker, Nathan F</creatorcontrib><creatorcontrib>Wilcoxson, Winfred L</creatorcontrib><creatorcontrib>NAVAL CIVIL ENGINEERING LAB PORT HUENEME CA</creatorcontrib><collection>DTIC Technical Reports</collection><collection>DTIC STINET</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Eaton, Max L</au><au>Shoemaker, Nathan F</au><au>Wilcoxson, Winfred L</au><aucorp>NAVAL CIVIL ENGINEERING LAB PORT HUENEME CA</aucorp><format>book</format><genre>unknown</genre><ristype>RPRT</ristype><btitle>FIDUCIAL INTERVALS FOR DIFFERENCES</btitle><date>1968-02</date><risdate>1968</risdate><abstract>A recurring problem at NCEL is estimating the accuracy with which noisy phenomena can be analyzed. 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subjects	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)
title	FIDUCIAL INTERVALS FOR DIFFERENCES
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