File:Absolute bounds on the mean and standard deviation of transformed data for constant-derivative transformations (IA absoluteboundson84006rowe).pdf

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Absolute bounds on the mean and standard deviation of transformed data for constant-derivative transformations   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
Rowe, Neil C.
image of artwork listed in title parameter on this page
Title
Absolute bounds on the mean and standard deviation of transformed data for constant-derivative transformations
Publisher
Monterey, California : Naval Postgraduate School
Description
Title from cover
"Prepared for: Chief of Naval Research"--Cover
"April 1984"--Cover
"NPS52-84-006"--Cover
Author(s) key words: Transformations, statistic bounds, mean, standard deviation, function approximation, production systems, exploratory data analysis, estimation, nonparametric estimation, inequalities, antisampling
Includes bibliographical references (p. 38-39)
Technical report; 1984
We investigate absolute bounds (or inequalities) on the mean and standard deviation of transformed data values, given only a few statistics on the original set of data values. Our work applies primarily to transformation functions whose derivatives are constant-sign for a positive range (e.g. logarithm, antilog, square root, and reciprocal). With such functions we can often get reasonably tight absolute bounds, so that distributional assumptions about the data needed for confidence intervals can be eliminated. We investigate a variety of methods of obtaining such bounds, first examining bounding curves which are straight lines, them those that are quadratic polynomials. While the problem of finding the best quadratic bound is an optimization problem with no closed-form solution, we display a variety of closed-form quadratic bounds which can come close to the optimal solution. We emphasize what can be done with prior knowledge of the mean and standard deviation of the untransformed data values, but do address some other statistics too. (Author)
aq/aq cc:9116 08/07/98
kmc/kmc 10/28/09

Subjects: ZILOG Z8000 (MICROPROCESSER)--PROGRAMMING.; COMPUTER SIMULATION.; PROGRAMMING LANGUAGES (ELECTRONIC COMPUTERS)
Language en_US
Publication date April 1984
publication_date QS:P577,+1984-04-00T00:00:00Z/10
Current location
IA Collections: navalpostgraduateschoollibrary; fedlink; americana
Accession number
absoluteboundson84006rowe
Authority file  OCLC: 1038732569
Source
Internet Archive identifier: absoluteboundson84006rowe
https://archive.org/download/absoluteboundson84006rowe/absoluteboundson84006rowe.pdf

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This work is in the public domain in the United States because it is a work prepared by an officer or employee of the United States Government as part of that person’s official duties under the terms of Title 17, Chapter 1, Section 105 of the US Code. Note: This only applies to original works of the Federal Government and not to the work of any individual U.S. state, territory, commonwealth, county, municipality, or any other subdivision. This template also does not apply to postage stamp designs published by the United States Postal Service since 1978. (See § 313.6(C)(1) of Compendium of U.S. Copyright Office Practices). It also does not apply to certain US coins; see The US Mint Terms of Use.
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