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Author Hora, Stephen C.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Estimation of inverse functions
Abstract A regression method for estimating the inverse of a continuous cumulative probability function F(x) is presented. It is assumed that an ordered sample, X1, …, Xn, of identically and independently distributed random variables is available. A reference distribution F0(x) with known inverse F0-1(p) is used to calculate the quantities Wi = i ln[F0(Xi)/F0(Xi+1)]. These quantities are used to estimate the function γ(p) = pd ln≥F0[F-1(p)]⋦/dp from which an estimate of F-1(p) is derived. The method produces an estimate in a form that is convenient for random variate generation. The procedure is illustrated using data from a study of oil and gas lease bidding.
Description Affiliation: Texas Tech Univ., Lubbock (Hora, Stephen C.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 26
Issue Number 8
Page Count 5
Starting Page 590
Ending Page 594

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Source: ACM Digital Library