Generation of random numbers using shape preserving quadratic splines

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Generation of random numbers using shape preserving quadratic splines

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ACM Southeast Regional Conference archive
Proceedings of the 16th annual Southeast regional conference table of contents

Atlanta, Georgia

Pages: 216 - 218

Year of Publication: 1978

Authors

D. F. McAllister	N.C. State University
J. A. Roulier	N.C. State University
M. Evans	N.C. State University

Sponsor

ACM: Association for Computing Machinery

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 12, Citation Count: 2

Additional Information:

abstract references cited by collaborative colleagues

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ABSTRACT

Let F be an arbitrary continuous cumulative distribution function of a single variable specified by a finite set of points. A (smooth) increasing quadratic spline is constructed which interpolates the data points and preserves the convexity of the data [2]. The spline is compared with Akima's piecewise cubic approximation [1] for several common distributions F.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Hiroshi Akima, A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures, Journal of the ACM (JACM), v.17 n.4, p.589-602, Oct. 1970 [doi>10.1145/321607.321609]
	2	L. E. Deimel, D. F. McAllister and J. A. Roulier, "Smooth Curve Fitting with Shape Preservation Using Osculatory Quadratic Splines", Proceedings of the Computer Science and Statistics: Eleventh Annual Symposium on the Interface, 1978, pp. 343-347.
	3	V. O. Guerra, R. A. Tapia and J. R. Thompson, "A Random Number Generator for Continuous Random Variables Based on an Interpolation Procedure of Akima", ICSA Technical Report, Rice University, 1972.

CITED BY 2

	David F. McAllister , John A. Roulier, An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline, ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.331-347, Sept. 1981
	D. F. McAllister , J. A. Roulier, Algorithm 574: Shape-Preserving Osculatory Quadratic Splines [E1, E2], ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.384-386, Sept. 1981

Collaborative Colleagues:

D. F. McAllister: colleagues

J. A. Roulier: colleagues

M. Evans: colleagues

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