A method for computing the circular coverage function
Authors:
A. R. DiDonato and M. P. Jarnagin
Journal:
Math. Comp. 16 (1962), 347-355
MSC:
Primary 62.10
DOI:
https://doi.org/10.1090/S0025-5718-1962-0148161-0
MathSciNet review:
0148161
Full-text PDF Free Access
References | Similar Articles | Additional Information
- H. E. Daniels, The covering circle of a sample from a circular normal distribution, Biometrika 39 (1952), 137–143. MR 47986, DOI https://doi.org/10.1093/biomet/39.1-2.137
- N. G. de Bruijn, Asymptotic methods in analysis, Bibliotheca Mathematica, Vol. IV, North-Holland Publishing Co., Amsterdam; P. Noordhoff Ltd., Groningen; Interscience Publishers Inc., New York, 1958. MR 0099564
- A. R. DiDonato and M. P. Jarnagin, Integration of the general bivariate Gaussian distribution over an offset circle, Math. Comp. 15 (1961), 375–382. MR 129116, DOI https://doi.org/10.1090/S0025-5718-1961-0129116-8 A. R. DiDonato & M. P. Jarnagin, A Method for Computing the Generalized Circular Error Function and the Circular Coverage Function, NWL Report 1768, U. S. Naval Weapons Laboratory, Dahlgren, Virginia, 23 January 1962. R. V. Esperti, Tables of the Elliptical Normal Probability Function, Defense Systems Division, General Motors Corporation, Warren, Michigan, 6 April 1960. H. E. Fettis, Some Mathematical Identities and Numerical Methods Relating to the Bivariate Normal Probability for Circular Regions, WADC Technical Note 57-383, ASTIA Document No. AD142135, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio, December, 1957. H. H. Germond, The Circular Coverage Function, RAND Corporation Research Memorandum RM-330, 26 January 1950. A. Gray, G. B. Mathews & T. M. MacRobert, A Treatise on Bessel Functions and Their Applications to Physics, Second Edition, The Macmillan Co., New York and London, 1922.
- William C. Guenther, Circular Probability Problems, Amer. Math. Monthly 68 (1961), no. 6, 541–544. MR 1531263, DOI https://doi.org/10.2307/2311145
- H. Leon Harter, Circular error probabilities, J. Amer. Statist. Assoc. 55 (1960), 723–731. MR 144403
- J. R. Lowe, A table of the integral of the bivariate normal distribution over an offset circle, J. Roy. Statist. Soc. Ser. B 22 (1960), 177–187. MR 117826 Offset Circle Probabilities, RAND Corporation Report R-234, 14 March 1952.
- P. B. Patnaik, The non-central $\chi ^2$ and $F$-distributions and their applications, Biometrika 36 (1949), 202–232. MR 34564, DOI https://doi.org/10.2307/2332542 Probability-of-Damage Problems of Frequent Occurrence, OEG Study 626, Operations Evaluation Group, Office of the Chief of Naval Operations, 11 December 1959.
- Harold Ruben, Probability content of regions under spherical normal distributions. I, Ann. Math. Statist. 31 (1960), 598–618. MR 117828, DOI https://doi.org/10.1214/aoms/1177705788 H. Solomon, Distribution of Quadratic Forms-Tables and Applications, Applied Mathematics and Statistics Laboratories Technical Report No. 45, Stanford University, 5 September 1960. Table of Circular Normal Probabilities, Bell Aircraft Corporation Report #02-949-106, June 1956. Reviewed in MTAC, v. 11, 1957, p. 210.
- Harry Weingarten and A. R. DiDonato, A table of generalized circular error, Math. Comp. 15 (1961), 169–173. MR 127563, DOI https://doi.org/10.1090/S0025-5718-1961-0127563-1
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Article copyright:
© Copyright 1962
American Mathematical Society