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ACM Algorithm 395: Student's t-distribution

Published: 01 October 1970 Publication History
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References

[1]
GOSSET, W. S. (Student). On the probable error of a mean. Biometrika 6 (1908), 1.
[2]
HILL, G. W., AND DAVIS, A. W. Generalized asymptotic expansions of Cornish-Fisher type. Ann. Math. Statist. 39, 4(1968), 1264.
[3]
HILL, G. W. Progress results on asymptotic approximations for Student's t. Unpublished manuscript, Oct. 1969.
[4]
FISHER, R. A. Expansion of "Student's" integral in powers of n-L Metron, 5 (1926), 109-112.
[5]
MoRRis, J. Algorithm 321, t-test. Comm. ACM 11 (Feb. 1968), 115.
[6]
ABRAMOWITZ, M., AND STEGUN, I. A. (Eds.) Handbook of Mathematical Functions. Appl. Math. Ser. Vol. 55, Nat. Bur. Stand., US Govt. Printing Off., Washington, D.C., 1965, p. 948.
[7]
LEVINE, D. A. Algorithm 344, Student's t-distribution. Comm. ACM 12 (Jan. 1969), 37.
[8]
IBBETSON, D. Algorithm 209, Gauss. Comm. A CM 6 (Oct. 1963), 616.
[9]
HILL, I. D., AND JOYCE, S. A. Algorithm 304, Normal. Comm. ACM 10 (June 1967), 374.
[10]
SMIRNOV, N.V. Tables for the Distribution and Density Functions of t-Distribution. Pergamon Press, New York, 1961.
[11]
HILL, G. W. Algorithm 395, Student's t-distribution Comm. ACM 18 (Oct. 1970), 617--618.
[12]
HILL, G.W. Progress results on asymptotic approximations for Student's t. Unpublished manuscript, Oct. 1969.
[13]
FISHER, R. A., AND YATES, F. Statistical Tables for Biological Agricultural and Medical Research. Oliver and Boyd, London.
[14]
SmRNOV, N.V. Tables for the Distribution and Density Functions of t-Distribution. Pergamon Press, New York, 1961.
[15]
FEDERIGHI, E .T . Extended tables of the percentage points of Student's t-distribution. J. Amer. Stat. Assoc. 554 (1959), 683-688.
[16]
CHANG, S. K., AND GILL, A. Algorithmic solution of the change-making problem. J. ACM 17 (Jan. 1970) 113-122
[17]
BERGE, C., AND GHOUILA-HouRI, A. Programmes, Jeux et Reseaux de Transport. Dunod, Paris, 1962, pp. 179-182.
[18]
BERGE, C., AND GHOUILA-HouRI, A. Programming, Games and Transportation Networks. Methuen, London, and Wiley, New York, 1965, pp. 177-180.
[19]
KRUSKAL, J. B., JR. On the shortest spanning subtree of a graph and the travelling salesman problem. Proc. Amer. Math. Soc. 7 (1956) 48--50.
[20]
OBRUCA, A. Algorithm 1. Mintree. Computer Bull. (Sept. 1964) 67.
[21]
KNUTH, D .E . The Art of Computer Programming, Vol I Fundamental Algorithms. Addison-Wesley, Reading, Mass., 1968. pp. 370-371.
[22]
BAUER, F. L. Algorithm 60, Romberg integration. Comm. ACM 4 (June 1961), 255.
[23]
FAINWEATHER, G. Algorithm 351, Modified Romberg quadrature. Comm. ACM 12 (June 1969), 324-325.
[24]
KRASUN, A. M., AND PRAGEH, W. Remark on Romberg quadrature. Comm. ACM 8 (Apr. 1965), 236-237.
[25]
NUBIK, R.N. Algorithm 257, Havie integrator. Comm. ACM 8 (June 1965), 381.
[26]
PERLIS, A. J ., AND SAMELSON, K. Preliminary report-international algebraic language. Comm. ACM 1 (Dec. 1958), 8-22.
[27]
RUTISHAUSER, H. Description of Algol 60. In Handbook for Automatic Computation, Vol. 1. Springer-Verlag, New York, 1967, Parta, pp. 105-106.

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cover image Communications of the ACM
Communications of the ACM  Volume 13, Issue 10
Oct. 1970
127 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/355598
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 01 October 1970
Published in CACM Volume 13, Issue 10

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  1. approximation
  2. asymptotic expansion
  3. distribution function
  4. students t-statistic

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Cited By

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  • (2009)Biogeography-based optimization combined with evolutionary strategy and immigration refusalProceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics10.5555/1732323.1732493(997-1002)Online publication date: 11-Oct-2009
  • (2008)Accurate and scalable simulation of network of heterogeneous sensor devicesJournal of Signal Processing Systems10.1007/s11265-007-0113-250:2(115-136)Online publication date: 1-Feb-2008
  • (2007)Supporting exception handling for futures in JavaProceedings of the 5th international symposium on Principles and practice of programming in Java10.1145/1294325.1294349(175-184)Online publication date: 5-Sep-2007
  • (1972)The production of better mathematical softwareCommunications of the ACM10.1145/361454.36149015:7(611-617)Online publication date: 1-Jul-1972
  • (1970)Algorithm 396: Student's t-quantilesCommunications of the ACM10.1145/355598.36277613:10(619-620)Online publication date: 1-Oct-1970
  • (1970)Algorithm 396: Student's t-QuantilesCommunications of the ACM10.1145/355598.35560013:10(619-620)Online publication date: 1-Oct-1970

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