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Un algorithme de calcul de la probabilité qu’une variable de Fisher- Snedecor, a premier degré de liberté impair, excède une valeur donnée. (French) Zbl 0602.65100

An algorithm to compute the probability \(Q(F,\nu_ 1,\nu_ 2)\) of variance-ratio of a Fisher-Snedecor variable with degree of freedom \(\nu_ 1\) and \(\nu_ 2\) is presented. The method consists in a special choice of recurrence with positive members; it is illustrated by tables and computer programs in FORTRAN-77.
Reviewer: S.M.Hrisanov

MSC:

65C99 Probabilistic methods, stochastic differential equations
62E99 Statistical distribution theory
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References:

[1] M. Abramowitz , I.A. Stegun . - Handbook of mathematical functions , Dover Publications Inc. , New-York , 1972 . · Zbl 0543.33001
[2] IMSL Inc. - Mathematical and statistical library package , edition 8 , Houston , 1980 .
[3] B. Laumon . - Une méthode de reconnaissance de formes pour l’estimation d’une variable continue : application à la docimologie . Thèse Docteur-Ingénieur , Lyon I , 1979 , n^\circ 373 .
[4] B. Laumon , D. Tounissoux , D. Balland , M. Terrenoire . - Estimation automatique d’une variable continue à l’aide de variables hétérogènes . Journées d’Informatique médicale , Toulouse , mai 1980 .
[5] M. Lentner . - On the exact calculation of cumulative F probabilities . Comm. Statist. Simula. Computa. , 1976 , B5 ( 4 ), 149 - 154 . Zbl 0371.62029 · Zbl 0371.62029
[6] A.J. Miller . - Cancellation errors in calculating F probabilities . Comm. Statist. Simula. Computa. , 1978 , B7 ( 31 ), 297 - 301 .
[7] NUMERICAL ALGORITHMS GROUP Ltd. - NAG fortran library manual , Mark 8 , Oxford , 1980 .
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