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Hypergeometrische kansverdeling

Waar komt de naam hypergeometrische kansverdeling vandaan? En waarom wordt het niet kansverdeling zonder teruglegging genoemd?

Gerard
Student hbo - dinsdag 10 januari 2006

Antwoord

De binomiale verdeling heet toch ook niet de 'verdeling met terugleggen', dus waarom zou je dat willen? Ik vind trouwens maar een rare naam 'zonder terugleggen', alsof...
The term HYPERGEOMETRIC CURVE is found in the title "De curva hypergeometrica hac aequatione expressa y=1*2*3*...*x" by Leonhard Euler. The paper was presented in 1768 and published in 1769 in Novi Commentarii academiae scientiarum Petropolitanae.

HYPERGEOMETRIC DISTRIBUTION appears in the title of H. T. Gonin, "The use of factorial moments in the treatment of the hypergeometric distribution and in tests for regression," Philosophical Magazine, 7, Ser. 21, 215-226 (1936).

The name is relatively recent but the distribution first appears as the solution to Problem IV of Huygens’s De Ratiociniis in Ludo Aleae (1657, p. 12). Several people, besides Huygens, solved the problem and James Bernoulli and de Moivre gave solutions for the general case. See Hald (1990, pp. 201-2). At the end of the 19th century Karl Pearson wrote a paper in which he considered fitting the distribution (given by the "hypergeometrical series") to data: "On Certain Properties of the Hypergeometrical Series, and on the Fitting of such Series to Observation Polygons in the Theory of Chance," Philosophical Magazine, 47, (1899), 236-246. [John Aldrich]
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woensdag 11 januari 2006

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