Moments About the Arithmetic Mean of a Hypergeometric Frequency Distribution
نویسندگان
چکیده
منابع مشابه
On Inequalities for Hypergeometric Analogues of the Arithmetic-geometric Mean
In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the arithmetic-geometric mean established in [10].
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in terms of power means and other related means have precipitated the search for similar bounds for the more general 2F1(α, β; γ; r). In an early paper, B. C. Carlson considered the approximation of the hypergeometric mean values ( 2F1(−a, b; b + c; r)) in terms of means of order t, given by Mt(s, r) := {(1 − s) + s(1 − r)t}1/t. In this note, a refinement of one such approximation is establishe...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1939
ISSN: 0003-4851
DOI: 10.1214/aoms/1177732219