ABSTRACT

References [EM, vol. 5, p. 341]; Abramowitz & Stegun [AS, p. 775]; Szego˝ [Sz], Widder [W, pp. 168-171]; Love [185].

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Laguerre-Samuelson Inequality If a is a positive n-tuple write a = An(a), the expectation, and σ = Qn(a− a), the standard deviation, then

a− σ√n− 1 ≤ ai ≤ a+ σ √ n− 1, 1 ≤ i ≤ n.