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An Inequality Satisfied by the Gamma Function
Published online by Cambridge University Press: 20 November 2018
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Gurland [1] by making use of the Cramer-Rao lower bound for the variance of an unbiased estimator obtained the following inequality
1
for real values of α and δ satisfying α+δ>0, α≠0, δ>0. He used the fact that (Γ(δ)Γ(δ+α))xα is an unbiased estimator of θα where θ is the parameter for the density function
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- Copyright © Canadian Mathematical Society 1976
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