In Mathematical Statistics, estimation of parameters which index the probability density functions of random variables is an interesting area.The object of estimation is to look for estimators which have 'desirable' properties.It turns out that the lower bounds on the variances of estimators can be used to derive some inequalities.This is illustrated here in connection with Wallis' formula.
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U. L. Gouranga Rao (1966) studied this question.
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