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Fitting continuous probability density functions over [0, \infty ) using information theory ideas (Corresp.)

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2 Author(s)

The problem of estimating a probability density functionp(x)over[0, infty)when several low-order moments are known is considered. A computational procedure, based on information theory, is used to obtain the maximum entropy estimates ofp(x)in a number of cases. The situation when the first two moments only are known is considered in some detail. A table is included for estimatingp(x)when givenmu_1 ^{prime} , mu_2 ^{prime}withmu_2 ^{prime} leq 2(mu_1 ^{prime}) ^ 2.

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Information Theory, IEEE Transactions on  (Volume:16 ,  Issue: 2 )