Geodesic
On a Statistical Estimate for the Entropy of a Sequence of Independent Random Variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 3, pp. 361-364

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The mean value and variance are computed for a statistical estimate for the entropy of a sequence of mutually independent random variables having a similar distribution. The estimate is shown to be biased, consistent and asymptotically normal. 
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     author = {G. P. Basharin},
     title = {On a {Statistical} {Estimate} for the {Entropy} of a {Sequence} of {Independent} {Random} {Variables}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {4},
     number = {3},
     year = {1959},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_3_a8/}
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G. P. Basharin. On a Statistical Estimate for the Entropy of a Sequence of Independent Random Variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 3, pp. 361-364. http://geodesic.mathdoc.fr/item/TVP_1959_4_3_a8/