Results 251 to 260 of about 8,257,314 (311)

A Normal Law for the Plug-in Estimator of Entropy

IEEE Transactions on Information Theory, 2012
This paper establishes a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficient condition covers a range of cases with countably infinite alphabets, for which no normality results were previously known.
Zhiyi Zhang
exaly   +2 more sources

On Decomposition of Normal and Poisson Law

Calcutta Statistical Association Bulletin, 1983
Crame'r's and Raikov's theorema for decomposition of Normal and Poisson Variables respectivety into Normal and Poisson Components have been partially extended to dependent (identically distributed) random variables.
Basu, A. K., Ahsanullah, M.
openaire   +2 more sources

A characterization of the normal law

Annals of the Institute of Statistical Mathematics, 1969
IfX, Y, Z are three random observations from a normal population with mean zero then the characteristic function of (X/Z, Y/Z) is exp\(( - \sqrt {t^2 + u^2 } )\). It is shown in this paper that this property characterizes the normal law.
Pakshirajan, R. P., Mohan, N. R.
openaire   +1 more source

A Normal Law for Matchings

COMBINATORICA, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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