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Kybernetika 31(3):221-237, 1995.

The Role of Hájek's Convolution Theorem in Statistical Theory

Rudolf Beran


Abstract:

H�jek's [17] convolution theorem was a major advance in understanding the classical information inequality. This re-examination of the convolution theorem discusses historical background to asymptotic estimation theory; the role of superefficiency in current estimation practice; the link between convergence of bootstrap distributions and convolution structure; and a dimensional asymptotics view of superefficiency.


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BIB TeX

@article{kyb:1995:3:221-237,

author = {Beran, Rudolf},

title = {The Role of Hájek's Convolution Theorem in Statistical Theory},

journal = {Kybernetika},

volume = {31},

year = {1995},

number = {3},

pages = {221-237}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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