Poisson's theorem

Wiesław Dziubdziela; Małgorzata Romanowska

Mathematica Applicanda (1981)

  • Volume: 9, Issue: 17
  • ISSN: 1730-2668

Abstract

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The authors present three methods for proving Poisson's theorem. The first method is based on papers of L. Takács [J. Amer. Statist. Assoc. 62 (1967), 102–113; MR0217832] and J. Galambos [J. Appl. Probab. 11 (1974), 219–222; MR0358923], the second uses results of D. A. Freedman [Ann. Probab. 2 (1974), 256–269; MR0370694] and M. R. Leadbetter [Z. Wahrsch. Verw. Gebiete 28 (1973/74), 298–309; MR0362465], and the third method follows the considerations contained in another paper by Galambos [ibid. 32 (1975), no. 3, 197–207; MR0380941]. The paper contains known theorems but some of the proofs are new.

How to cite

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Wiesław Dziubdziela, and Małgorzata Romanowska. "Poisson's theorem." Mathematica Applicanda 9.17 (1981): null. <http://eudml.org/doc/292895>.

@article{WiesławDziubdziela1981,
abstract = {The authors present three methods for proving Poisson's theorem. The first method is based on papers of L. Takács [J. Amer. Statist. Assoc. 62 (1967), 102–113; MR0217832] and J. Galambos [J. Appl. Probab. 11 (1974), 219–222; MR0358923], the second uses results of D. A. Freedman [Ann. Probab. 2 (1974), 256–269; MR0370694] and M. R. Leadbetter [Z. Wahrsch. Verw. Gebiete 28 (1973/74), 298–309; MR0362465], and the third method follows the considerations contained in another paper by Galambos [ibid. 32 (1975), no. 3, 197–207; MR0380941]. The paper contains known theorems but some of the proofs are new.},
author = {Wiesław Dziubdziela, Małgorzata Romanowska},
journal = {Mathematica Applicanda},
keywords = {Central limit and other weak theorems},
language = {eng},
number = {17},
pages = {null},
title = {Poisson's theorem},
url = {http://eudml.org/doc/292895},
volume = {9},
year = {1981},
}

TY - JOUR
AU - Wiesław Dziubdziela
AU - Małgorzata Romanowska
TI - Poisson's theorem
JO - Mathematica Applicanda
PY - 1981
VL - 9
IS - 17
SP - null
AB - The authors present three methods for proving Poisson's theorem. The first method is based on papers of L. Takács [J. Amer. Statist. Assoc. 62 (1967), 102–113; MR0217832] and J. Galambos [J. Appl. Probab. 11 (1974), 219–222; MR0358923], the second uses results of D. A. Freedman [Ann. Probab. 2 (1974), 256–269; MR0370694] and M. R. Leadbetter [Z. Wahrsch. Verw. Gebiete 28 (1973/74), 298–309; MR0362465], and the third method follows the considerations contained in another paper by Galambos [ibid. 32 (1975), no. 3, 197–207; MR0380941]. The paper contains known theorems but some of the proofs are new.
LA - eng
KW - Central limit and other weak theorems
UR - http://eudml.org/doc/292895
ER -

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