A note on almost sure convergence and convergence in measure
Commentationes Mathematicae Universitatis Carolinae (2014)
- Volume: 55, Issue: 1, page 29-40
- ISSN: 0010-2628
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topKříž, P., and Štěpán, Josef. "A note on almost sure convergence and convergence in measure." Commentationes Mathematicae Universitatis Carolinae 55.1 (2014): 29-40. <http://eudml.org/doc/260791>.
@article{Kříž2014,
abstract = {The present article studies the
conditions under which the almost
everywhere convergence and the
convergence in measure coincide.
An application in the statistical
estimation theory is outlined as
well.},
author = {Kříž, P., Štěpán, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {convergence in measure; almost sure convergence; pointwise compactness; Lusin property; strongly consistent estimators; convergence in measure; almost sure convergence; pointwise compactness; Lusin property; strongly consistent estimators},
language = {eng},
number = {1},
pages = {29-40},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on almost sure convergence and convergence in measure},
url = {http://eudml.org/doc/260791},
volume = {55},
year = {2014},
}
TY - JOUR
AU - Kříž, P.
AU - Štěpán, Josef
TI - A note on almost sure convergence and convergence in measure
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 1
SP - 29
EP - 40
AB - The present article studies the
conditions under which the almost
everywhere convergence and the
convergence in measure coincide.
An application in the statistical
estimation theory is outlined as
well.
LA - eng
KW - convergence in measure; almost sure convergence; pointwise compactness; Lusin property; strongly consistent estimators; convergence in measure; almost sure convergence; pointwise compactness; Lusin property; strongly consistent estimators
UR - http://eudml.org/doc/260791
ER -
References
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