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Article

Kříž, P. ; Štěpán, J.
A note on almost sure convergence and convergence in measure. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 1, pp. 29-40
MSC: 28A20, 60B05, 60F05, 60F15, 62C10, 62F12 | MR 3160824 | Zbl 06383783
Keywords:
convergence in measure; almost sure convergence; pointwise compactness; Lusin property; strongly consistent estimators
Summary:
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.
References:
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