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On the placement the applications of mathematics in the mathematical sciences

Jacek Koronacki — 2014

Mathematica Applicanda

More and more signals indicates that the ratio of the community of mathematicians to the above mentioned issues. Until recently, the degrees and a degree in mathematical sciences were to be granted only for their creative contribution to the development of this field. Recently, on the occasion of one of the procedures for granting the academic title, the Council of the Faculty of Mathematics and Mechanics, University of Warsaw stood implicitly (by the outcome of the vote in the proceedings) the...

Recursive probability density estimation

Jacek KoronackiW. Wertz — 1985

Mathematica Applicanda

In the paper a survey of the asymptotic theory of recursive estimation of probability densities is given. Stress is laid on pointwise properties. In particular, asymptotic unbiasedness and consistency under possibly minimal assumptions and the rates of convergence of the mean square error, laws of theiterated logarithm and Berry-Esseen type theorems under suitably stronger assumptions are discussed for the estimators in question. The paper is a slightly modified version of an earlier paper of the...

Do Redaktora:

Jacek KoronackiJan Mielniczuk — 2010

Mathematica Applicanda

Artykuł Ryszarda Zielińskiego, Przedział ufności dla frakcji, opubliko-wany w MATEMATYCE STOSOWANEJ, tom 10/51 2009, wymaga ko-mentarza oraz zmusza nas do postawienia kilku pytań.

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