Aplikace dvoudimensionální Hellingerovy a Shannonovy kvasinormy

Applications of the Two-Dimensional Hellinger and Shannon Quasi-norm

článek ve sborníku ve WoS nebo Scopus

en

This paper is concerned with the solution to a statistical problem of finding the two-dimensional simultaneous discrete probability distribution of a discrete random vector by minimizing the Hellinger distance and Shannon pseudo-distance with given constraints. The constraints are chosen in a general form using suitable functions linear in unknown probabilities. An economic example is used to illustrate the theoretical results.

This paper is concerned with the solution to a statistical problem of finding the two-dimensional simultaneous discrete probability distribution of a discrete random vector by minimizing the Hellinger distance and Shannon pseudo-distance with given constraints. The constraints are chosen in a general form using suitable functions linear in unknown probabilities. An economic example is used to illustrate the theoretical results. Tento článek je zaměřen na řešení statistického problému nalezení diskrétního dvourozměrného rozdělení pravděpodobnosti minimalizací hellingerovy vzdálenosti a Shannonovy pseudovzdálenosti s danými omezeními. Teoretické výsledky ilustruje ekonomický příklad.

This paper is concerned with the solution to a statistical problem of finding the two-dimensional simultaneous discrete probability distribution of a discrete random vector by minimizing the Hellinger distance and Shannon pseudo-distance with given constraints. The constraints are chosen in a general form using suitable functions linear in unknown probabilities. An economic example is used to illustrate the theoretical results.

Hellinger quasi-norm, Shannon quasi-norm, probability estimations, distribution fitting

2004

01.01.2004

Kunovice

80-7314-025-X

Proceedings of ICSC 2004

6