Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 6

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Are continuous mappings preserving normality necessarily linear?

100%
Wesołowski J.
Applicationes Mathematicae
|
1996-1997
|
tom 24
|
nr 1
109-112
EN
An example of a normal nonlinear continuous function of a normal random variable is given. Also the Cauchy case is considered.
2
Content available remote

Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone

100%
Wesołowski J.
Studia Mathematica
|
2007
|
tom 179
|
nr 3
263-275
EN
It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.
3
Content available remote

Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices

64%
Bobecka K., Wesołowski J.
Annales Polonici Mathematici
|
2003
|
tom 82
|
nr 1
1-7
EN
We solve the multiplicative Cauchy equation for real functions of symmetric positive definite matrices under the differentiability restriction. The specialty of the problem lies in the symmetry of the multiplication.
4
Content available remote

Infinitesimal generators for a class of polynomial processes

64%
Bryc W., Wesołowski J.
Studia Mathematica
|
2015
|
tom 229
|
nr 1
73-93
EN
We study the infinitesimal generators of evolutions of linear mappings on the space of polynomials, which correspond to a special class of Markov processes with polynomial regressions called quadratic harnesses. We relate the infinitesimal generator to the unique solution of a certain commutation equation, and we use the commutation equation to find an explicit formula for the infinitesimal generator of free quadratic harnesses.
5
Content available remote

Fixed precision optimal allocation in two-stage sampling

64%
Niemiro W., Wesołowski J.
Applicationes Mathematicae
|
2001
|
tom 28
|
nr 1
73-82
EN
Two-stage sampling schemes arise in survey sampling, especially in situations when the complete update of the frame is difficult. In this paper we solve the problem of fixed precision optimal allocation in two special two-stage sampling schemes. The solution is based on reducing the original question to an eigenvalue problem and then using the Perron-Frobenius theorem.
6
Content available remote

The Lukacs-Olkin-Rubin theorem without invariance of the "quotient"

64%
Bobecka K., Wesołowski J.
Studia Mathematica
|
2002
|
tom 152
|
nr 2
147-160
EN
The Lukacs theorem is one of the most brilliant results in the area of characterizations of probability distributions. First, because it gives a deep insight into the nature of independence properties of the gamma distribution; second, because it uses beautiful and non-trivial mathematics. Originally it was proved for probability distributions concentrated on (0,∞). In 1962 Olkin and Rubin extended it to matrix variate distributions. Since that time it has been believed that the fundamental reason such an extension is possible, is the assumed property of invariance of the distribution of the "quotient" (properly defined for matrices). The main result of this paper is that the matrix variate Lukacs theorem holds without any invariance assumption for the "quotient". The argument is based on solutions of some functional equations in matrix variate real functions, which seem to be of independent interest. The proofs use techniques of differential calculus in the cone of positive definite symmetric matrices.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.