Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

Refine search results

Journals help

  1. 1 Przegląd Statystyczny

Years help

  1. 1 2008

Authors help

  1. 1 Borawski M.

Results found: 1

first rewind previous Page / 1 next fast forward last

Search results

help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1

PSEUDODISTRIBUTION AS A GENERALIZATION OF DISTRIBUTION

100%
Borawski M.
Przegląd Statystyczny
|
2008
|
vol. 55
|
issue 3
71-84
EN
Some properties of the distribution indicate the possibility of treating it analogically to the numbers because of the introduction of addition and multiplication operators. As a addition operator the convolution of two distributions can be used. In such situation it is compulsory to create a fuli set of all elements that can be added using the convolution. The analysis which was conducted is showing, that not all of them are distributions. To use a convolution as an addition operator in the meaning of arithmetical operator it is necessary to generalize the conception of the distribution. In the article the conception of pseudodistribution is introduced. It includes all objects of the created full set. The definition of addition is the entry point for the definition of multiplication. We can distinguish two kinds of multiplication - using the extraction and using the composition. In the classical arithmetic both ways are leading to the same results, but for the distributions they give different results. In the article the way of addition and whole number multiplication for the composition is shown. It enables the multiplication of distributions and rational numbers in the meaning of composition.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.