Sketches on dilation probability distributions

• Autorzy: Wesołowski, J.
• Języki publikacji: EN

Abstrakty

EN

The dilation property allows to define an intriguing family of statistical distributions parameterized by the coefficients of respective dilation equation and the dilation scale. The family includes, except some commonly used probability laws, also a wide range of naturally arising singular distributions, which usually are difficult for statistical analysis. But here due to dilation scheme some progress in developing statistical tools can be expected. The paper describes basic properties of dilation distributions, including an extension of the Kershner-Wintner theorem on infinite Bernoulli convolutions, and indicates possible directions for future studies, including preliminary observations on -tatistical inference.

Słowa kluczowe

EN

dilation equation; singular distributions; infinite convolutions; hypothesis testing; cascade algorithm

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 2
• Strony: 385-402
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Wesołowski, J.

• Faculty of Mathematics and Information Science Warsaw University of Technology pl. Politechniki 1 00-661 Warszawa, Poland,

Bibliografia

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