Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Probability and Mathematical Statistics

2 2005

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: almost sure limit theorem

Sortuj według:

Ogranicz wyniki do:

Almost sure limit theorems for semi-selfsimilar processes

Fazekas I., Rychlik Z.

Probability and Mathematical Statistics

2005

Vol. 25, Fasc. 2

241--255

An integral analogue of the almost sure limit theorem is presented for semi-selfsimilar processes. In the theorem, instead of a sequence of random elements, a continuous time random process is involved; moreover, instead of the logarithmical average, the integral of delta-measures is considered. Then the theorem is applied to obtain almost sure limit theorems for semistable processes. Discrete versions of the above theorems are proved. In particular, the almost sure functional limit theorem is obtained for semistable random variables.

A note on the almost sure convergence of central order statistics

Hörmann S.

Probability and Mathematical Statistics

2005

Vol. 25, Fasc. 2

317--329

We prove almost sure versions of distributional limit theorems for central order statistics. We develop a new method which not only gives a simplified proof of existing results in the literature, but also extends them for general summation methods, leading to considerably sharper results.