Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: summation methods

Sortuj według:

Ogranicz wyniki do:

On the random functional central limit theorems with almost sure convergence for subsequences

Rychlik Z., Szuster K. S.

Demonstratio Mathematica

2012

Vol. 45, nr 2

283-296

In this paper we present functional random sum central limit theorems with almost sure convergence for independent nonidentically distributed random variables. We consider the case where the summation random indices and partial sums are independent. In the past decade several authors have investigated the almost sure functional central limit theorems and related 'logarithmic 'limit theorems for partial sums of independent random variables. We extend this theory to almost sure versions of the functional random sum central limit theorems for subsequences.

On the random functional central limit theorems with almost sure convergence

Orzóg M., Rychlik Z.

Probability and Mathematical Statistics

2007

Vol. 27, Fasc. 1

125--138

In this paper we present functional random-sum central limit theorems with almost sure convergence for independent nonidentically distributed random variables. We consider the case where the summation random indices and partial sums are independent. In the past decade several authors have investigated the almost sure functional central limit theorems and related ‘logarithmic’ limit theorems for partial sums of independent random variables. We extend this theory to almost sure versions of the functional random-sum central limit theorems.

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.