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Publications Influence

A survey of limit laws for bootstrapped sums

- A. Rosalsky
- Mathematics
- 2003

Concentrating mainly on independent and identically distributed (i.i.d.) real-valued parent sequences, we give an overview of first-order limit theorems available for bootstrapped sample sums for… Expand

28 10- PDF

Some general strong laws for weighted sums of stochastically dominated random variables

- A. Adler, A. Rosalsky
- Mathematics
- 1987

For weighted sums, general strong laws of large numbers of the form almost certainly are established where the random variables are stochastically dominated by a random variable are suitable… Expand

57 8

Strong laws of large numbers for weighted sums of random elements in normed linear spaces

- A. Adler, A. Rosalsky, R. Taylor
- Mathematics
- 1989

Consider a sequence of independent random elements {Vn, n > in a real separable normed linear space (assumed to be a Banach space in most of the results), and sequences of con-

50 3- PDF

Strong and Weak Laws of Large Numbers for Double Sums of Independent Random Elements in Rademacher Type p Banach Spaces

- A. Rosalsky, L. Thanh
- Mathematics
- 1 December 2006

Abstract For a double array of independent random elements {V mn , m ≥ 1, n ≥ 1} in a real separable Rademacher type p (1 ≤ p ≤ 2) Banach space, strong and weak laws of large numbers are established… Expand

19 3

On Jiang's asymptotic distribution of the largest entry of a sample correlation matrix

- D. Li, Y. Qi, A. Rosalsky
- Mathematics, Computer Science
- J. Multivar. Anal.
- 13 November 2010

TLDR

15 3- PDF

On complete convergence for arrays of rowwise independent random elements in banach spaces

- T. Hu, A. Rosalsky, D. Szynal, A. Volodin
- Mathematics
- 1999

We extend and generalize some recent results on complete convergence (cf. Hu, Moricz, and Taylor [14], Gut [11], Wang, Bhaskara Rao, and Yang [26], Kuczmaszewska and Szynal [17], and Sung [23]) for… Expand

38 3- PDF

A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces

- A. Adler, A. Rosalsky, A. Volodin
- Mathematics
- 1 March 1997

For weighted sums of the form Sn = [summation operator]j=1kn anj(Vnj - cnj) where {anj, 1[less-than-or-equals, slant]j[less-than-or-equals, slant]kn

20 3

Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions

- A. Cantrell, A. Rosalsky
- Mathematics
- 3 January 2003

Conditions are provided under which a sequence of random elements in a real separable Banach space obeys a general strong law of large numbers. No conditions are imposed on the joint distributions of… Expand

6 3

Laws of Large Numbers

- A. Rosalsky
- Mathematics, Computer Science
- International Encyclopedia of Statistical Science
- 2011

24 2

Some strong limit theorems for the largest entries of sample correlation matrices

- D. Li, A. Rosalsky
- Mathematics
- 1 February 2006

Let $\{X_{k,i};i\geq 1,k\geq 1\}$ be an array of i.i.d. random variables and let $\{p_n;n\geq 1\}$ be a sequence of positive integers such that $n/p_n$ is bounded away from 0 and $\infty$. For… Expand

23 2- PDF