This paper provides an overview of results pertaining to moment convergence for certain ratios of random variables involving sums, order statistics and extreme terms in the sense of modulus. Most of the literature on this matter originates from Darling (1952) who gave a criterion for the convergence in probability to 1 of the ratio of the maximum to the sum in case of nonnegative random variables
Abstract In this paper, we study the ratios of order statistics based on samples drawn from uniform ...
Abstract: We study the almost sure convergence and rates of weighted sums of associated random varia...
AbstractIn this article we study the distribution of the maximum of random variables till the corres...
This paper provides an overview of results pertaining to moment convergence for certain ratios of ra...
This paper provides an overview of results pertaining to moment convergence for certain ratios of ra...
For a sequence of independent non-identically distributed random variables with positive means, rate...
Let (Xn)n[epsilon] be a sequence of real, independent, not necessarily identically distributed rando...
We present results of the asymptotics of the mean and variance of the ratio of sums of random variab...
We present results of the asymptotics of the mean and variance of the ratio of sums of random variab...
Series expansions of moments of order statistics are obtained from expansions of the inverse of the ...
AbstractSeries expansions of moments of order statistics are obtained from expansions of the inverse...
Ratios of random variables often appear in probability and statistical applications We aim to approx...
X1,n ≥... ≥ Xn,n non-increasing rearrengement of X1,...,Xn. If n clear from context, X1,n,...,Xn,n d...
AbstractLet (Xn)nϵN be a sequence of real, independent, not necessarily identically distributed rand...
In the paper we extend and generalize some results of complete moment convergence results (or the re...
Abstract In this paper, we study the ratios of order statistics based on samples drawn from uniform ...
Abstract: We study the almost sure convergence and rates of weighted sums of associated random varia...
AbstractIn this article we study the distribution of the maximum of random variables till the corres...
This paper provides an overview of results pertaining to moment convergence for certain ratios of ra...
This paper provides an overview of results pertaining to moment convergence for certain ratios of ra...
For a sequence of independent non-identically distributed random variables with positive means, rate...
Let (Xn)n[epsilon] be a sequence of real, independent, not necessarily identically distributed rando...
We present results of the asymptotics of the mean and variance of the ratio of sums of random variab...
We present results of the asymptotics of the mean and variance of the ratio of sums of random variab...
Series expansions of moments of order statistics are obtained from expansions of the inverse of the ...
AbstractSeries expansions of moments of order statistics are obtained from expansions of the inverse...
Ratios of random variables often appear in probability and statistical applications We aim to approx...
X1,n ≥... ≥ Xn,n non-increasing rearrengement of X1,...,Xn. If n clear from context, X1,n,...,Xn,n d...
AbstractLet (Xn)nϵN be a sequence of real, independent, not necessarily identically distributed rand...
In the paper we extend and generalize some results of complete moment convergence results (or the re...
Abstract In this paper, we study the ratios of order statistics based on samples drawn from uniform ...
Abstract: We study the almost sure convergence and rates of weighted sums of associated random varia...
AbstractIn this article we study the distribution of the maximum of random variables till the corres...
DOI
Add to ORKG