Add to ORKGIn this paper, the notion of likelihood ratio, as a measure of the deviation between a sequence of integer-valued random variables and an independent random sequence with Poisson distribution is introduced, and a class of strong laws, expressed by inequalities, on certain sets determined by this notion, are obtained. A class of strong laws for a sequence of independent Poisson random variables are special cases of the results of this paper.Strong law Strong law of large numbers Likelihood ratio Poisson distribution
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
In this paper, with the notion of independent identically distributed ran-dom variables under sub-li...
We consider the logarithm of the likelihood ratio between the sequence of the nonnegative integer va...
Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various stro...
The strong law of the large numbers for U-statistics has been proved for a sequence of independent r...
This thesis presents an up-to-date survey of results concerning laws of large numbers for sequences ...
This note examines the connection between general moment conditions and the applicability of the str...
We obtain strong laws of large numbers for sequences of random variables which are either pairwise p...
Abstract—In This Article We establish moment inequality of dependent random variables,furthermore so...
In this work, we study the almost sure convergence of the averages of certain classes of sequences a...
Abstract. Strong laws are established for linear statistics that are weighted sums of a random sampl...
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are ...
A general method is presented to obtain strong laws of large numbers. Then it is applied for certain...
We obtain strong laws of large numbers for the number of weak records among the first n observations...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
In this paper, with the notion of independent identically distributed ran-dom variables under sub-li...
We consider the logarithm of the likelihood ratio between the sequence of the nonnegative integer va...
Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various stro...
The strong law of the large numbers for U-statistics has been proved for a sequence of independent r...
This thesis presents an up-to-date survey of results concerning laws of large numbers for sequences ...
This note examines the connection between general moment conditions and the applicability of the str...
We obtain strong laws of large numbers for sequences of random variables which are either pairwise p...
Abstract—In This Article We establish moment inequality of dependent random variables,furthermore so...
In this work, we study the almost sure convergence of the averages of certain classes of sequences a...
Abstract. Strong laws are established for linear statistics that are weighted sums of a random sampl...
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are ...
A general method is presented to obtain strong laws of large numbers. Then it is applied for certain...
We obtain strong laws of large numbers for the number of weak records among the first n observations...
Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which ...
ment condition, Banach-space-valued random variable We use our maximum inequality for p-th order ran...
In this paper, with the notion of independent identically distributed ran-dom variables under sub-li...