In this paper we consider several examples of sequences of partial sums of triangular arrays of random variables {X_n: n \geq1}; in each case X_n converges weakly to an infinitely divisible distribution (a Poisson distribution or a centered Normal distribution). For each sequence we prove large deviation results for the logarithmically weighted means { 1/ logn \sum_{k=1}^n =1/k X_k, n\geq 1} with speed function v_n = logn. We also prove a sample path large deviation principle for {X_n: n \geq 1} defined by X_n(·) = \sum_{i=1}^n U_i (σ^2·)/\sqrt n , where σ^2 ∈ (0,∞) and {U_n: n\geq 1} is a sequence of independent standard Brownian motions
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
AbstractIn this paper we consider several examples of sequences of partial sums of triangular arrays...
AbstractIn this paper we consider several examples of sequences of partial sums of triangular arrays...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
In this paper we consider several examples of sequences of partial sums of triangular arrays of ran...
AbstractIn this paper we consider several examples of sequences of partial sums of triangular arrays...
AbstractIn this paper we consider several examples of sequences of partial sums of triangular arrays...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
We consider generalized logarithmic means of some multivariate random variables. We prove two large...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...
In this paper we prove the large deviation principle for a class of weighted means of linear combin...