College of Science, Guilin University of Technology, Guilin, China. where (for a given positive integer) this sup is taken over all pairs of nonempty finite subsets such that dist. Obviously and ...

Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...

In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented ...

Consider a set of independent identically distributed random variables indexed by $Z^d_+$, the positive integer $d$-dimensional lattice points, $d \geqq 2$. The ...

This is a study of the convergence of random variables. The simulation of random variables was done using a matlab routine and again using the rejection method. The Acceptance- Rejection method is an ...

This is a preview. Log in through your library . Abstract In this paper we establish maximal inequalities for ρ-mixing sequences and, as a consequence, we obtain the convergence of the expected value ...

ABSTRACT: In [1] and some following publications, Tadmor and Gelb took up a well known property of conjugate Fourier series in 1-d, namely the property to detect jump discontinuities in given spectral ...

Abstract: The article finds conditions for convergence of the functional from the sum sequence of series of independent, equally distributed in each series of random variables with values from N - ...

Simulation of X random variates: The below distribution of random variates were simulated using MATLAB routines and the envelope rejection methods. The simulated distributions are: Normal distribution ...