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, ...

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 ...

Used MATLAB to simulate uniform, normal and exponential distributions for increasing sample sizes. Verified the weak law of natural numbers and central limit theorem by transforming these random ...

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 preview. Log in through your library . Publisher Information The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and ...

Abstract: The particle swarm optimizer algorithm is a bio-inspired optimization principle and a typical swarm intelligence algorithm whose theory base is random theory. Many researchers attempted to ...