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, ...

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

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 ...

The below distribution of random variates were simulated using MATLAB routines and the envelope rejection methods. The simulated distributions are: 1. Normal distribution with mean = 2 and variance =2 ...

In this study, the fractional sine-Gordon model in the time-dependent variable domain using Caputo non-integer order basis derivative is presented. The main purpose is to utilize the adaptation of ...

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 ...