Overview: In probability and statistics, it is important to understand the mean and variance for any random variables. In many applications, it is straightforward to simulate the random variable Y ’s, ...

The MOOCs I learnt myself. The repo is kept as a record for myself. - Mooc/6.431x/Unit 4 Discrete random variables/Lec. 6 Variance; Conditioning on an event; Multiple r.v.'s/L6 exercises.md at master ...

Fuzzy random variable is a measurable mapping from a probability space to a collection of fuzzy variables. The variance is a fundamental concept for fuzzy random variables. Due to the difficulties ...

Analysis of variance (ANOVA) is a statistical analysis tool that separates the total variability found within a data set into two components: random and systematic factors.

This paper presents a comprehensive approach to parameter estimation in generalized Gaussian distributions (GGD) with -proper quaternion random variables, utilizing Maximum Likelihood Estimation (MLE) ...

Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded ...