In this paper, we extend Stein’s method to products of independent beta, gamma, generalised gamma and mean zero normal random variables. In particular, we obtain Stein operators for mixed products of ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

theorem 1.3 $text{If } A = A_1 \cup A_2 \cup \cdots \cup A_m \text{ and } A_i \cap A_j = \emptyset \text { for all } i \neq j \text{ , then }$ Definition 1.1 Outcome ...

A continuous random variable is a type of variable that can take on any value within a given range. Unlike discrete random variables, which have a countable number of outcomes, continuous random ...

Overview An introduction to probability and statistics, with practical applications. First section of the course: fundamentals of probability, counting problems, discrete and continuous random ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...

Тhis repository contains notes on statistics and empirical methods from the Sofia University course. It is intended for beginners, who are interested in statistics and wants to develop in this field.