We derive some characterizations of probability distributions based on the joint distributions of linear forms of Q-conditional independent random variables.

Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...

Discover what a log-normal distribution is, its financial applications, and how to calculate it, including using Excel for ...

Probability Distribution of a Discrete Random Variable--Each discrete random variable can only assume a finite or countably infinite number of values. If a table is made associating the probability of ...

Probability, statistics, reliability and decision with applications in engineering. Probability of events, discrete and continuous random variables, probability density functions and distributions, ...

Fundamental notions such as random variables, distribution functions and probability density functions facilitate the analysis of both discrete and continuous outcomes.

Random variables, their distributions, means, and variances Probabilistic calculations Inference methods Laws of large numbers and their applications Random processes Syllabus Unit 1 : Probability ...

This comprehensive course bridges the gap between foundational statistical reasoning and practical applications related to business and engineering decision-making. Throughout the course, we’ll ...

Probability Distribution of a Discrete Random Variable--Each discrete random variable can only assume a finite or countably infinite number of values. If a table is made associating the probability of ...