Luc Devroye, Gábor Lugosi, Local Tail Bounds for Functions of Independent Random Variables, The Annals of Probability, Vol. 36, No. 1 (Jan., 2008), pp. 143-159 ...

Characteristic and generating functions. Vector formulation of random variables and their parameters. Mean square estimation and orthogonality principle. Criteria for estimators. Introduction to ...

This article provides an alternative method of finding the distribution of a function of one or more random variables using the Dirac generalized function. Unlike the conventional change-of-variable ...

Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws ...

Introduction to the theories of probability and random variables, and their applications in the analysis and modelling of engineering systems. Topics include: a review of probability and random ...

Functions of Random Variables. Monte Carlo Simulation in R. Joint distributions and joint moments. Marginal and conditional densities. Independence, covariance and correlation. Sums of random ...

In the first part, participants will get to learn the following modules: Introduction to data science, basic calculations with R Software and probability theory, probability theory and random ...

Nonparametric methods provide a flexible framework for estimating the probability density function of random variables without imposing a strict parametric model.