Introduction to probability theory and its applications. Axioms of probability, distributions, discrete and continuous random variables, conditional and joint distributions, correlation, limit laws, ...

A probability density function (PDF) describes the likelihood of different outcomes for a continuous random variable.

Provides a one-semester course in probability and statistics with applications in the engineering sciences. Probability of events, discrete and continuous random variables cumulative distribution, ...

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

Let X 1, X 2, ⋯ be independent identically distributed random variables having a common probability density function f. After a so-called kernel class of estimates f n of f based on X 1, ⋯, X n was ...

In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...