author: "Chapter 3, Lab 1: Solutions" A random variable numerically summarizes the possible outcomes of a random experiment. Formally, a random variable assigns numerical values to the outcomes of a ...

Abstract: Sums of lognormal random variables occur in many wireless communications problems, in part, because a shadowing environment is well modeled by a lognormal distribution. A closed-form ...

The ratio R of two random quantities is frequently encountered in probability and statistics. But while for unidimensional statistical variables the distribution of R can be computed relatively easily ...

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 ...

The binomial distribution models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success. The chi-square distribution is often used in ...

This is a preview. Log in through your library . Sankhya, the Indian Journal of Statistics, aims to publish original, high quality research articles in all areas of statistics, such as theoretical ...

The main property of a discrete joint probability distribution can be stated as the sum of all non-zero probabilities is 1. The next line shows this as a formula. The marginal distribution of X can be ...

Continuous Variable: can take on any value between two specified values. Obtained by measuring. Discrete Variable: not continuous variable (cannot take on any value between two specified values).