Chapter 6

Functions of Random Variables

Abstract

This chapter deals with functions of random variables including linear and power functions of one random variable, moments of functions of one random variable, sums of independent random variables, the maximum and minimum of two independent random variables, two functions of two random variables, laws of large numbers, the central limit theorem, and order statistics.

Keywords

Function of random variables

sum of random variables

maximum of random variables

minimum of random variables

laws of large numbers

central limit theorem

order statistics

6.1 Introduction

The previous chapters discussed basic properties of events defined in a given sample space and the random variables used to represent ...

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