Advertisement

Applications of Mathematical Expectation

  • Enders A. Robinson

Abstract

The idea of an average is especially pertinent to the subject of random variables and readily lends itself to broad development. By the ordinary rule, the arithmetic average of a set of N numbers x 1, x 2, x N is obtained by computing their sum and then dividing by N; that is, \(\bar x\) = (x 1 + x 2 + ··· + x N )/N. Now since it is not necessary that these numbers all be different, let us suppose, in general, that there are n distinct values, x 1, x 2, •••, x n respectively occurring N 1, N 2, •••, N n times, where N 1 + N 2 + ••• + N n = N. Then the sum of the N numbers could be found by adding up the products N 1 x 1 N 2 x 2, •••, N n x n and the arithmetic average would be obtained by dividing the result by N.

Keywords

Probability Density Function Mathematical Expectation Expected Profit Profit Function Unimodal Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1985

Authors and Affiliations

  • Enders A. Robinson

There are no affiliations available

Personalised recommendations