expectation example


The contraharmonic mean of several positive numbers u1, u2, , un is defined as

c:=u12+u22++un2u1+u2++un.

This has certain applications; one of them is by [1] the following.

If u1, u2, , un is the distributionPlanetmathPlanetmathPlanetmath of the seats of n parties, s the total number of seats in the body of delegates (u1+u2++un=s), and one draws a random seat (with probability 1/s), then the size of the drawn delegate’s party has the expected value

u1su1+u2su2++unsun=c.

References

  • 1 Caulier, Jean-François: The interpretationMathworldPlanetmathPlanetmath of the Laakso–Taagepera effective number of parties.  – Documents de travail du Centre d’Economie de la Sorbonne (2011.06).
Title expectation example
Canonical name ExpectationExample
Date of creation 2013-11-05 17:59:13
Last modified on 2013-11-05 17:59:13
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 2
Author pahio (2872)
Entry type Example
Classification msc 05A18
Classification msc 26E60
Classification msc 60A05