Intersection of a Sure Ellipsoid and a Random Ellipsoid

Arjun K. Gupta

Abstract


An Expression for the expected value of the intersection of a sure sphere and a random sphere has been derived by Laurent (1974). In the present paper we derive the expression for the expected intersection volume of a sure ellipsoid and a random ellipsoid

Keywords


Expected value; Sure ellipsoid; Random field; Noncentral Chi square distribution; Bessel function

Full Text:

PDF


DOI: http://dx.doi.org/10.18187/pjsor.v8i3.522

Refbacks

  • There are currently no refbacks.




Copyright (c)

Title

Intersection of a Sure Ellipsoid and a Random Ellipsoid

Keywords

Expected value; Sure ellipsoid; Random field; Noncentral Chi square distribution; Bessel function

Description

An Expression for the expected value of the intersection of a sure sphere and a random sphere has been derived by Laurent (1974). In the present paper we derive the expression for the expected intersection volume of a sure ellipsoid and a random ellipsoid

Date

2012-07-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 3, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810