THE MOMENTS OF A SAMPLED BINOMIALLY DISTRIBUTED VARIABLE.
Abstract
A statistical variable consisting of two compo nents is considered. One cnt has as its density function the universe of the variable; the other component, the distribution of the mean. The use of a two-component variable leads to the introduction of two orders of finite sampling. For the case of a binomially distri buted variable, the theory of moment-generating functions is used to derive equations for the first four moments about an arbitrary origin. The second, third, and fourth moments about the mean are obtained, as well as the moment numbers Beta 1, Beta 2, Gamma 1, and Gamma 2. The detailed steps of the derivations, including underlying assumptions, are given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 02, 1963
- Accession Number
- AD0426894
Entities
People
- H.m. Suski
Organizations
- United States Naval Research Laboratory