A Suprasystem of Probability Distributions
โ Scribed by Dr. M. A. Savageau
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 370 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
A set of differential equations is described whose solutions represent a general system of probability distribution functions. Previously reported systems of such distribution functions are special cases of this general system. The differential equations can be used to represent distribution functions and generate their related statistics in cases for which no simple formula for the distribution is known. The generality of this suprasystem of distribution functions and its potential utility are discussed.
๐ SIMILAR VOLUMES
Let \(f\) be a continuous map of the compact unit interval \(l=[0,1]\), such that \(f^{2}\), the second iterate of \(f\), is topologically transitive in \(I\). If for some \(x\) and \(y\) in \(I\) and any \(t\) in \(I\) there exists \(\lim (1 / n) \#\left\{i \leqslant n ;\left|f^{i}(x)-f^{i}(y)\righ
We present two techniques for constructing sample spaces that approximate probability distributions. The first is a simple method for constructing the small-bias probability spaces introduced by Naor and Naor. We show how to efficiently combine this construction with the method of conditional probab