Quasi-lattice distributions analysis

Algimantas Bikelis

doi:10.15388/lmr.2008.18125

Abstract

n this work we define quasi lattice distributions functions.

Highlights

From this theorem we can conclude that characteristic function f (t) of the discret random variable ξ
A discrete finite generalized measure μ is called m-quasi-lattice if it has the integer finite basis β consisting of m elements
Let the set W1 contains the numbers of form (1), where m = 1, i.e., W1 = βiri: βi ∈ β, ri ∈ Q, i = 1, 2

Summary

Introduction

From this theorem we can conclude that characteristic function f (t) of the discret random variable ξ. Finite or countable set of real numbers β = . .) is called linearly independent over the set of rational numbers if for every k it is true the equality r1β1 + r2β2 + · · · + rkβk = 0, with r1, r2, . Βn) will be called finite, if the set has finite number of elements, otherwise β will be called infinite.

Results

Conclusion