Geometric Random Sum of Probability Distribution for Summands May Vary Together with Paramater of Geomertric Distribution

EasyChair Preprint 10071

Abstract

This article approaches some results of limit theorems concerning the geometric sums by the operator method. Using the Trotter probability distance base on Trotter operator to give the rates of convergence in the general form of Rényi theorem which was given by Kalashnikov 1997.

Keyphrases: Random summation, Trotter operator, distance measure, geometric sum, probability

@booklet{EasyChair:10071,
  author    = {Hau Tran Ngoc},
  title     = {Geometric Random Sum of Probability Distribution for Summands May Vary Together with Paramater of Geomertric Distribution},
  howpublished = {EasyChair Preprint 10071},
  year      = {EasyChair, 2023}}