Distribution of Renyi Entropy from Nakagami Distribution Sample

EasyChair Preprint 15993

Abstract

This paper rigorously computes the precise quantiles associated with the Maximum Likelihood Estimation (MLE) method for Renyi entropy applied to the Nakagami distribution. Additionally, it approximates the quantiles of the asymptotic distribution of this statistic. Furthermore, the thesis introduces an enhanced version of this statistical measure. Remarkably, even in cases involving small sample sizes, the proposed method provides a formula for determining quantiles based on the chi-square distribution. This approach yields an exact distribution of statistics and reveals key characteristics of the MLE Renyi entropy applied to the Nakagami distribution.This paper rigorously computes the precise quantiles associated with the Maximum Likelihood Estimation (MLE) method for Renyi entropy applied to the Nakagami distribution. Additionally, it approximates the quantiles of the asymptotic distribution of this statistic. Furthermore, the thesis introduces an enhanced version of this statistical measure. Remarkably, even in cases involving small sample sizes, the proposed method provides a formula for determining quantiles based on the chi-square distribution. This approach yields an exact distribution of statistics and reveals key characteristics of the MLE Renyi entropy applied to the Nakagami distribution.

Keyphrases: Asymptotic normality, Fisher information, MLE, Nakagami distribution, Renyi entropy

@booklet{EasyChair:15993,
  author    = {Rama Rasheed and Azeza Al Abdallah and Andaleeb M.Abu Kamel},
  title     = {Distribution of Renyi Entropy from Nakagami Distribution Sample},
  howpublished = {EasyChair Preprint 15993},
  year      = {EasyChair, 2025}}