Estimation of a single parameter of some probability distributions using L2 optimization

TL;DR

This paper introduces a new estimator for the rate parameter of the exponential distribution, analyzes its asymptotic properties, and compares its performance with existing estimators through simulations.

Contribution

The paper presents a novel estimator for the exponential distribution's rate parameter and evaluates its asymptotic behavior and performance against other estimators.

Findings

The proposed estimator has favorable asymptotic properties.

Simulation results show improved accuracy over existing estimators.

The estimator performs well across various sample sizes.

Abstract

We propose a new estimator of a rate parameter of the exponential probability distribution. After obtaining the estimator, its asymptotic properties will be discussed. Simulation studies compare the proposed estimator with other estimators.