Estimation of Weighted Extropy with Focus on Its Use in Reliability Modeling

Area of Science:

• Information Theory
• Statistical Inference

Background:

• Weighted extropy estimation is an under-researched area in statistical literature.
• Existing methods for extropy estimation may not be suitable for weighted distributions.

Purpose of the Study:

• To propose novel non-parametric estimators for weighted extropy.
• To validate and compare the performance of these new estimators.

Main Methods:

• Development of non-parametric estimation techniques for weighted extropy.
• Implementation of simulation studies to assess estimator properties.
• Application to real-world datasets for practical relevance.

Main Results:

• The proposed non-parametric estimators for weighted extropy are presented.
• Simulation results demonstrate the effectiveness and comparative performance of the estimators.
• Data illustration confirms the practical utility of the developed methods.

Conclusions:

• The study successfully introduces and validates new non-parametric estimators for weighted extropy.
• The findings contribute to the limited literature on weighted extropy estimation.
• The demonstrated usefulness on real data suggests practical applicability in various fields.