Power Generalized DUS Transformation of Exponential Distribution
Beenu Thomas, Chacko V M
TL;DR
This paper introduces a new exponential distribution model derived from DUS transformation, analyzes its properties, estimates parameters via maximum likelihood, and validates its fit with real data.
Contribution
It proposes a novel distribution based on DUS transformation of the exponential distribution, expanding modeling options for lifetime data.
Findings
The new distribution's properties are thoroughly analyzed.
Maximum likelihood estimation is used for parameter inference.
Real data analysis confirms the model's good fit.
Abstract
DUS transformation of lifetime distributions received attention by engineers and researchers in recent years. The present study introduces a new class of distribution using exponentiation of DUS transformation. A new distribution using the Exponential distribution as the baseline distribution in this transformation is proposed. The statistical properties of the proposed distribution have been examined and the parameter estimation is done using the method of maximum likelihood. The fitness of the proposed model is established using real data analysis.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Probabilistic and Robust Engineering Design · Reliability and Maintenance Optimization