A length-biased modified power Lindley distribution

Key Points

• This work aims to introduce a modified length-biased power Lindley distribution for better data modeling.
• Developed a modified version of the power Lindley distribution to account for length bias.
• Applied statistical techniques to evaluate the effectiveness of the new distribution in data modeling.
• Conducted comparative analyses with existing distributions to demonstrate improvements.
• The modified distribution outperformed traditional models in fit statistics and predictive accuracy.
• Found a significant improvement in handling length-biased data compared to standard approaches.