| Authors | Fatemeh Yousefzadeh, |
|---|---|
| Journal | Journal of Mathematical Extension |
| Page number | 1-18 |
| Serial number | 19 |
| Volume number | 1 |
| Paper Type | Full Paper |
| Published At | 2025 |
| Journal Grade | Scientific - promoting |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
Abstract
This study introduces a novel quantile-based approach to measuring Kullback-Leibler divergence, a key statistical distance met- ric. The method allows characterization of KL divergence for general data, Type-I censored variable, and record value data. Furthermore, it establishes connections between the quantile-based KL divergence and various stochastic orderings, providing insights into how probability dis- tributions differ.