Quantile-based cumulative Kullback–Leibler divergence

DOI10.1080/02331888.2017.1327534zbMath1390.62067OpenAlexW2617544481MaRDI QIDQ4639145

S. M. Sunoj, Unnikrishnan N. Nair, Paduthol Godan Sankaran

Publication date: 3 May 2018

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2017.1327534

zbMATH Keywords

characterizationsreliability measuresstochastic orderingquantile functioncumulative residual Kullback-Leibler divergence

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Reliability and life testing (62N05)

Related Items (9)

Quantile-based Chernoff distance for truncated random variables ⋮ The ϕ-divergence family of measures based on quantile function ⋮ A quantile-based Tsallis-\(\alpha\) divergence ⋮ Quantile-based cumulative inaccuracy measures ⋮ A quantile-based study on ageing intensity function ⋮ QUANTILE-BASED STUDY OF (DYNAMIC) INACCURACY MEASURES ⋮ Proportional hazards model with quantile functions ⋮ Non-parametric estimation of Kullback-Leibler discrimination information based on censored data ⋮ Quantile Approach of Dynamic Generalized Entropy (Divergence) Measure

Cites Work

• Kullback-Leibler divergence: a quantile approach
• On cumulative residual Kullback-Leibler information
• New classes of Lorenz curves by maximizing Tsallis entropy under mean and Gini equality and inequality constraints
• Quantile-based reliability analysis
• Residual and past entropy in actuarial science and survival models
• Rényi's residual entropy: a quantile approach
• Exponentiality Test Based on the Progressive Type II Censoring via Cumulative Entropy
• Quantile-based cumulative entropies
• Modelling lifetimes by quantile functions using Parzen's score function
• Testing Goodness-of-Fit for Exponential Distribution Based on Cumulative Residual Entropy
• Nonparametric Statistical Data Modeling
• Some properties and applications of cumulative Kullback–Leibler information
• A Dynamic Discrimination Information Based On Cumulative Residual Entropy And Its Properties
• Quantile-Based Reliability Analysis
• On Information and Sufficiency

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