The power divergence and the density power divergence families: the mathematical connection

DOI10.1007/S13571-012-0050-3zbMath1333.62096OpenAlexW2026928451MaRDI QIDQ361226

Leandro Pardo, Sujayendu Patra, Avijit Maji, Ayanendranath Basu

Publication date: 29 August 2013

Published in: Sankhyā. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13571-012-0050-3

zbMATH Keywords

power divergencedensity power divergence

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (7)

The minimum \(S\)-divergence estimator under continuous models: the Basu-Lindsay approach ⋮ The logarithmic super divergence and asymptotic inference properties ⋮ A mixture model-based nonparametric approach to estimating a count distribution ⋮ Projection theorems and estimating equations for power-law models ⋮ Some Universal Insights on Divergences for Statistics, Machine Learning and Artificial Intelligence ⋮ Robust statistical inference based on the \(C\)-divergence family ⋮ Influence function analysis of the restricted minimum divergence estimators: a general form

Cites Work

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• Minimum Hellinger Distance Estimation for the Analysis of Count Data
• Robust and efficient estimation by minimising a density power divergence
• Choosing a robustness tuning parameter
• Statistical Inference

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