Large deviation theory for non-regular location shift family

DOI10.1007/S10463-009-0254-0zbMath1230.62016OpenAlexW1983158977MaRDI QIDQ652594

Masahito Hayashi

Publication date: 14 December 2011

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-009-0254-0

zbMATH Keywords

large deviationgamma distributionWeibull distributionbeta distributionnon-regular location shift familyrelative Rényi entropy

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Large deviations (60F10) Statistical aspects of information-theoretic topics (62B10)

Cites Work

• Loss of information of a statistic for a family of non-regular distributions
• Non-regular statistical estimation
• On a theorem of Bahadur on the rate of convergence of point estimators
• Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation
• Rates of Convergence of Estimates and Test Statistics
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