Sign regularity of a generalized Cauchy kernel with applications

DOI10.1016/0378-3758(95)00108-5zbMath0848.62006OpenAlexW1982177068MaRDI QIDQ1918225

Axel Munk, Dette, Holger

Publication date: 18 July 1996

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00108-5

zbMATH Keywords

optimal experimental designsgamma distributionsnormal distributionsgeneralized Cauchy kernelscaling parametersvariation-diminishing propertyChebyshev-systemsbeta-distributionscomplete class theoremsexponential-distributionsinterval hypothesesinvariant UMP testsPareto-densitiesPearson-type distributionratio of the variancesscaled \(F\)-distributionsign regularity of distribution familiestotal positivity of Pearson-type distributions

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Characterization and structure theory of statistical distributions (62E10) Uniqueness of best approximation (41A52) Statistical distribution theory (62E99)

Related Items

Tchebycheff-Experiments ⋮ Total positivity of a Cauchy kernel

Uses Software

• GQRAT

Cites Work

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