Location and scale behaviour of the quantiles of a natural exponential family

DOI10.1051/ps/2019009zbMath1440.62053arXiv1810.11917OpenAlexW2981932044WikidataQ115554287 ScholiaQ115554287MaRDI QIDQ5110220

Gérard Letac, Mauro Piccioni, Bartosz Kołodziejek

Publication date: 18 May 2020

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11917

zbMATH Keywords

quantiles of a distributioncharacterization of normal and gamma lawsDeny equationsone-dimensional exponential families

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Unnamed Item
• The median of an exponential family and the normal law
• Location and Scale Parameters in Exponential Families of Distributions
• Asymptotic Statistics

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