Integral transform methods in goodness-of-fit testing. I: The gamma distributions

DOI10.1007/s00184-019-00749-yzbMath1450.62039arXiv1810.07138OpenAlexW2982630250WikidataQ126861890 ScholiaQ126861890MaRDI QIDQ2202027

Elena Hadjicosta, Donald St. P. Richards

Publication date: 17 September 2020

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07138

zbMATH Keywords

Gaussian processHankel transformLipschitz continuitycontiguous alternativemodified Bessel functionHilbert-Schmidt operatorPitman efficiencyBahadur slopegoodness-of-fit testinggeneralized Laguerre polynomialcontaminated model

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Comments on: ``Tests for multivariate normality -- a critical review with emphasis on weighted \(L^2\)-statistics ⋮ Tests for circular symmetry of complex-valued random vectors ⋮ Integral transform methods in goodness-of-fit testing. II: The Wishart distributions ⋮ Tests for multivariate normality -- a critical review with emphasis on weighted $L^2$-statistics

Uses Software

• R
• DLMF

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