Convergence properties of MLE's and asymptotic simultaneous confidence intervals in fitting cardinal B-splines for density estimation

DOI10.1016/0167-7152(92)90082-GzbMath0742.62051OpenAlexW2054901247MaRDI QIDQ1186034

Taskin Atilgan, Hamparsum Bozdogan

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90082-g

zbMATH Keywords

EM algorithmdensity estimationasymptotic simultaneous confidence intervalscardinal \(B\)-splinesconvergence properties of the iterative maximum likelihood estimatorsnumber of knots

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Related Items

Convergence rates for uniform b-spline density estimators part ii: multiple dimensions, Bayesian expectation maximization algorithm by using B-splines functions: application in image segmentation, Convergence rates for uniform B-spline density estimators on bounded and semi-infinite domains

Cites Work

• On Polya frequency functions. IV: The fundamental spline functions and their limits
• On Information and Sufficiency
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