The limit distribution of the maximal deviation of a spline estimate of a probability density

DOI10.1007/BF01095085zbMath0698.60032MaRDI QIDQ912475

Sh. A. Khashimov, M. S. Muminov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

spline approximationempirical distribution functionfunctional estimation of densityGumbel extreme value distribution type

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Strong limit theorems (60F15) Spline approximation (41A15)

Cites Work

• Unnamed Item
• Sojourns and extremes of Gaussian processes
• A global measure of a spline density estimate
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Asymptotic Independence of the Numbers of High and Low Level Crossings of Stationary Gaussian Processes
• Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes

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