A functional limit theorem for trimmed sums

DOI10.1016/0304-4149(93)90020-5zbMath0780.60032OpenAlexW2090184833MaRDI QIDQ689469

Yuji Kasahara

Publication date: 30 January 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(93)90020-5

zbMATH Keywords

Brownian bridgefunctional limit theoremKiefer processheavily trimmed sums

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (4)

A note on functional CLT for truncated sums. ⋮ Asymptotic distributions of non-degenerate U-statistics on trimmed samples ⋮ Non-Gaussian limit distributions forU-statistics based on trimmed and Winsorized samples ⋮ On the functional CLT for partial sums of truncated bounded from below random variables

Cites Work

• Unnamed Item
• Limit theorems for trimmed sums
• The asymptotic distribution of the trimmed mean
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

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