Functional limit theorems for linear statistics from sequential ranks

DOI10.1007/BF00324854zbMath0584.60044MaRDI QIDQ1069552

A. M. Paryanadze, Estate V. Khmaladze

Publication date: 1986

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorfunctional limit theoremslinear statisticssequential ranks

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Asymptotic distributions of weighted compound Poisson bridges ⋮ Asymptotic behaviour of a number of repeated records ⋮ On characterizations of independent identically distributed random variables via order structures ⋮ The change-point problem for dependent observations ⋮ Weak convergence of two-parameter empirical fields in change-point problems ⋮ Unnamed Item ⋮ Nonparametric phase-II monitoring for detecting monotone trend based on inverse sampling

Cites Work

• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
• On the Limit Behaviour of Extreme Order Statistics
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