Open Access
June, 1976 A Note on Invariance Principles for Induced Order Statistics
Pranab Kumar Sen
Ann. Probab. 4(3): 474-479 (June, 1976). DOI: 10.1214/aop/1176996097


Weak convergence of a sequence of two-dimensional time parameter stochastic processes constructed from partial sums of induced order statistics to a standard Brownian sheet process is established.


Download Citation

Pranab Kumar Sen. "A Note on Invariance Principles for Induced Order Statistics." Ann. Probab. 4 (3) 474 - 479, June, 1976.


Published: June, 1976
First available in Project Euclid: 19 April 2007

zbMATH: 0336.60022
MathSciNet: MR407924
Digital Object Identifier: 10.1214/aop/1176996097

Primary: 60F05

Keywords: Brownian sheets , induced order statistics , Martingales , uniform integrability , weak convergence and Wiener processes

Rights: Copyright © 1976 Institute of Mathematical Statistics

Vol.4 • No. 3 • June, 1976
Back to Top