A Note on Invariance Principles for Induced Order Statistics

Pranab Kumar Sen

doi:10.1214/aop/1176996097

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Home > Journals > Ann. Probab. > Volume 4 > Issue 3 > Article

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

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Abstract

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.

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