On the invariance principle for differentiable statistical functionals

William C. Parr

Statistics & Probability Letters, 1983, vol. 1, issue 6, 291-293

Abstract: Sup-norm differentiability of a statistical functional T is shown to be a sufficient condition for invariance principles for T. Application of the result to repeated significance testing is sketched.

Keywords: Differentiable; statistical; functionals; invariance; principle; martingales; repeated; significance; tests (search for similar items in EconPapers)
Date: 1983
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