Almost Sure Behaviour of $U$-Statistics and Von Mises' Differentiable Statistical Functions

The Annals of Statistics ◽

10.1214/aos/1176342675 ◽

1974 ◽

Vol 2 (2) ◽

pp. 387-395 ◽

Author(s):

Pranab Kumar Sen

Keyword(s):

U Statistics ◽

Von Mises ◽

Statistical Functions

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Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177692698 ◽

1972 ◽

Vol 43 (1) ◽

pp. 31-41 ◽

Author(s):

R. G. Miller ◽

Pranab Kumar Sen

Keyword(s):

Weak Convergence ◽

U Statistics ◽

Von Mises ◽

Statistical Functions

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Invariance Principle for U-Statistics and von Mises' Functionals of Weakly Dependent Observations

Theory of Probability and Its Applications ◽

10.1137/s0040585x97980130 ◽

2003 ◽

Vol 47 (4) ◽

pp. 730-733 ◽

Author(s):

O. Sh. Sharipov

Keyword(s):

Invariance Principle ◽

Dependent Observations ◽

U Statistics ◽

Von Mises ◽

Weakly Dependent

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Von Mises Differentiable Statistical Functions

Approximation Theorems of Mathematical Statistics - Wiley Series in Probability and Statistics ◽

10.1002/9780470316481.ch6 ◽

2008 ◽

pp. 210-242

Keyword(s):

Von Mises ◽

Statistical Functions

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A Berry–Esseen Type Estimate for Hilbert Space Valued U-Statistics and On Bootstrapping Von Mises Statistics

stochastic processes and functional analysis ◽

10.1201/9781003067597-17 ◽

2020 ◽

pp. 209-214

Author(s):

V.V. Sazonov

Keyword(s):

Hilbert Space ◽

Type Estimate ◽

U Statistics ◽

Von Mises ◽

Von Mises Statistics

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Limit Theorems for Canonical von Mises and U-Statistics of m-Dependent Observations

Theory of Probability and Its Applications ◽

10.1137/s0040585x97984759 ◽

2011 ◽

Vol 55 (2) ◽

pp. 271-290

Author(s):

N. V. Volodko

Keyword(s):

Limit Theorems ◽

Dependent Observations ◽

U Statistics ◽

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Rate of convergence in the strong law of large numbers for a class of U-statistics and von Mises statistics

Statistics & Probability Letters ◽

10.1016/s0167-7152(96)00034-x ◽

1997 ◽

Vol 31 (3) ◽

pp. 225-231

Author(s):

Tasos C. Christofides

Keyword(s):

Rate Of Convergence ◽

Law Of Large Numbers ◽

U Statistics ◽

Large Numbers ◽

Von Mises ◽

Von Mises Statistics

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Note on Conditions for Weak Convergence of Von Mises' Differentiable Statistical Functions

The Annals of Statistics ◽

10.1214/aos/1176343807 ◽

1977 ◽

Vol 5 (2) ◽

pp. 405-407 ◽

Author(s):

N. Bonner ◽

H.-P. Kirschner

Keyword(s):

Weak Convergence ◽

Von Mises ◽

Statistical Functions

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Probabilities of Large Deviations for U-Statistics and von Mises Functionals

Theory of Probability and Its Applications ◽

10.1137/1135001 ◽

1991 ◽

Vol 35 (1) ◽

pp. 1-14 ◽

Author(s):

A. K. Aleshkevichiene

Keyword(s):

Large Deviations ◽

Probabilities Of Large Deviations ◽

U Statistics ◽

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A large deviation principle form-variate von Mises-statistics and U-statistics

Journal of Theoretical Probability ◽

10.1007/bf02410113 ◽

1995 ◽

Vol 8 (4) ◽

pp. 807-824 ◽

Author(s):

Peter Eichelsbacher ◽

Matthias Löwe

Keyword(s):

Large Deviation Principle ◽

Large Deviation ◽

U Statistics ◽

Deviation Principle ◽

Von Mises ◽

Von Mises Statistics

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Von mises calculus for statistical functions

Advances in Mathematics ◽

10.1016/0001-8708(86)90010-1 ◽

1986 ◽

Vol 60 (1) ◽

pp. 123

Author(s):

Gian-Carlo Rota

Keyword(s):

Von Mises ◽

Statistical Functions

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