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Empirical Lorenz Processes

1986
We recall the definitions of the theoretical and empirical Lorenz curves LF and Ln in (1.8) and (1.10) respectively, together with that of the empirical Lorenz process ln in (1.13).
Miklós Csörgő   +2 more
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Empirical U-statistics processes

Journal of Statistical Planning and Inference, 1992
Let \(\xi_ 1,\xi_ 2,\dots\) be independent and identically distributed random elements defined on a probability space \((\Omega,{\mathcal E},P)\) with values in a measurable space \(X_ 2\) with \(\sigma\)-field \(\mathcal A\) and let \(h: X^ q\to R^ r\) be an \(({\mathcal A}^ q,{\mathcal B}^ r)\)- measurable mapping \((q,r\in N)\) (\(h\) being ...
Ruymgaart, F.H., Zuijlen, M.C.A. van
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Independence Empirical Processes

1996
Let H be a probability measure on the measurable space (X x y, A x B) with marginal laws P and Q on (X, A) and (y, B), respectively. Given a sample (X 1, Y 1),..., (X n , Y n ) of independently and identically distributed vectors from H, we want to test the null hypothesis of independence H o : H = P x Q versus the alternative hypothesis H 1: H ≠ P x Q.
Aad W. van der Vaart, Jon A. Wellner
openaire   +1 more source

Empirical Processes

2023
A. W. van der Vaart, Jon A. Wellner
openaire   +1 more source

Empirical Processes of Residuals

2002
We review the asymptotic behaviour of the empirical processes of residuals (parameter estimated variables) of independent, identically distributed random variables, ARMA(p, q), ARCH(p) and GARCH(p, q) sequences.
István Berkes, Lajos Horváth
openaire   +1 more source

Molecular imaging in oncology: Current impact and future directions

Ca-A Cancer Journal for Clinicians, 2022
Steven P Rowe, Martin G Pomper
exaly  

Empirical and Rademacher Processes

2011
It should be mentioned that certain measurability assumptions are required in the study of empirical and Rademacher processes.
openaire   +1 more source

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