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Extremes, 2004
Let \(X_i\), \(i\in Z\), be i.i.d. copies of a r.v. with regularly varying survival function \(\overline F(x)=\mathbf{P}\{X_i\geq x\}\). Denote \(\langle a,X\rangle=\sum_i c_iX_i\). The asymptotic expansions for the survival function of \(\langle a,X\rangle\) are investigated of the form \[ \mathbf{P}\{\langle a,X\rangle \geq x\} =\sum_{0\leq i\leq m ...
Barbe, Philippe, Mc Cormick, W.P
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Let \(X_i\), \(i\in Z\), be i.i.d. copies of a r.v. with regularly varying survival function \(\overline F(x)=\mathbf{P}\{X_i\geq x\}\). Denote \(\langle a,X\rangle=\sum_i c_iX_i\). The asymptotic expansions for the survival function of \(\langle a,X\rangle\) are investigated of the form \[ \mathbf{P}\{\langle a,X\rangle \geq x\} =\sum_{0\leq i\leq m ...
Barbe, Philippe, Mc Cormick, W.P
openaire +3 more sources
A weak law for randomly stopped sums of multidlmensionally indexed random variables
Stochastic Analysis and Applications, 1997Let be a sequence of independent random variables a sequence of constants and T Npositive integer-va.lued random variables. In this article we explore convergence in probability for partial sums indexed by T N i.e., sums of the ...
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Regulation of phospholipid distribution in the lipid bilayer by flippases and scramblases
Nature Reviews Molecular Cell Biology, 2023Shigekatzu Nagata
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Towards precision oncology with patient-derived xenografts
Nature Reviews Clinical Oncology, 2022Elena Grassi, Livio Trusolino
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Higher Moments of Randomly Stopped Sums
Theory of Probability & Its Applications, 1966openaire +1 more source
How chemokines organize the tumour microenvironment
Nature Reviews Cancer, 2023Thorsten R Mempel
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Forward-genetics analysis of sleep in randomly mutagenized mice
Nature, 2016Hiromasa Funato +2 more
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