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19932026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2016 · math.PRShow all

5 papers · 2 filters

math.PR2016

A law of the iterated logarithm for directed last passage percolation

Michel Ledoux

A law of the iterated logarithm is established for the last passage times of directed percolation on rectangles in the plane over exponential or geometric independent random variab…

math.PR2016

Moderate deviations for bipower variation of general function and Hayashi-Yoshida estimators

Hacène Djellout, Arnaud Guillin, Hui Jiang +1

We consider the moderate deviations behaviors for two (co-) volatility estima-tors: generalised bipower variation, Hayashi-Yoshida estimator. The results are obtained by using a ne…

math.PR2016

The coupon collector urn model with unequal probabilities in ecology and evolution

Noemí Zoroa, Enmanuelle Lesigne, María-José Fernández-Sáez +2

The sequential sampling of populations with unequal probabilities and with replacement in a closed population is a recurrent problem in ecology and evolution. Many of these questio…

math.PR2016★ 7 cited

The maximal drawdown of the Brownian meander

Yueyun Hu, Zhan Shi, Marc Yor

Motivated by evaluating the limiting distribution of randomly biased random walks on trees, we compute the exact value of a negative moment of the maximal drawdown of the standard…

math.PR2016★ 10 cited

A Stein deficit for the logarithmic Sobolev inequality

Michel Ledoux, Ivan Nourdin, Giovanni Peccati

We provide explicit lower bounds for the deficit in the Gaussian logarithmic Sobolev inequality in terms of differential operators that are naturally associated with the so-called…