28 citations · 64 across the 8 of their papers we have counts for
9 papers
Estimating the tail index of Pareto-type distributions from geometric records
Martín Alcalde, Raúl Gouet, Miguel Lafuente +2
In this paper, we develop a novel inferential approach based on geometric records for estimating the tail index of heavy-tailed distributions. We construct a maximum likelihood est…
Stochastic ordering, attractiveness and couplings in non-conservative particle systems
Raúl Gouet, F. Javier López, Gerardo Sanz
We analyse the stochastic comparison of interacting particle systems allowing for multiple arrivals, departures and non-conservative jumps of individuals between sites. That is, if…
Characterisation of distributions via record-like observations
Raúl Gouet, Miguel Lafuente, F. Javier López +1
We characterise probability distributions via a martingale property associated with a natural generalisation of record values, known as -records. For an independent and identica…
Exact and asymptotic properties of -records in the linear drift model
Raúl Gouet, Miguel Lafuente, F. Javier López +1
The study of records in the Linear Drift Model (LDM) has attracted much attention recently due to applications in several fields. In the present paper we study -records in the L…
Asymptotics of the overflow in urn models
Raul Gouet, Paweł Hitczenko, Jacek Wesołowski
Consider a number, finite or not, of urns each with fixed capacity and balls randomly distributed among them. An overflow is the number of balls that are assigned to urns that…
Minimax convergence rate for estimating the Wasserstein barycenter of random measures on the real line
Jérémie Bigot, Raúl Gouet, Thierry Klein +1
This paper is focused on the statistical analysis of probability measures on that can be viewed as independent realizations of an underlying stoch…
Geodesic PCA in the Wasserstein space
Jérémie Bigot, Raúl Gouet, Thierry Klein +1
We introduce the method of Geodesic Principal Component Analysis (GPCA) on the space of probability measures on the line, with finite second moment, endowed with the Wasserstein me…
Extrapolation of Urn Models via Poissonization: Accurate Measurements of the Microbial Unknown
Manuel Lladser, Raúl Gouet, Jens Reeder
The availability of high-throughput parallel methods for sequencing microbial communities is increasing our knowledge of the microbial world at an unprecedented rate. Though most a…
Asymptotic normality for the counting process of weak records and δ-records in discrete models
Raúl Gouet, F. Javier López, Gerardo Sanz
Let be a sequence of independent and identically distributed random variables, taking non-negative integer values, and call a -record if $X_n>\max\{X_1,...…