4 papers
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…
Estimating hazard rates from -records in discrete distributions
Martín Alcalde, Miguel Lafuente, F. Javier López +2
This paper focuses on nonparametric statistical inference of the hazard rate function of discrete distributions based on -record data. We derive the explicit expression of the m…
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…