3 papers
math.ST2026
Estimating the tail index of Pareto-type distributions from geometric records
MartÃn 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…
math.PR2025
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 identic…
math.ST2025
Estimating hazard rates from -records in discrete distributions
MartÃn 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…