activity
20192026
most citedTail Measures and Regular Variation

8 citations · 14 across the 28 of their papers we have counts for

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13 papers · 1 filter

math.ST2026

Survival Isotonic Distributional Regression

Martin Bladt, Alexander Henzi, Bram van den Heuvel +1

We introduce Survival-IDR (S-IDR), a nonparametric estimator of conditional survival distributions under order restrictions, extending Isotonic Distributional Regression (IDR; Henz…

math.ST2026

Local estimation of transition rates of jump processes through discretization

Martin Bladt, Rasmus Frigaard Lemvig

We investigate the Poisson regression method for Markov and semi-Markov jump processes from a nonparametric angle, allowing the lengths of the time and duration intervals in the pa…

math.ST2025

Assessing continuous common-shock risk through matrix distributions

Martin Bladt, Oscar Peralta, Jorge Yslas

We introduce a class of continuous-time bivariate phase-type distributions for modeling dependencies from common shocks. The construction uses continuous-time Markov processes that…

math.ST2025

Non-parametric cure models through extreme-value tail estimation

Jan Beirlant, Martin Bladt, Ingrid Van Keilegom

In survival analysis, the estimation of the proportion of subjects who will never experience the event of interest, termed the cure rate, has received considerable attention recent…

math.ST2025★ 1 cited

Modeling discrete common-shock risks through matrix distributions

Martin Bladt, Eric C. K. Cheung, Oscar Peralta +1

We introduce a novel class of bivariate common-shock discrete phase-type (CDPH) distributions to describe dependencies in loss modeling, with an emphasis on those induced by common…

math.ST2024

Uniform Consistency of Generalized Fréchet Means

Andrea Aveni, Martin Bladt, Sayan Mukherjee

Loss-based notions of centre on nonlinear spaces range from the Fréchet mean and power means to the geometric median and, in a limiting sense, the Chebyshev centre. To use such sum…

math.ST2024

Heterogeneous extremes in the presence of random covariates and censoring

Martin Bladt, Christoffer Øhlenschlæger

The task of analyzing extreme events with censoring effects is considered under a framework allowing for random covariate information. A wide class of estimators that can be cast a…

math.ST2023

Censored extreme value estimation

Martin Bladt, Igor Rodionov

A novel and comprehensive methodology designed to tackle the challenges posed by extreme values in the context of random censorship is introduced. The main focus is on the analysis…

math.ST2023

Conditional Aalen--Johansen estimation

Martin Bladt, Christian Furrer

The conditional Aalen--Johansen estimator, a general-purpose non-parametric estimator of conditional state occupation probabilities, is introduced. The estimator is applicable for…

math.ST2021

Phase-type mixture-of-experts regression for loss severities

Martin Bladt, Jorge Yslas

The task of modeling claim severities is addressed when data is not consistent with the classical regression assumptions. This framework is common in several lines of business with…

math.ST2021

Heavy-tailed phase-type distributions: A unified approach

Martin Bladt, Jorge Yslas

A phase-type distribution is the distribution of the time until absorption in a finite state-space time-homogeneous Markov jump process, with one absorbing state and the rest being…

math.ST2021

Trimmed extreme value estimators for censored heavy-tailed data

Martin Bladt, Hansjoerg Albrecher, Jan Beirlant

We consider estimation of the extreme value index and extreme quantiles for heavy-tailed data that are right-censored. We study a general procedure of removing low importance obser…

math.ST2019

Matrix Mittag--Leffler distributions and modeling heavy-tailed risks

Hansjoerg Albrecher, Martin Bladt, Mogens Bladt

In this paper we define the class of matrix Mittag-Leffler distributions and study some of its properties. We show that it can be interpreted as a particular case of an inhomogeneo…