activity
20072023
most citedConditioning on an extreme component: Model consistency with regular variation on cones

36 citations · 80 across the 15 of their papers we have counts for

collaborators

21 papers

stat.ME2023★ 1 cited

Inference for heavy-tailed data with Gaussian dependence

Bikramjit Das

We consider a model for multivariate data with heavy-tailed marginal distributions and a Gaussian dependence structure. The different marginals in the model are allowed to have non…

q-fin.RM2023

On heavy-tailed risks under Gaussian copula: the effects of marginal transformation

Bikramjit Das, Vicky Fasen-Hartmann

In this paper, we compute multivariate tail risk probabilities where the marginal risks are heavy-tailed and the dependence structure is a Gaussian copula. The marginal heavy-taile…

math.PR2023

Aggregating heavy-tailed random vectors: from finite sums to Lévy processes

Bikramjit Das, Vicky Fasen-Hartmann

The tail behavior of aggregates of heavy-tailed random vectors is known to be determined by the so-called principle of "one large jump'', be it for finite sums, random sums, or, Lé…

math.ST2021

Asymptotic Behavior of Common Connections in Sparse Random Networks

Bikramjit Das, Tiandong Wang, Gengling Dai

Random network models generated using sparse exchangeable graphs have provided a mechanism to study a wide variety of complex real-life networks. In particular, these models help w…

math.PR2019

Growth of Common Friends in a Preferential Attachment Model

Bikramjit Das, Souvik Ghosh

The number of common friends (or connections) in a graph is a commonly used measure of proximity between two nodes. Such measures are used in link prediction algorithms and recomme…

math.PR2019

Tail probabilities of random linear functions of regularly varying random vectors

Bikramjit Das, Vicky Fasen-Hartmann, Claudia Klüppelberg

We provide a new extension of Breiman's Theorem on computing tail probabilities of a product of random variables to a multivariate setting. In particular, we give a complete charac…