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20142026
most citedA characterization of equivalent martingale measures in a renewal risk model with applications to premium calculation principles

7 citations · 8 across the 7 of their papers we have counts for

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math.PR2026

A characterization of ruin-inducing probability measures in a renewal risk model

Spyridon M. Tzaninis, Apostolos Bozikas

In this work, we derive a complete characterization of all ruin-inducing probability measures that preserve the structure of a given compound renewal process in terms of suitable p…

math.PR2024

Extensions of Panjer's recursion for mixed compound distributions

Spyridon M. Tzaninis, Apostolos Bozikas

In actuarial practice, the usual independence assumptions for the collective risk model are often violated, implying a growing need for considering more general models that incorpo…

math.PR2020

Applications of a change of measures technique for compound mixed renewal processes to the ruin problem

Spyridon M. Tzaninis

In the present paper the change of measures technique for compound mixed renewal processes, developed in Tzaninis & Macheras [24], is applied to the ruin problem in order to comput…

math.PR2020

A characterization of progressively equivalent probability measures preserving the structure of a compound mixed renewal process

Spyridon M. Tzaninis, Nikolaos D. Macheras

Generalizing earlier works of Delbaen & Haezendonck [5] as well as of [18] and [16] for given compound mixed renewal process S under a probability measure P, we characterize all th…

math.PR2020

A characterization of equivalent martingale probability measures in a mixed renewal risk model with applications in Risk Theory

Spyridon M. Tzaninis, Nikolaos D. Macheras

If a given aggregate process is a compound mixed renewal process under a probability measure , we provide a characterization of all probability measures on the domain of…

math.PR2017★ 7 cited

A characterization of equivalent martingale measures in a renewal risk model with applications to premium calculation principles

Nikolaos D. Macheras, Spyridon M. Tzaninis

Generalizing earlier work of Delbaen and Haezendonck for given compound renewal process under a probability measure we characterize all probability measures on the doma…

math.PR2016

On the equivalence of various definitions of mixed Poisson processes

D. P. Lyberopoulos, N. D. Macheras, S. M. Tzaninis

Under mild assumptions the equivalence of the mixed Poisson process with mixing parameter a real-valued random variable to the one with mixing distribution as well as to the mixed…

math.PR2014★ 1 cited

Some characterizations for Markov processes as mixed renewal processes

N. D. Macheras, S. M. Tzaninis

In this paper the class of mixed renewal processes (MRPs for short) with mixing parameter a random vector from \cite{lm6z3} (enlarging Huang's \cite{hu} original class) is replaced…