School of Mathematics and Statistics

Advances in Applied Probability

Advances in Applied Probability

Probabilistic voting models with varying speeds of Correlation decay

We model voting behaviour in the multi-group setting of a two-tier voting system using sequences of de Finetti measures. Our model is defined by using the de Finetti representation of a probability measure (i.e. as a mixture of conditionally independen…

By Toth, Gabor, 10 months17 February 2025 ago
Advances in Applied Probability

Probabilistic voting models with varying speeds of Correlation decay

We model voting behaviour in the multi-group setting of a two-tier voting system using sequences of de Finetti measures. Our model is defined by using the de Finetti representation of a probability measure (i.e. as a mixture of conditionally independen…

By Toth, Gabor, 10 months ago
Advances in Applied Probability

Single-item continuous-review inventory models with random supplies

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions. The models …

By Helmes, Kurt L., 11 months ago
Advances in Applied Probability

Single-item continuous-review inventory models with random supplies

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions. The models …

By Helmes, Kurt L., 11 months27 January 2025 ago
Advances in Applied Probability

Optimal stopping of Gauss–Markov bridges

We solve the non-discounted, finite-horizon optimal stopping problem of a Gauss–Markov bridge by using a time-space transformation approach. The associated optimal stopping boundary is proved to be Lipschitz continuous on any closed interval that exclu…

By Azze, Abel, 1 year ago
Advances in Applied Probability

Optimal stopping of Gauss–Markov bridges

We solve the non-discounted, finite-horizon optimal stopping problem of a Gauss–Markov bridge by using a time-space transformation approach. The associated optimal stopping boundary is proved to be Lipschitz continuous on any closed interval that exclu…

By Azze, Abel, 1 year4 December 2024 ago
Advances in Applied Probability

Discounted optimal stopping zero-sum games in diffusion type models with maxima and minima

We present a closed-form solution to a discounted optimal stopping zero-sum game in a model based on a generalised geometric Brownian motion with coefficients depending on its running maximum and minimum processes. The optimal stopping times forming a …

By Gapeev, Pavel V., 1 year ago
Advances in Applied Probability

Discounted optimal stopping zero-sum games in diffusion type models with maxima and minima

We present a closed-form solution to a discounted optimal stopping zero-sum game in a model based on a generalised geometric Brownian motion with coefficients depending on its running maximum and minimum processes. The optimal stopping times forming a …

By Gapeev, Pavel V., 1 year3 December 2024 ago
Advances in Applied Probability

Feller and ergodic properties of jump–move processes with applications to interacting particle systems

We consider Markov processes that alternate continuous motions and jumps in a general locally compact Polish space. Starting from a mechanistic construction, a first contribution of this article is to provide conditions on the dynamics so that the asso…

By Lavancier, Frédéric, 1 year ago
Advances in Applied Probability

Feller and ergodic properties of jump–move processes with applications to interacting particle systems

We consider Markov processes that alternate continuous motions and jumps in a general locally compact Polish space. Starting from a mechanistic construction, a first contribution of this article is to provide conditions on the dynamics so that the asso…

By Lavancier, Frédéric, 1 year3 December 2024 ago

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