On the asymptotic validity of confidence sets for linear functionals of solutions to integral equations. [PDF]
BiometrikaSmucler E, Robins JM, Rotnitzky A.
europepmc +1 more source
Asymptotic independence in more than two dimensions and its implications on risk management
Canadian Journal of Statistics, EarlyView.Abstract In extreme value theory, the presence of asymptotic independence signifies that joint extreme events across multiple variables are unlikely. Although well understood in a bivariate context, the concept remains relatively unexplored when addressing the nuances of simultaneous occurrence of extremes in higher dimensions.
Bikramjit Das, Vicky Fasen‐Hartmann
wiley +1 more source
Generating Function for Quantum Depletion of Bose-Einstein Condensates. [PDF]
J Stat PhysRademacher S.
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A Markov approach to credit rating migration conditional on economic states
Canadian Journal of Statistics, EarlyView.Abstract We develop a model for credit rating migration that accounts for the impact of economic state fluctuations on default probabilities. The joint process for the economic state and the rating is modelled as a time‐homogeneous Markov chain. While the rating process itself possesses the Markov property only under restrictive conditions, methods ...
Michael Kalkbrener, Natalie Packham
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Wild bootstrap for counting process-based statistics: a martingale theory-based approach. [PDF]
Lifetime Data AnalDietrich MT, Dobler D, de Gunst MCM.
europepmc +1 more source
Bayesian clustering of multivariate extremes
Canadian Journal of Statistics, EarlyView.Abstract The asymptotic dependence structure between multivariate extreme values is fully characterized by their projections on the unit simplex. Under mild conditions, the only constraint on the resulting distributions is that their marginal means must be equal, which results in a nonparametric model that can be difficult to use in applications ...
Sonia Alouini, Anthony C. Davison
wiley +1 more source
Parameterized quantum circuits as universal generative models for continuous multivariate distributions. [PDF]
npj Quantum InfBarthe A +4 more
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A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, EarlyView.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
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Exchangeable coalescents beyond the Cannings class. [PDF]
J Math BiolSiri-Jégousse A, Wences AH.
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On Mixing and Stability of Limit Theorems
, 1978 D. Aldous, G. Eagleson
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