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Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond +2 more
wiley +1 more source

Functional Vašiček Model

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose a new formulation of the Vašičekmodel within the framework of functional data analysis. We treat observations (continuous‐time rates) within a suitably defined trading day as a single statistical object. We then consider a sequence of such objects, indexed by day.
Piotr Kokoszka +4 more
wiley +1 more source

The fundamental theorem of asset pricing with and without transaction costs

Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.
Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley +1 more source

Endogenous Distress Contagion in a Dynamic Interbank Model: How Possible Future Losses May Spell Doom Today

Mathematical Finance, EarlyView.
ABSTRACT We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark‐to‐market valuation adjustment for interbank claims, leading to a forward‐backward approach to the equilibrium dynamics whereby future default ...
Zachary Feinstein, Andreas Søjmark
wiley +1 more source

Fractional Brownian Motion Analysis for Spreading of Novel Coronavirus

, 2022
Lima L.
europepmc +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

Mathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber, Eyal Neuman, Sturmius Tuschmann +2 more
wiley +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, EarlyView.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck +2 more
wiley +1 more source

The valuation of currency options by fractional Brownian motion. [PDF]

Springerplus, 2016
Shokrollahi F, Kılıçman A.
europepmc +1 more source

Specimen‐tailored ‘lived’ climate reveals precipitation onset and amount best predict specimen phenology, but only weakly predict estimated reproduction across a clade

New Phytologist, EarlyView.
Summary Herbarium specimens are widely distributed in space and time, thereby capturing diverse conditions. We reconstructed specimen ‘lived’ climate from knowledge of germination cues and collection dates for 14 annual species in the Streptanthus (s.l.) clade (Brassicaceae) to ask: which climate attributes best explain specimen phenological stage and ...
Megan Bontrager +6 more
wiley +1 more source

Fractional Brownian motion analysis for epidemic spreading of diseases

, 2021
Lima L.
europepmc +1 more source

mathematics