Results 31 to 40 of about 15,383 (104)
Donsker theorems for diffusions: Necessary and sufficient conditions [PDF]
, 2004 We consider the empirical process G_t of a one-dimensional diffusion with finite speed measure, indexed by a collection of functions F. By the central limit theorem for diffusions, the finite-dimensional distributions of G_t converge weakly to those of a
van der Vaart, Aad, van Zanten, Harry
core +6 more sources
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
Spatially independent martingales, intersections, and applications [PDF]
, 2015 We define a class of random measures, spatially independent martingales, which we view as a natural generalisation of the canonical random discrete set, and which includes as special cases many variants of fractal percolation and Poissonian cut-outs.
Shmerkin, Pablo, Suomala, Ville
core
Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth
, 2012 We obtain a representation of Feller's branching diffusion with logistic growth in terms of the local times of a reflected Brownian motion $H$ with a drift that is affine linear in the local time accumulated by $H$ at its current level.
Le, Vi +2 more
core +3 more sources
On Metric Choice in Dimension Reduction for Fréchet Regression
International Statistical Review, EarlyView.Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale +3 more
wiley +1 more source
Optimal Novikov-type criteria for local martingales with jumps
, 2012 We consider local martingales $M$ with jumps larger than $a$ for some $a$ larger than or equal to -1, and prove Novikov-type criteria for the corresponding exponential local martingale to be a uniformly integrable martingale.
Sokol, Alexander
core +1 more source
A Comparative Review of Specification Tests for Diffusion Models
International Statistical Review, EarlyView.Summary Diffusion models play an essential role in modelling continuous‐time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential equations.
A. López‐Pérez +3 more
wiley +1 more source
Local times of continuous N-parameter strong martingales
Journal of Multivariate Analysis, 1986 This paper studies the properties of local times of continuous N- parameter strong martingales. Suppose that \(M=\{M(z)\), \(z\in [0,1]^ N\}\) is a 4N-integrable, real-valued continuous N-parameter strong martingale with respect to a family of \(\sigma\)-fields \(\{\) \({\mathcal F}_ z\), \(z\in [0,1]^ N\}\) verifying the usual conditional independence
openaire +2 more sources
Model Ambiguity versus Model Misspecification in Dynamic Portfolio Choice
The Journal of Finance, EarlyView.ABSTRACT We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Risk‐averse investors (relative risk aversion γ>1$\gamma > 1$) fear return persistence, while risk‐tolerant investors (0<γ<1$0<\gamma <1$) fear mean reversion, when confronting model misspecification concerns of identically and independently distributed (IID)
PASCAL J. MAENHOUT +2 more
wiley +1 more source
Learning in the Limit: Income Inference from Credit Extensions
The Journal of Finance, EarlyView.ABSTRACT Combining a randomized controlled trial with administrative and survey data, this paper shows that credit limit extensions significantly increase total spending and income expectations. By controlling for changes in personal income expectations, the spending response to credit limit extensions weakens by approximately 30%.
XIAO YIN
wiley +1 more source