The least squares estimator of random variables under sublinear expectations
From MaRDI portal
Publication:2408605
DOI10.1016/j.jmaa.2017.02.020zbMath1376.62042OpenAlexW2590053286MaRDI QIDQ2408605
Publication date: 12 October 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.02.020
conditional expectation\(g\)-expectationleast squares estimatorcoherent risk measuresublinear expectation
Statistical methods; risk measures (91G70) Linear inference, regression (62J99) Filtering in stochastic control theory (93E11) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)
Related Items
The minimum mean square estimator of integrable variables under sublinear operators, Equivalent conditions of complete convergence and Marcinkiewicz-Zygmund-type strong law of large numbers for i.i.d. sequences under sub-linear expectations, Nonparametric estimation of trend for stochastic processes driven by \(G\)-Brownian motion with small noise, A robust Kalman-Bucy filtering problem, On a robust risk measurement approach for capital determination errors minimization, A filtering problem with uncertainty in observation, The least squares estimator of random variables under convex operators on \(L_{\mathcal{F}}^\infty (\mu)\) space, Kalman--Bucy Filtering and Minimum Mean Square Estimator under Uncertainty
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Representation of the penalty term of dynamic concave utilities
- On weak compactness in spaces of measures
- Lectures on stochastic control and nonlinear filtering. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. programme in applications of mathematics. Notes by K. M. Ramachandran
- Continuous-time stochastic control and optimization with financial applications
- A result on the probability measures dominated by \(g\)-expectation
- From Hahn--Banach to monotonicity
- Coherent multiperiod risk adjusted values and Bellman's principle
- Risk measures via \(g\)-expectations
- Coherent Measures of Risk
- Stochastic finance. An introduction in discrete time