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ESTIMATION PROBLEMS IN MODELS WITH SPATIAL WEIGHTING MATRICES WHICH HAVE BLOCKS OF EQUAL ELEMENTS
SPATIAL WEIGHTING MATRICES HAVE BLOCKS EQUAL ELEMENTS
2015/9/24
Spatial models whose weighting matrices have blocks of equal elements might be considered if units are viewed as equally distant within certain neighborhoods, but unrelated between neighborhoods. We g...
Some Experimental Results on the Statistical Properties of Least Squares Estimates in Control Problems
Statistical Properties Control Problems
2015/8/5
The statistical properties of the certainty equivalence control rule and of the least squares
estimates generated by this rule are examined experimentally in a linear model with two
unknown paramete...
Methods of Efficient Parameter Estimation in Control Problems
Efficient Parameter Estimation Control Problems
2015/8/5
Methods of Efficient Parameter Estimation in Control Problems.
Merging Simulation and Projection Aproaches to Solve High-Dimensional Problems with an Application to a New Keynesian model
Numerical algorithm dynamic economic model of the grid
2015/7/21
We introduce a numerical algorithm for solving dynamic economic models that merges stochastic simulation and projection approaches: we use simulation to approximate the ergodic measure of the solution...
On the Equivalence of Quadratic Optimization Problems Commonly Used in Portfolio Theory
investment analysis mean-variance analysis parameter uncertainty interval estimation test theory.
2012/9/14
In the paper, we consider three quadratic optimization problems which are frequently applied in portfolio theory, i.e, the Markowitz mean-variance problem as well as the problems based on the mean-var...
C^{1,1} regularity for degenerate elliptic obstacle problems in mathematical finance
American-style option degenerate elliptic di erential operator degenerate di usion process, free boundary problem Heston stochastic volatility process mathematical nance obstacle problem variational inequality weighted Sobolev space.
2012/9/14
The Heston stochastic volatility process is a degenerate di usion process where the degeneracy in the di usion coecient is proportional to the square root of the distance to the boundary of the half-...
Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions
Degenerate elliptic and parabolic differential operators degenerate diffusion process Feller square root process Feynman-Kac formula
2012/4/28
We prove stochastic representation formulae for solutions to elliptic and parabolic boundary value and obstacle problems associated with a degenerate Markov diffusion process. In particular, our artic...
Cone-Constrained Continuous-Time Markowitz Problems
Markowitz problem cone constraints portfolio selection mean-variancehedging stochastic control semimartingales BSDEs martingale optimality principle opportunity process E-martingales linear-quadratic control
2012/9/14
The Markowitz problem consists of finding in a financial market a self-financing trading strategy whose final wealth has maximal mean and minimal variance. We
study this in continuous time in a gener...
On the rates of convergence of simulation based optimization algorithms for optimal stopping problems
optimal stopping simulation based algorithms entropy with bracketing increments of empirical processes
2010/11/2
In this paper we study simulation based optimization algorithms for solving discrete time optimal stopping problems. This type of algorithms became popular among practioneers working in the area of qu...