Generalized Look-Ahead Methods for Computing Stationary Densities

Generalized Look-Ahead Methods for Computing Stationary Densities

The look-ahead estimator is used to compute densities associated with Markov processes via simulation. We study a framework that extends the look-ahead estimator to a much broader range of applications. We provide a general asymptotic theory for the estimator, where both L1 consistency and L2 asymptotic normality are established. The L2 asymptotic normality implies √ n convergence rates for L2 ...

Computing Densities and Expectations in Stochastic Recursive Economies: Generalized Look-Ahead Techniques

We propose a generalized look-ahead estimator for computing densities and expectations in economic models. We provide conditions under which the estimator converges globally with probability one, and exhibit the asymptotic distribution of the error. Our estimator is more efficient than other Monte Carlo based approaches. Numerical experiments indicate that the estimator can provide large increa...

A look back, a look ahead.

The experts look ahead

The future of integrated electronics is the future of electronics itself. The advantages of integration will bring about a proliferation of electronics, pushing this science into many new areas. Integrated circuits will lead to such wonders as home computers—or at least terminals connected to a central computer—automatic controls for automobiles, and personal portable communications equipment. ...

Iterative methods for computing generalized inverses

In this article we extend the method of Yong-Lin Chen (Iterative methods for computing the generalized inverses A (2) T,S of a matrix A, Appl. Math. Comput. 75 (2-3) (1996)) to inifinite dimensional settings. Precisely, we construct an iterative method for computing outer generalized inverses of operators on Banach spaces, and also for computing the generalized Drazin inverse of Banach algebra ...