are the computation of the density of the capital stock in the neoclassical growth model and the computation of the wealth density in an incomplete market economy.

This paper studies the income fluctuation problem without imposing bounds on utility, assets, income or consumption. We prove that the Coleman operator is a contraction mapping over the natural class of candidate consumption policies when endowed with a metric that evaluates consumption...

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...

A potential benefit of a large market (GDP) is a large number of locally-produced varieties. We attempt to quantify the number of varieties produced in a market by counting the number of firms and plants. Looking at manufacturing industries across countries and over time, we find that variety...