This paper shows that aggregation over heterogeneous firms, which are subject to temporary technology shocks, will lead to long memory and nonlinearities. We start from microfoundations, using standard RBC model of monopolistic competition. We then derive the fundamental intertemporal...

This paper shows that the behaviour of an otherwise conventional model of real business cycles (RBCs) in which heterogeneous individual firms are subject to temporary technology shocks will be characterised by long memory and nonlinearity. We start from microfoundations, using a standard RBC...

Suppose we have observations ranging over t = 0; 1;... T on real net investment, {In;t} , and on real gross investment, {Ig;t}. We derive a method of calculating the depreciation rate for each of the periods {delta t} , and estimating `the' implied net capital stock {Kt}. We then provide empirical...

Let Xt be a discrete multivariate autoregressive process of order 1. The paper derives the joint moment generating function (mgf) of the two quadratic forms that are used to define statistics relating to the parameters of this process. The formula is then specialized to some cases of interest,...

In time series containing an autoregressive unit root, almost all known statistics can be described in terms of two Wiener functionals. It is therefore crucial for us to know how these functionals are jointly distributed in terms of explicit formulae that can be manipulated analytically, that do...

Least squares cross-validation (CV) methods are often used for automated bandwidth selection. We show that they share a common structure which has an explicit asymptotic solution. Using the framework of density estimation, we consider unbiased, biased, and smoothed CV methods. We show that, with...

We show that the bias of estimated parameters in autoregressive models can increase as the sample size grows. This unusual result is due to the effect of the initial sample observations that are typically neglected in theoretical asymptotoc analysis, in spite of their empirical relevance....