In this paper we derive the probability distributions of the number of molecules and of the lifetime of a molecule in a stochastic rth-order system by direct evaluation of probabilities, avoiding the ...

Parabolic and hyperbolic stochastic partial differential equations in one-dimensional space have been proposed as models for the term structure of interest rates. The solution to these equations is ...

which is the fourth equation above. These equations are solved iteratively, as in non-linear regression, but with the iteration now involving weighted least squares. The resulting scheme is called ...

This example and notation are taken from Bard (1974). A two-equation model is used to fit U.S. production data for the years 1909-1949, where z 1 is capital input, z 2 is labor input, z 3 is real ...

In this subsection on error models, we describe some general assumptions we make regarding errors. We then list the error models we consider for this work. Finally ...