This paper deals with the random linear advection equation for which the time-dependent velocity and the initial condition are independent random functions. Expressions for the density and joint density functions of the solution are given. We also verify that in the Gaussian time-dependent...

Nawata [8–10] proposed a new estimator for the standard regression, censored regression, and binary choice models, based on grouping of observations. This paper shows that Nawata's grouping method can be generalised to various types of estimation problems and represents a new class of...