Showing papers by "Herman Chernoff published in 1978"
TL;DR: In this paper, the potential function methods of Bather are applied to give a more analytic approach to a problem of Rath on stochastic control of a Brownian motion, an application of which involves deciding between two costly modes for reducing a queue length when there is a holding cost and a cost of switching from one mode to another.
Abstract: The potential function methods of Bather are applied to give a more analytic approach to a problem of Rath on stochastic control of a Brownian motion. This approach is applied also to a generalization of the Rath problem, an application of which involves deciding between two costly modes for reducing a queue length when there is a holding cost and a cost of switching from one mode to another. Some computational methods are indicated.
29 citations
12 Apr 1978
TL;DR: It is proposed that one way to develop a discipline for graphical representations in Statistics is to compile a list of functions and attributes on which each graphical method would be scaled and onWhich each potential application would also be scaled.
Abstract: : In recent years, partly as a result of the computer revolution, the use of graphical representations in Statistics is beginning to attract more attention. It seems appropriate to develop a discipline for such graphical representations. It is proposed that one way to develop such a discipline is to compile a list of functions and attributes on which each graphical method would be scaled and on which each potential application would also be scaled. For each application, the appropriate method could be selected by how well it matches the application in these attribute scales. Several representations of multivariate data including profiles, stars, faces and Andrews' Fourier Series are used as illustrations. (Author)
17 citations