𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An inverse problem in birth and death processes

✍ Scribed by P.R. Parthasarathy; R.B. Lenin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
430 KB
Volume
38
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

An inverse problem of constructing birth and death processes {X(t)} on finite state space {0, 1, 2 .... , N} is considered. Given a set of 2N + 1, distinct, nonnegative real numbers one of which is zero, say 0 ~ SO < Zl < 82 < "'" < ZN < SN~ a procedure is established to obtain the birth and death rates of a birth and death process so that N P(X(t) = O) = E j=o N I] (zi --s D i=l N I1 (si --sj) i=O,i~Β£j e-Sit and other transient system size probabilities. This technique is illustrated numerically. (~) 1999 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

An inverse problem in neural processing
An inverse problem in neural processing
✍ M. N. OğuztΓΆreli; T. M. Caelli πŸ“‚ Article πŸ“… 1986 πŸ› Springer-Verlag 🌐 English βš– 536 KB

Any neural network aimed at the coding sensory events must contain computational properties which generally allow the organism to reconstruct the input signals with some degree of accuracy--else the association between stimulus and response would, at best, be uncertain. In this paper we investigate