Abstract
A two urn Polya-type scheme is considered in whichr black balls (corresponding to the stable form of an element) are added to urn one at every stage and the same number of balls are removed at random at every stage from the same urn. In between these two operations, which form a stage or iteration, a fixed number of balls is exchanged at random between urns one and two. Urn one has a given initial number of white balls (corresponding to a radioactive form of the same element). The problem of interest is to study the stochastic aspect of the number of white balls remaining in urn one (and/or urn two) aftern iterations.
Similar content being viewed by others
Literature
Bernard S. R. 1973. “Estimates of Microcurie-Days Residence, Bone Dose Equivalent and (MPC) W for Thorium-232 in Man Using a Mamilliary Model”.Bull. Math. Biol.,35 129–147.
— 1977. “An Urn Model Study of Variability within a Compartment.”Bull. Math. Biol.,39, 463–470.
— 1978. “Metabolic Model and Dosimetric Data for Copper.”Bull. Math. Biol.,40, 265–269.
Sheppard, C. and A. S. Householder 1951. “The Mathematical Basis of the Interpretation of Tracer Experiments in Closed Steady State Systems.”J. Appl. Phys.,22, 510–570.
Uppuluri, V. R. R. and K. Anderson. 1976. “A Polya Urn Scheme.” Internal Correspondence—Union Carbide Nuclear Division and Oak Ridge National Laboratory.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bernard, S.R., Sobel, M. & Uppuluri, V.R.R. On a two urn model of Polya-type. Bltn Mathcal Biology 43, 33–45 (1981). https://doi.org/10.1007/BF02460937
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02460937