𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the stochastic theory of compartments: The leaving process of the two-compartment systems

✍ Scribed by G.K. Agrafiotis

Publisher
Springer
Year
1981
Tongue
English
Weight
654 KB
Volume
43
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper three stochastic models are developed for a class of two-compartment systems to analyse the randomness of the leaving process of the particles in the system.

Results in closed form for the distribution of the leaving process of the particles in the system are given both for general and exponential sojourn time distributions and also in association with forward recurrence time distributions with and without Poisson input.

πŸ“œ SIMILAR VOLUMES

On the Stochastic Theory of Compartments
On the Stochastic Theory of Compartments: The Two-Compartment and the Mammillary Compartment Systems
✍ Dr. G. K. Agrafiotis πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 299 KB πŸ‘ 1 views

A two-compartment and a mammillary compartment system with arbitrary sojourn time distributions for each of the compartments is analysed in this paper, both with and without input. Several results found earlier by other authors for these systems are generalized and some new results are also added.

Stochastic theory of compartments: One a
Stochastic theory of compartments: One and two compartment systems
✍ Peter Purdue πŸ“‚ Article πŸ“… 1974 πŸ› Springer 🌐 English βš– 417 KB

P r e v i o u s work on c o m p a r t m e n t a l systems is generalized (i) to allow t h e particles p r e s e n t a t t i m e zero to h a v e a different lifetime d i s t r i b u t i o n t h a n those which arrive after t i m e zero, a n d (ii) to allow a particle which enters t h e s y s t e m a

Stochastic theory of compartments: An op
Stochastic theory of compartments: An open, two compartment, reversible system with independent poisson arrivals
✍ Peter Purdue πŸ“‚ Article πŸ“… 1975 πŸ› Springer 🌐 English βš– 263 KB

This paper discusses two compartment models with interaction allowed between the compartments. The total number of particles in the system at any time is discussed along with the number to be found in each separate compartment. An interesting result is that the number of particles in each of the two

On the stochastic theory of compartments
On the stochastic theory of compartments: Solution for n-compartment systems with irreversible, time-dependent transition probabilities
✍ M. Cardenas; J.H. Matis πŸ“‚ Article πŸ“… 1974 πŸ› Springer 🌐 English βš– 584 KB

The bivariate distribution of a two-compartment stochastic system with irreversible, time-dependent transition probabilities is obtained for any point in time. The mean and variance of the number of particles in any compartment and the covariance between the number of particles in each of the two co

On the stochastic theory of compartments
On the stochastic theory of compartments: III. General time-dependent reversible systems
✍ Ajit K. Thakur; Aldo Rescigno πŸ“‚ Article πŸ“… 1978 πŸ› Springer 🌐 English βš– 351 KB

General formulation ol stochastic single-and multi-compartment reversible systems with time-dependent transitions is made. The correspondence between the stochastic mean and the deterministic value is established in case of time-dependence and it is shown how the consequence of this can be utilized