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Residence time moments of stochastic compartmental models with age-dependent and time-dependent rates
| dc.contributor.advisor | Matis, James H. | |
| dc.creator | Olson, David Ra | |
| dc.date.accessioned | 2020-08-21T21:40:56Z | |
| dc.date.available | 2020-08-21T21:40:56Z | |
| dc.date.issued | 1984 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/DISSERTATIONS-413320 | |
| dc.description | Typescript (photocopy). | en |
| dc.description.abstract | The residence time moments and cross moments are derived for the general stochastic compartment model with constant transition rates. These moments are obtained for the n-compartment, irreversible catenary system with transition rates that are general functions of time. The two-compartment, reversible system with time-dependent rates is also considered; however, a closed form solution for the moments is derived only for particular functions of time. The residence time moments and cross moments for stochastic compartmental systems with age-dependent transition rates are found by relating survivorship theory to the rates. Necessary characteristic functions for obtaining these moments are derived for the n-compartment, irreversible catenary system and the two-compartment, reversible system. The procedure for the general reversible system is outlined. | en |
| dc.format.extent | vii, 103 leaves ; | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Statistics | en |
| dc.subject.classification | 1984 Dissertation O49 | |
| dc.subject.lcsh | Compartmental analysis (Biology) | en |
| dc.title | Residence time moments of stochastic compartmental models with age-dependent and time-dependent rates | en |
| dc.type | Thesis | en |
| thesis.degree.grantor | Texas A&M University | en |
| thesis.degree.name | Doctor of Philosophy | en |
| thesis.degree.name | Ph. D.in Philosophy | en |
| dc.contributor.committeeMember | Gilbert, Roy F. | |
| dc.contributor.committeeMember | Parzen, Emanuel | |
| dc.contributor.committeeMember | Ringer, Larry J. | |
| dc.type.genre | dissertations | en |
| dc.type.material | text | en |
| dc.format.digitalOrigin | reformatted digital | en |
| dc.publisher.digital | Texas A&M University. Libraries | |
| dc.identifier.oclc | 13656104 |
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