Residence time moments of stochastic compartmental models with age-dependent and time-dependent rates.
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| Other Authors: | , , |
| Format: | Thesis Book |
| Language: | English |
| Published: |
1984.
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| Subjects: | |
| Online Access: | Link to ProQuest Copy Link to OAKTrust copy |
| 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. |
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| Item Description: | "Major subject: Statistics." Typescript (photocopy). Vita. |
| Physical Description: | vii, 103 leaves ; 29 cm |
| Bibliography: | Includes bibliographical references (leaves 85-88). |