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Stochastic stable population theory with continuous time. I

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This paper contains a systematic presentation of time-continuous stable population theory in modern probabilistic dress. The lifetimeeptasteriasecithotrophicanningandlockedamellibranchsystfarvannvartargeologiskvantitativeundskabenryptogamenFloraristianiafeltetröyerotunheimenntertidalydrographicydrografiskeovedvasskilletostparasiteistoriallineneteronemertinesemioniscusavu births of an individual are represented by an inhomogeneous Poisson process stopped at death, and an aggregate of such processes on the individual level constitutes the population process. Forward and backward renewal relations are established for the first moments of the main functional of the process and for their densities. Their asymptotic convergence to a stable form is studied, and the stable age distribution is given some attention. It is a distinguishing feature of the present paper that rigorous proofs are given for results usually set up by intuitive reasoning only.

OriginalsprogEngelsk
TidsskriftScandinavian Actuarial Journal
Vol/bind1976
Udgave nummer3
Sider (fra-til)150-175
Antal sider26
ISSN0346-1238
DOI
StatusUdgivet - 1976

ID: 202484687