Stochastic stable population theory with continuous time. I
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Stochastic stable population theory with continuous time. I. / Keiding, Niels; Hoem, Jan M.
I: Scandinavian Actuarial Journal, Bind 1976, Nr. 3, 1976, s. 150-175.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Stochastic stable population theory with continuous time. I
AU - Keiding, Niels
AU - Hoem, Jan M.
PY - 1976
Y1 - 1976
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000417276&partnerID=8YFLogxK
U2 - 10.1080/03461238.1976.10405611
DO - 10.1080/03461238.1976.10405611
M3 - Journal article
AN - SCOPUS:0000417276
VL - 1976
SP - 150
EP - 175
JO - Scandinavian Actuarial Journal
JF - Scandinavian Actuarial Journal
SN - 0346-1238
IS - 3
ER -
ID: 202484687