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.

In: Scandinavian Actuarial Journal, Vol. 1976, No. 3, 1976, p. 150-175.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Keiding, N & Hoem, JM 1976, 'Stochastic stable population theory with continuous time. I', Scandinavian Actuarial Journal, vol. 1976, no. 3, pp. 150-175. https://doi.org/10.1080/03461238.1976.10405611

APA

Keiding, N., & Hoem, J. M. (1976). Stochastic stable population theory with continuous time. I. Scandinavian Actuarial Journal, 1976(3), 150-175. https://doi.org/10.1080/03461238.1976.10405611

Vancouver

Keiding N, Hoem JM. Stochastic stable population theory with continuous time. I. Scandinavian Actuarial Journal. 1976;1976(3):150-175. https://doi.org/10.1080/03461238.1976.10405611

Author

Keiding, Niels ; Hoem, Jan M. / Stochastic stable population theory with continuous time. I. In: Scandinavian Actuarial Journal. 1976 ; Vol. 1976, No. 3. pp. 150-175.

Bibtex

@article{47d84ea69a1d47848c60d96b9419d184,
title = "Stochastic stable population theory with continuous time. I",
abstract = "This paper contains a systematic presentation of time-continuous stable population theory in modern probabilistic dress. The lifetimeeptasteriasecithotrophicanningandlockedamellibranchsystfarvannvartargeologiskvantitativeundskabenryptogamenFloraristianiafeltetr{\"o}yerotunheimenntertidalydrographicydrografiskeovedvasskilletostparasiteistoriallineneteronemertinesemioniscusavu 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.",
author = "Niels Keiding and Hoem, {Jan M.}",
year = "1976",
doi = "10.1080/03461238.1976.10405611",
language = "English",
volume = "1976",
pages = "150--175",
journal = "Scandinavian Actuarial Journal",
issn = "0346-1238",
publisher = "Taylor & Francis Scandinavia",
number = "3",

}

RIS

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