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Estimation in the birth process

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Standard

Estimation in the birth process. / Keiding, Niels.

I: Biometrika, Bind 61, Nr. 1, 04.1974, s. 71-80.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

Keiding, N 1974, 'Estimation in the birth process', Biometrika, bind 61, nr. 1, s. 71-80. https://doi.org/10.1093/biomet/61.1.71

APA

Keiding, N. (1974). Estimation in the birth process. Biometrika, 61(1), 71-80. https://doi.org/10.1093/biomet/61.1.71

Vancouver

Keiding N. Estimation in the birth process. Biometrika. 1974 apr;61(1):71-80. https://doi.org/10.1093/biomet/61.1.71

Author

Keiding, Niels. / Estimation in the birth process. I: Biometrika. 1974 ; Bind 61, Nr. 1. s. 71-80.

Bibtex

@article{21a083793b2748329978611fa7f75c2f,
title = "Estimation in the birth process",
abstract = "Maximum likelihood estimation of the parameter λ of a pure birth process is studied on the assumptions that the process is observed either continuously in a time interval [0, t] or at equidistant time points O, T, ..., KT. The exact distribution of the minimal sufficient statistic is given in the first case and for both cases the asymptotic theory as t→ ∞, or as, k →, ∞, is studied. The related conditional Poisson process discussed recently by D. G. Kendall and W. A. O'N. Waugh is also studied, and the results are shown to illustrate the modern theory of exponential families and conditional inference.",
keywords = "Conditional inference, Conditional Poisson process, Estimation in Markov processes, Exponential family, Maximum likelihood estimation, Point process, Pure birth process",
author = "Niels Keiding",
year = "1974",
month = "4",
doi = "10.1093/biomet/61.1.71",
language = "English",
volume = "61",
pages = "71--80",
journal = "Biometrika",
issn = "0006-3444",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Estimation in the birth process

AU - Keiding, Niels

PY - 1974/4

Y1 - 1974/4

N2 - Maximum likelihood estimation of the parameter λ of a pure birth process is studied on the assumptions that the process is observed either continuously in a time interval [0, t] or at equidistant time points O, T, ..., KT. The exact distribution of the minimal sufficient statistic is given in the first case and for both cases the asymptotic theory as t→ ∞, or as, k →, ∞, is studied. The related conditional Poisson process discussed recently by D. G. Kendall and W. A. O'N. Waugh is also studied, and the results are shown to illustrate the modern theory of exponential families and conditional inference.

AB - Maximum likelihood estimation of the parameter λ of a pure birth process is studied on the assumptions that the process is observed either continuously in a time interval [0, t] or at equidistant time points O, T, ..., KT. The exact distribution of the minimal sufficient statistic is given in the first case and for both cases the asymptotic theory as t→ ∞, or as, k →, ∞, is studied. The related conditional Poisson process discussed recently by D. G. Kendall and W. A. O'N. Waugh is also studied, and the results are shown to illustrate the modern theory of exponential families and conditional inference.

KW - Conditional inference

KW - Conditional Poisson process

KW - Estimation in Markov processes

KW - Exponential family

KW - Maximum likelihood estimation

KW - Point process

KW - Pure birth process

UR - http://www.scopus.com/inward/record.url?scp=0015959137&partnerID=8YFLogxK

U2 - 10.1093/biomet/61.1.71

DO - 10.1093/biomet/61.1.71

M3 - Journal article

AN - SCOPUS:0015959137

VL - 61

SP - 71

EP - 80

JO - Biometrika

JF - Biometrika

SN - 0006-3444

IS - 1

ER -

ID: 202486464