Design problems for the pure birth process-Reference-Cited by-同舟云学术

Design problems for the pure birth process

Published:1983-06 Issue:2 Volume:15 Page:255-273
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Becker Gerhard,Kersting Götz

Abstract

Let Y(t) be a pure birth process. If a maximum likelihood estimator of the birth intensity is desired and the number n of observational points and the last observation T are given in advance, it is shown that equidistant sampling is not an optimal procedure. Properties of ‘optimal' designs and the corresponding maximum likelihood estimators are investigated and compared with equidistant and continuous sampling.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference10 articles.

1. Some aspects of the theory of estimating equations

2. Maximum Likelihood Estimation in the Birth-and-Death Process

3. Efficiency Problems in Polynomial Estimation

4. An Optimum Property of Regular Maximum Likelihood Estimation

5. Estimation in the birth process

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