Maximum Likelihood Estimation of Exponential Polynomial Rate for Poisson Data

1 January 1984

journal article
research article
Published by Wiley in Biometrical Journal

Vol. 26 (1) , 33-38
https://doi.org/10.1002/bimj.4710260106

Abstract

The heterogeneous Poisson process with discretized exponential quadratic rate function is considered. Maximum likelihood estimates of the parameters of the rate function are derived for the case when the data consists of numbers of occurrences in consecutive equal time periods. A likelihood ratio test of the null hypothesis of exponential quadratic rate is presented. Its power against exponential linear rate functions is estimated using Monte Carlo simulation. The maximum likelihood method is compared with a log‐linear least squares techniques. An application of the technique to the analysis of mortality rates due to congenital malformations is presented.

Keywords

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