An estimator for ratios of Poisson distributed quantities
| Authors | |
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| Publication date | 11-2021 |
| Series | Discussion paper CBS |
| Number of pages | 12 |
| Publisher | The Hague: Statistics Netherlands |
| Organisations |
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| Abstract |
A common task for national statistical institutes is to estimate the size of a subpopulation, with certain specific characteristics, as a proportion of a larger population or subpopulation, in particular in a time series setting where this proportion is reported on a regular basis. This paper discusses the probability density function for the stochastic variable that describes this proportion, where the numerator is treated as realisations of a Poisson process, and the denominator is the sum of a fixed value and realisations of a Poisson process that is independent from the numerator. |
| Document type | Working paper |
| Language | English |
| Published at | https://www.cbs.nl/en-gb/background/2021/48/an-estimator-for-ratios-of-poisson-distributed-quantities |
| Downloads |
RatioEstimator
(Final published version)
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