Classification of urn models with multiple drawings

Markus Kuba

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arXiv · 1612.04354

Classification of urn models with multiple drawings

Markus Kuba

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Abstract

We consider multicolor urn models with multiple drawings. An urn model is called linear if the conditional expected value of the urn composition at time $n$ is a linear function of the composition at time $n-1$. For four different sampling schemes - ordered and unordered samples with or without replacement - we classify urns into linear and non-linear models. We also discuss representations of the expected value and the covariance for linear models.

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Markus Kuba. 2016-12-13. Classification of urn models with multiple drawings. https://arxiv.org/abs/1612.04354

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