# On Sampling without replacement and OK-Corral urn models

@article{Kuba2010OnSW, title={On Sampling without replacement and OK-Corral urn models}, author={Markus Kuba}, journal={arXiv: Combinatorics}, year={2010} }

In this work we discuss two urn models with general weight sequences $(A,B)$ associated to them, $A=(\alpha_n)_{n\in\N}$ and $B=(\beta_m)_{m\in\N}$, generalizing two well known P\'olya-Eggenberger urn models, namely the so-called sampling without replacement urn model and the OK Corral urn model. We derive simple explicit expressions for the distribution of the number of white balls, when all black have been drawn, and obtain as a byproduct the corresponding results for the P\'olya-Eggenberger…

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