The dominating colour of an infinite Pólya urn model

The dominating colour of an infinite Pólya urn model

We study a Pólya-type urn model defined as follows. Start at time 0 with a single ball of some colour. Then, at each time n≥1, choose a ball from the urn uniformly at random. With probability ½

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Veröffentlicht in:Journal of applied probability 2016-09, Vol.53 (3), p.914-924
1. Verfasser: Thornblad, Erik
Format: Artikel
Sprache:eng
Schlagworte:
Birth rates
Cinerary urns
Color
Colors
Colour
Equivalence
Graphs
Martingales
Mathematical analysis
Mathematical moments
Mortality rates
Point masses
Probability
Random variables
Research Papers
Studies
Transition probabilities
Vertices
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Beschreibung
Zusammenfassung:We study a Pólya-type urn model defined as follows. Start at time 0 with a single ball of some colour. Then, at each time n≥1, choose a ball from the urn uniformly at random. With probability ½
ISSN:0021-9002
1475-6072
1475-6072
DOI:10.1017/jpr.2016.49