exercise:7f19badaad: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> The Polya urn model for contagion is as follows: We start with an urn which contains one white ball and one black ball. At each second we choose a ball at random from the urn and replace this ball and add one more of the color chosen. Write a pr...") |
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The Polya urn model for contagion is as follows: We start with an urn which contains one white ball and one black ball. At each | |||
start with an urn which contains one white ball and one black ball. At each | |||
second we choose a ball at random from the urn and replace this ball and add one | second we choose a ball at random from the urn and replace this ball and add one | ||
more of the color chosen. Write a program to simulate this model, and see if | more of the color chosen. Write a program to simulate this model, and see if | ||
Latest revision as of 23:46, 12 June 2024
The Polya urn model for contagion is as follows: We start with an urn which contains one white ball and one black ball. At each second we choose a ball at random from the urn and replace this ball and add one more of the color chosen. Write a program to simulate this model, and see if you can make any predictions about the proportion of white balls in the urn after a large number of draws. Is there a tendency to have a large fraction of balls of the same color in the long run?