Abstract:
Imagine an urn containing w white and b black balls, together with inexhaustible supplies of white and black balls. Pick one ball from the urn randomly, and replace it in the urn, together with a additional balls of the same colour. Repeat indefinitely. What happens to (say) the proportion of white balls in the urn? Experiment indicates, and analysis confirms, that in any particular experiment the proportion stabilises rapidly, but on an unrepeatable value. A set of experiments approximates a distribution of limiting proportions that is beta over the whole range from 0 to 1 (uniform if b = w = a = 1). irrepro runs the experiment once and plots proportion white against number of picks. irrepron runs the experiment for as many times as there are observations. Under Windows, the effect is a movie with as many frames as there are observations.
More software in Statistical Software Components from Boston College Department of Economics Address: Boston College, 140 Commonwealth Avenue, Chestnut Hill MA 02467 USA Contact information at EDIRC. Series data maintained by Christopher F Baum ().
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