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- W1967023145 abstract "Let $f$ be a continuous function from the unit interval to itself and let $X_0, X_1, cdots$ be the successive proportions of red balls in an urn to which at the $n$th stage a red ball is added with probability $f(X_n)$ and a black ball with probability $1 - f(X_n)$. Then $X_n$ converges almost surely to a random variable $X$ with support contained in the set $C = {p: f(p) = p}$. If, in addition, $0 < f(p) < 1$ for all $p$, then, for each $r$ in $C, Plbrack X = rrbrack > 0(=0)$ when $f'(r) < 1(> 1)$. These results are extended to more general functions $f$." @default.
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- W1967023145 date "1980-04-01" @default.
- W1967023145 modified "2023-10-06" @default.
- W1967023145 title "A Strong Law for Some Generalized Urn Processes" @default.
- W1967023145 cites W17078302 @default.
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- W1967023145 doi "https://doi.org/10.1214/aop/1176994772" @default.
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