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The invariant distribution of a sequence of random collinear triangle shapes
Published online by Cambridge University Press: 01 July 2016
Abstract
The shape of the nth in a sequence of random triangle shapes is (xn, yn). It was shown in [8] and [9] that yn → 0, almost surely, as n → ∞. In this paper we show that x„ converges in distribution, as n→∞, to a random variable x, and we find the probability distribution of x. The convergence in law of xn enables us to complete an argument used in one part of [9].
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- Copyright © Applied Probability Trust 1990
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