In this paper we compute the probability $p_{S,\mathcal{R}}$ that a random segment $S$ whose length $l$ is a bounded random variable $\Delta$, and known moments $E(\Delta),$ $E(\Delta^2),$ $E(\Delta^3),$ intersects a lattice $\mathcal{R}$ of parallelepipeds of dimensions $(a,b,\alpha)$, $ (b,c,\beta)$, $(a,c,\gamma)$.
On a Buffon's Needle Experiment
BARILLA, DAVID;CARISTI, Giuseppe;
2009-01-01
Abstract
In this paper we compute the probability $p_{S,\mathcal{R}}$ that a random segment $S$ whose length $l$ is a bounded random variable $\Delta$, and known moments $E(\Delta),$ $E(\Delta^2),$ $E(\Delta^3),$ intersects a lattice $\mathcal{R}$ of parallelepipeds of dimensions $(a,b,\alpha)$, $ (b,c,\beta)$, $(a,c,\gamma)$.File in questo prodotto:
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