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59

Sep 22, 2013
09/13

by
A. D. Barbour; Oliver Johnson; Ioannis Kontoyiannis; Mokshay Madiman

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An information-theoretic development is given for the problem of compound Poisson approximation, which parallels earlier treatments for Gaussian and Poisson approximation. Let $P_{S_n}$ be the distribution of a sum $S_n=\Sumn Y_i$ of independent integer-valued random variables $Y_i$. Nonasymptotic bounds are derived for the distance between $P_{S_n}$ and an appropriately chosen compound Poisson law. In the case where all $Y_i$ have the same conditional distribution given $\{Y_i\neq 0\}$, a...

Source: http://arxiv.org/abs/1004.3692v1

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19

Dec 2, 2017
12/17

by
Grame Bell and his Dixieland Jazz Band; Oliver - Johnson

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56
56

Sep 21, 2013
09/13

by
Oliver Johnson; Dino Sejdinovic; James Cruise; Ayalvadi Ganesh; Robert Piechocki

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Given the output of a data source taking values in a finite alphabet, we wish to detect change-points, that is times when the statistical properties of the source change. Motivated by ideas of match lengths in information theory, we introduce a novel non-parametric estimator which we call CRECHE (CRossings Enumeration CHange Estimator). We present simulation evidence that this estimator performs well, both for simulated sources and for real data formed by concatenating text sources. For...

Source: http://arxiv.org/abs/1106.5714v2

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