# Stochastic approximation in mixtures

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**O**n Friday, a 2008 paper on *Stochastic Approximation and Newton’s Estimate of a Mixing Distribution* by Ryan Martin and J.K. Ghosh was posted on arXiv. (I do not really see why it took so long to post on arXiv a 2008 ** Statistical Science** paper but given that it is not available on project Euclid, it may be that not all papers in

**are published immediately. Anyway, this is irrelevant to my point here!).**

*Statistical Science*The paper provides a very nice introduction to stochastic approximation methods, making the link to recent works by Christophe Andrieu, Heikki Haario, Faming Liang, Eric Moulines, Enro Saksman, and co-authors. Martin and Ghosh also reinterpret Newton-Raphson as a special case of stochastic approximation. The whole paper is very pleasant to read, quite in tune with ** Statistical Science**. I will most certainly use this material in my graduate courses and also include part of it in the revision of

*.*

**Monte Carlo Statistical Methods**Filed under: R, Statistics Tagged: J.K. Ghosh, mixtures, Newton-Raphson, Robbins-Monro, Statistical Science, stochastic approximation

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