A hybrid multivariate Normal and lognormal distribution for data assimilation | Zendy

Fletcher Steven J. | Zendy; Zupanski Milija | Zendy

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A hybrid multivariate Normal and lognormal distribution for data assimilation

Author(s) -

Fletcher Steven J.,

Zupanski Milija

Publication year - 2006

Publication title -

atmospheric science letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.951

H-Index - 45

ISSN - 1530-261X

DOI - 10.1002/asl.128

Subject(s) - log normal distribution , multivariate statistics , bayesian probability , data assimilation , mathematics , multivariate normal distribution , statistics , distribution fitting , inverse wishart distribution , econometrics , probability distribution , meteorology , geography

In this article, we define and prove a distribution, which is a combination of a multivariate Normal and lognormal distribution. From this distribution, we apply a Bayesian probability framework to derive a non‐linear cost function similar to the one that is in current variational data assimilation (DA) applications. Copyright © 2006 Royal Meteorological Society

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