4.3 Article

A hybrid multivariate Normal and lognormal distribution for data assimilation

Journal

ATMOSPHERIC SCIENCE LETTERS
Volume 7, Issue 2, Pages 43-46

Publisher

WILEY-BLACKWELL
DOI: 10.1002/asl.128

Keywords

data assimilation; probability; non-Normal; lognormal

Funding

  1. National Science Foundation Collaboration in Mathematical Geosciences [0327651]
  2. Directorate For Geosciences
  3. Div Atmospheric & Geospace Sciences [0327651] Funding Source: National Science Foundation

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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 (C) 2006 Royal Meteorological Society

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