Publication Abstracts
Alexandrov and Marshak 2017
, and A. Marshak, 2017: Cellular statistical models of broken cloud fields. Part III: Markovian properties. J. Atmos. Sci., 74, no. 9, 2921-2935, doi:10.1175/JAS-D-17-0075.1.
In the third part of our Cellular Statistical Models of Broken Cloud Fields series the cloud statistics formalism developed in the first two parts is interpreted in terms of the theory of Markov processes. The master matrix introduced in this study is a unifying generalization of both the cloud fraction probability distribution function (PDF) and the Markovian transition probability matrix. To illustrate the new concept we use the master matrix for computation of the moments of the cloud fraction PDF, in particular, the variance, which until now has not been analytically derived in the framework of our previous work. This paper also serves as a bridge to our future studies of the effects of sampling and averaging on satellite-based cloud masks.
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BibTeX Citation
@article{al04600m, author={Alexandrov, M. D. and Marshak, A.}, title={Cellular statistical models of broken cloud fields. Part III: Markovian properties}, year={2017}, journal={Journal of the Atmospheric Sciences}, volume={74}, number={9}, pages={2921--2935}, doi={10.1175/JAS-D-17-0075.1}, }
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RIS Citation
TY - JOUR ID - al04600m AU - Alexandrov, M. D. AU - Marshak, A. PY - 2017 TI - Cellular statistical models of broken cloud fields. Part III: Markovian properties JA - J. Atmos. Sci. JO - Journal of the Atmospheric Sciences VL - 74 IS - 9 SP - 2921 EP - 2935 DO - 10.1175/JAS-D-17-0075.1 ER -
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