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Journal of Applied Meteorology and Climatology

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Editorial Type:
Article
Article Type:
Research Article

Variability of Space–Time Mean Rain Rate

B. KedemMathematics Department and Institute for Systems Research, University of Maryland at College Park, College Park, Maryland

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R. PfeifferMathematics Department and Institute for Systems Research, University of Maryland at College Park, College Park, Maryland

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D. A. ShortLaboratory for Atmospheres, NASA/GSFC, Greenbelt, Maryland

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Print Publication:
01 May 1997
DOI:
https://doi.org/10.1175/1520-0450(1997)036<0443:VOSTMR>2.0.CO;2
Page(s):
443–451
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Abstract

A mixed lognormal distribution is fit to rain-rate data for the purpose of estimating the space–time mean. Using Fisher information, the large sample variance is obtained for grouped and ungrouped data estimates. The asymptotic variance results are used in deriving the efficiency of the grouped data estimator as a function of the mixed lognormal parameters. The method is applied to data from the Tropical Ocean Global Atmosphere Coupled Ocean–Atmosphere Response Experiment binned into 2 km × 2 km and 4 km × 4 km pixels. The variance of estimators is smaller for the 4 km × 4 km case, indicating that the lognormal model is more appropriate for the lower-resolution data.

Corresponding author address: David A. Short, Laboratory for Atmospheres, NASA/Goddard Space Flight Center, Greenbelt, MD 20771.

short@trmm.gsfc.nasa.gov

Abstract

A mixed lognormal distribution is fit to rain-rate data for the purpose of estimating the space–time mean. Using Fisher information, the large sample variance is obtained for grouped and ungrouped data estimates. The asymptotic variance results are used in deriving the efficiency of the grouped data estimator as a function of the mixed lognormal parameters. The method is applied to data from the Tropical Ocean Global Atmosphere Coupled Ocean–Atmosphere Response Experiment binned into 2 km × 2 km and 4 km × 4 km pixels. The variance of estimators is smaller for the 4 km × 4 km case, indicating that the lognormal model is more appropriate for the lower-resolution data.

Corresponding author address: David A. Short, Laboratory for Atmospheres, NASA/Goddard Space Flight Center, Greenbelt, MD 20771.

short@trmm.gsfc.nasa.gov

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