Implications and impacts of transforming lognormal variables into normal variables in VAR

Meteorologische Zeitschrift

Volumn 16, Issue 6, 2007, Pages 755-765

  Fletcher, Steven J ^a   Zupanski, Milija ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COST FUNCTIONS; ERROR ANALYSIS; METEOROLOGY;

DATA ASSIMILATION; ERROR ANALYSIS; ERROR CORRECTION; PERFORMANCE ASSESSMENT; THREE-DIMENSIONAL MODELING; VARIANCE ANALYSIS; WEATHER FORECASTING;

EID: 39749162940     PISSN: 09412948     EISSN: 16101227     Source Type: Journal    
DOI: 10.1127/0941-2948/2007/0243     Document Type: Article

References (19)

1. COHN, S. E., 1997: An introduction to estimation theory. - J. Met. Soc. Japan 75, 257-288.
2. DEBLONDE, G., S. ENGLISH, 2003: One-dimensional variational retrievals from SSMISS-simulated observations. - J. Appl. Meteor. 42, 1406-1420.
3. DEE, D.P., A.M. DA SILVA, 2003: The choice of variable for atmospheric moisture analysis. - Mon. Wea. Rev. 131, 155-171
4. EVANS, M., N. HASTINGS, B. PEACOCK, 2000: Statistical distributions. John Wiley and Sons, Inc., 221 pp.
5. EVENSEN, G., 2003: The ensemble Kalman Filter: Theoretical formulation and practical implementation. - Ocean Dyn. 53, 343-367.
6. FLETCHER, S.J., M. ZUPANSKI, 2006a: A data assimilation method for log-normally distributed observational errors. - Quart. J. Roy. Met. Soc. 132, 2505-2519.
7. FLETCHER, S.J., M. ZUPANSKI, 2006b: A hybrid normal and lognormal distribution for data assimilation. - Atmos. Sci. Lett. 7 43-46
8. HEYDE, C.C., 1963: On a property of the lognormal distribution. - J. Roy. Statist. Soc. Ser. B. 25, 392-393.
9. LORENC, A.C., 1986: Analysis methods for numerical weather prediction. - Quart. J. Roy. Meteor. Soc. 112, 1177-1194.
10. LORENZ, E.N., 1963: Deterministic nonperiodic flow. - J. Atmos. Sci. 20, 130-141.
11. JAZWINSKI, A.H., 1970: Stochastic Processes and Filtering Theory. - Academic Press, pp 376.
12. KALMAN. R.E., 1960: A new approach to linear filtering theory and prediction problems. - Trans. ASME, Ser. D, J. Basic Eng. 82, 35-45.
13. MIELKE, P.W., J.S. WILLIAMS, S.-C. WU, 1977: Covariance analysis techniques based upon bivariate lognormal distribution with weather modification applications. - J. Appl. Met. 16, 183-187.
14. MILES, N.L., J. VERLINDE, E.E. CLOTHIAUX, 2000: Cloud droplet size distribution in low-level stratiform clouds. - J. Atmos. Sci. 57, 295-311.
15. POLAVARAPU, S., S. REN, Y. ROCHEN, D. SANKEY, N. EK, J. KOSHYK, D. TARASICK, 2005: Dati assimilation with the Canadian middle atmosphere model. - Atmos.-Ocean 43, 77-100.
16. POLI, P., J. JOINER, E.R. KURINSKI, 2002: 1DVAR analysis of temperature and humidity using GPS radio occulation refractivity data. - J. Geophys. Res. 107(D20), 4444-4468.
17. SENGUPTA, M., E.E. CLOTHIAUX, T.P. ACKERMAN, 2004: Climatology of warm boundary layer clouds at the ARM SGP site and their comparisons to models. - J. Clim. 17, 4760-4782.
18. STEPHENS, G.L., D. G. VANE, R. J. BOAIN, G. G. MACE, K. SASSEN, Z. WANG, A. J. ILLINGWORTH, E. J. O'CONNOR, W. B. ROSSOW, S. L. DURDEN, S. D. MILLER, R. T. AUSTIN, A. BENEDETTI, C. MITRESCU, THE CLOUDSAT SCIENCE TEAM, 2002: The CLOUDSAT mission and the A-train. - Bull Amer. Meteor. Soc. 83, 1771-1190.
19. ZUPANSKI, M., 2005: Maximum Likelihood Ensemble Filter: Theoretical Aspects. - Mon. Wea. Rev. 133, 1710-1726.