The bias in moment estimators for parameters of drop-size distribution functions: Sampling from gamma distributions

11th Conference on Mesoscale Processes and the 32nd Conference on Radar Meteorology

Volumn , Issue , 2005, Pages 2071-2081

  Smith, Paul L ^a,c   Kliche, Donna V ^a   Johnson, Roger W ^b  

^a SOUTH DAKOTA SCHOOL OF MINES AND TECHNOLOGY   (United States)

^b South Dakota School of Mines and Technology   (United States)

^c Institute of Atmospheric Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MOMENT ESTIMATORS; RAINDROPAS; SAMPLING DISTRIBUTIONS;

DROP BREAKUP; FUNCTIONS; GAMMA RAYS; METHOD OF MOMENTS; MONTE CARLO METHODS; RAIN; SAMPLING;

PARAMETER ESTIMATION;

EID: 33745231743     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. Bowman, K.O., and L.R. Shenton, 1988: Properties of estimators for the gamma distribution. NY: Marcel Dekker, 268 pp.
2. Bringi, V.N. and V. Chandrasekar, 2001: Polarimetric Doppler Weather Radar. Cambridge, 636 pp.
3. Choi, S.C. and R. Wette, 1969: Maximum likelihood estimation of the parameters of the gamma distribution and their bias. Technometrics, 4, 683-690.
4. Gertzman, H.S., and D. Atlas, 1977: Sampling errors in the measurement of rain and hail parameters. J. Geophys. Res., 82, 4955-4966.
5. Haddad, Z.S., S.L. Durden and E. Im, 1996. Parameterizing the raindrop size distribution. J. Appl. Meteor., 35, 3-13.
6. Haddad, Z.S., D.A. Short, S.L. Durden, E. Im, S. Hensley, M.B. Grable and R.A. Black, 1997. A new parameterization of the rain drop size distribution. IEEE Trans. Geosci. Remote Sensing, 35, 532-539.
7. Joss, J., and E.G. Gori, 1978: Shapes of raindrop size distributions. J. Appl. Meteor, 17, 1054-1061.
8. Kozu, T. and K. Nakamura, 1991: Rainfall parameter estimation from dual-radar measurements combining reflectivity profile and pathintegrated attenuation. J. Atmos. Oceanic Tech., 8, 259-270.
9. Smith, P. L., 1982: On the graphical presentation of raindrop size data. Atmosphere-Ocean., 20, 4-16.
10. Smith, P. L., 2003: Raindrop size distributions: Exponential or gamma - does the difference matter? J. Appl. Meteorol., 42, 1031-1034.
11. st Conference on Radar Meteorology, Seattle, WA, Amer. Meteor. Soc., 47-50.
12. Smith, P. L. and D. V. Kliche, 2005: The bias in moment estimators for parameters of dropsize distribution functions: sampling from exponential distributions. J. Appl. Meteor., 44, 1195-1205.
13. Smith, P. L., Z. Liu and J. Joss, 1993: A study of sampling-variability effects in raindrop-size observations. J. Appl. Meteor., 32, 1259-1269.
14. Tokay, A. and D.A. Short, 1996: Evidence from tropical raindrop spectra of the origin of rain from stratiform versus convective clouds. J. Appl. Meteor., 35, 355-371.
15. Ulbrich, C.W., 1983: Natural variation in the analytical form of the raindrop size distribution. J. Climate Appl. Meteor., 22, 1764-1775.
16. 0 jump of raindrop spectra. J. Atmos. Sci., 31, 1067-1078.
17. Wallis, J.R., N.C. Matalas and J.R. Slack, 1974: Just a moment! Water Resources Res., 10, 211-219.
18. Zhang, G., J. Vivekanandan, E.A. Brandes, R. Meneghini and T. Kozu, 2003: The shape-slope relation in observed gamma raindrop size distributions: Statistical error or useful information? J. Atmos. Oceanic Tech., 20, 1106-1119.