B. Bacchi, R. Ranzi, and M. Borga, Statistical characterization of spatial patterns of rainfall cells in extratropical cyclones, D101), pp.26277-26286, 1996.
DOI : 10.1029/96JD01381

S. G. Cornford, Sampling errors in measurements of raindrop and cloud droplet concentrations, Meteorol. Mag, vol.96, pp.271-282, 1967.

D. R. Cox and V. Isham, Point processes, p.188, 1980.

N. A. Cressie, Statistics for spatial data, 1991.
DOI : 10.1002/9781119115151

N. Desaulniers-soucy, S. Lovejoy, and D. Schertzer, The HY- DROP experiment: An empirical method for the determination of the continuum limit in rain, Atmos. Res, pp.59-60, 2001.

F. Fabry, On the determination of scale ranges for precipitation fields, Journal of Geophysical Research: Atmospheres, vol.46, issue.D8, pp.12819-12826, 1996.
DOI : 10.1029/96JD00718

M. Gabella and G. Perona, Reply, Journal of Applied Meteorology, vol.40, issue.11, pp.2099-2099, 2001.
DOI : 10.1175/1520-0450(2001)040<2099:R>2.0.CO;2

M. Gabella, S. Pavone, and G. Perona, Errors in the Estimate of the Fractal Correlation Dimension of Raindrop Spatial Distribution, Journal of Applied Meteorology, vol.40, issue.3, pp.664-668, 2001.
DOI : 10.1175/1520-0450(2001)040<0664:EITEOT>2.0.CO;2

F. Garwood, THE VARIANCE OF THE OVERLAP OF GEOMETRICAL FIGURES WITH REFERENCE TO A BOMBING PROBLEM, Biometrika, vol.34, issue.1-2, pp.1-17, 1947.
DOI : 10.1093/biomet/34.1-2.1

H. R. Gertzman and D. Atlas, Sampling errors in the measurement of rain and hail parameters, Journal of Geophysical Research, vol.31, issue.6, pp.4955-4966, 1977.
DOI : 10.1029/JC082i031p04955

P. Grassberger and I. Procaccia, Characterization of Strange Attractors, Physical Review Letters, vol.50, issue.5, pp.346-349, 1983.
DOI : 10.1103/PhysRevLett.50.346

P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physica D: Nonlinear Phenomena, vol.9, issue.1-2, pp.189-20810, 1983.
DOI : 10.1016/0167-2789(83)90298-1

A. R. Jameson, A New Characterization of Rain and Clouds: Results from a Statistical Inversion of Count Data, Journal of the Atmospheric Sciences, vol.64, issue.6, pp.2012-2028, 2007.
DOI : 10.1175/JAS3950.1

A. R. Jameson and A. B. Kostinski, Fluctuation Properties of Precipitation. Part II: Reconsideration of the Meaning and Measurement of Raindrop Size Distributions, Journal of the Atmospheric Sciences, vol.55, issue.2, pp.283-294, 1998.
DOI : 10.1175/1520-0469(1998)055<0283:FPOPPI>2.0.CO;2

A. R. Jameson and A. B. Kostinski, What is a Raindrop Size Distribution?, Bulletin of the American Meteorological Society, vol.82, issue.6, pp.1169-1177, 2001.
DOI : 10.1175/1520-0477(2001)082<1169:WIARSD>2.3.CO;2

A. R. Jameson and A. B. Kostinski, Comments on ???Errors in the Estimate of the Fractal Correlation Dimension of Raindrop Spatial Distribution???, Journal of Applied Meteorology, vol.40, issue.11, pp.2098-2098, 2001.
DOI : 10.1175/1520-0450(2001)040<2098:COEITE>2.0.CO;2

J. Joss and A. Waldvogel, Raindrop Size Distribution and Sampling Size Errors, Journal of the Atmospheric Sciences, vol.26, issue.3, pp.566-569, 1969.
DOI : 10.1175/1520-0469(1969)026<0566:RSDASS>2.0.CO;2

Y. Y. Kagan, Earthquake spatial distribution: the correlation dimension, Geophysical Journal International, vol.168, issue.3, pp.1175-1194, 2007.
DOI : 10.1111/j.1365-246X.2006.03251.x

M. G. Kendall and P. A. Moran, Geometrical probability, pp.102-118, 1963.

A. B. Kostinski and A. R. Jameson, Fluctuation Properties of Precipitation. Part I: On Deviations of Single-Size Drop Counts from the Poisson Distribution, Journal of the Atmospheric Sciences, vol.54, issue.17, pp.2174-2186, 1997.
DOI : 10.1175/1520-0469(1997)054<2174:FPOPPI>2.0.CO;2

A. B. Kostinski and R. A. Shaw, Fluctuations and Luck in Droplet Growth by Coalescence, Bulletin of the American Meteorological Society, vol.86, issue.2, pp.235-244, 2005.
DOI : 10.1175/BAMS-86-2-235

A. B. Kostinski, M. L. Larsen, J. , and A. R. , The texture of rain: Exploring stochastic micro-structure at small scales, Journal of Hydrology, vol.328, issue.1-2, pp.38-45, 2006.
DOI : 10.1016/j.jhydrol.2005.11.035

M. L. Larsen, A. B. Kostinski, and A. Tokay, Observations and Analysis of Uncorrelated Rain, Journal of the Atmospheric Sciences, vol.62, issue.11, pp.4071-4083, 2005.
DOI : 10.1175/JAS3583.1

J. Lavergnat and P. Golé, A Stochastic Raindrop Time Distribution Model, Journal of Applied Meteorology, vol.37, issue.8, pp.805-818, 1998.
DOI : 10.1175/1520-0450(1998)037<0805:ASRTDM>2.0.CO;2

M. Leonard, A. V. Metcalfe, and M. F. Lambert, Efficient simulation of a space-time Neyman-Scott rainfall model, Water Resources Research, vol.19, issue.6, pp.10-1029, 2006.
DOI : 10.1029/2006WR004986

M. Lilley, S. Lovejoy, N. Desaulniers-soucy, and D. Schertzer, Multifractal large number of drops limit in rain, Journal of Hydrology, vol.328, issue.1-2, pp.20-37, 2006.
DOI : 10.1016/j.jhydrol.2005.11.063

S. Lovejoy and D. Schertzer, Fractals, Raindrops and Resolution Dependence of Rain Measurements, Journal of Applied Meteorology, vol.29, issue.11, pp.1167-1170, 1990.
DOI : 10.1175/1520-0450(1990)029<1167:FRARDO>2.0.CO;2

S. Lovejoy and D. Schertzer, Multifractals, universality classes and satellite and radar measurements of cloud and rain fields, Journal of Geophysical Research, vol.92, issue.D3, pp.2021-2034, 1990.
DOI : 10.1029/JD095iD03p02021

S. Lovejoy and D. Schertzer, Stereophotography of rain drops and compound Poisson -cascade processes, Preprints of the 12th Conference on Cloud Physics, 2006.

S. Lovejoy and D. Schertzer, Turbulence, rain drops and the l 1/2 number density law, New J. Phys, vol.1010, issue.7, pp.10-1088, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00742387

S. Lovejoy, M. Lilley, N. Desaulniers-soucy, and D. Schertzer, Large particle number limit in rain, Physical Review E, vol.68, issue.2, pp.25301-25302, 2003.
DOI : 10.1103/PhysRevE.68.025301
URL : https://hal.archives-ouvertes.fr/hal-00711791

J. S. Marshall and W. Hitschfeld, Interpretation of the fluctuating echo from randomly distributed scatterers. Part I, Can, J. Phys, vol.31, pp.962-994, 1953.

J. S. Marshall and W. M. Palmer, THE DISTRIBUTION OF RAINDROPS WITH SIZE, Journal of Meteorology, vol.5, issue.4, pp.165-166, 1948.
DOI : 10.1175/1520-0469(1948)005<0165:TDORWS>2.0.CO;2

J. M. Porrà, S. Torres, D. And-creutin, J. Gupta, V. K. Barndorff-nielsen et al., MODELING OF DROP SIZE DISTRIBUTION AND ITS APPLICATIONS TO RAINFALL MEASUREMENTS FROM RADAR, pp.73-84, 1998.
DOI : 10.1142/9789812839725_0003

H. R. Pruppacher and J. D. Klett, Microphysics of Clouds and Precipitation, Aerosol Science and Technology, vol.28, issue.4, 1978.
DOI : 10.1080/02786829808965531

R. R. Rogers and M. K. Yau, A short course in cloud physics, 1996.

L. A. Santaló, Integral geometry and geometric probability, 1979.

Y. Sasyo, On the probabilistic analysis of precipitation particles, Proceedings of the International Conference on Cloud Physics, pp.254-259, 1965.

D. Schertzer and S. Lovejoy, Generalised scale invariance and multiplicative processes in the atmosphere, Pure and Applied Geophysics PAGEOPH, vol.11, issue.1, pp.57-81, 1989.
DOI : 10.1007/BF00877737

J. A. Smith, Marked Point Process Models of Raindrop-Size Distributions, Journal of Applied Meteorology, vol.32, issue.2, pp.284-296, 1993.
DOI : 10.1175/1520-0450(1993)032<0284:MPPMOR>2.0.CO;2

P. L. Smith, Z. Liu, J. , and J. , A Study of Sampling-Variability Effects in Raindrop Size Observations, Journal of Applied Meteorology, vol.32, issue.7, pp.1259-1269, 1993.
DOI : 10.1175/1520-0450(1993)032<1259:ASOSVE>2.0.CO;2

D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and Its Applications., Biometrics, vol.45, issue.2, pp.122-131, 1987.
DOI : 10.2307/2531521

J. Theiler, Efficient algorithm for estimating the correlation dimension from a set of discrete points, Physical Review A, vol.36, issue.9, pp.4456-4462, 1987.
DOI : 10.1103/PhysRevA.36.4456

R. Uijlenhoet, S. Torres, and D. , Measurement and parameterization of rainfall microstructure, Journal of Hydrology, vol.328, issue.1-2, pp.1-7, 2006.
DOI : 10.1016/j.jhydrol.2005.11.038

R. Uijlenhoet, J. N. Stricker, P. J. Torfs, and J. And-creutin, Towards a stochastic model of rainfall for radar hydrology: testing the poisson homogeneity hypothesis, Physics and Chemistry of the Earth, Part B: Hydrology, Oceans and Atmosphere, vol.24, issue.6, pp.747-755, 1999.
DOI : 10.1016/S1464-1909(99)00076-3

R. Uijlenhoet, J. M. Porrà, S. Torres, D. And-creutin, and J. , Analytical solutions to sampling effects in drop size distribution measurements during stationary rainfall: Estimation of bulk rainfall variables, Journal of Hydrology, vol.328, issue.1-2, pp.65-82, 2006.
DOI : 10.1016/j.jhydrol.2005.11.043
URL : https://hal.archives-ouvertes.fr/insu-00385891

P. R. Wallace, INTERPRETATION OF THE FLUCTUATING ECHO FROM RANDOMLY DISTRIBUTED SCATTERERS. II, Canadian Journal of Physics, vol.31, issue.6, pp.995-1009, 1953.
DOI : 10.1139/p53-085

I. Zawadzki, Is rain fractal?, pp.104-108, 1995.
DOI : 10.1017/CBO9780511564482.010