SEARCH

SEARCH BY CITATION

References

  • Ansell JI, Phillips MJ. 1994. Practical Methods for Reliability Data Analysis. Oxford Science Publications: Oxford; 210 pp.
  • Bain LJ, Engelhardt M. 1991. Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods, 2nd edn. Marcel Dekker: New York, NY; 496 pp.
  • Björkman M, Holmström K. 1999. Global optimization using the DIRECT algorithm in Matlab. Adv. Model. Opt. 1: 1737.
  • Blender R, Fraedrich K, Sienz F. 2008. Extreme event return times in long-term memory processes near 1/f. Nonlinear Proc. Geoph. 15: 557565.
  • Box GEP, Cox DR. 1964. An analysis of transformations. J. R. Stat. Soc. B26: 211252.
  • Butler CJ, Coughlin ADS, Fee DT. 1998. Precipitation at Armagh Observatory 1838–1997. Biol. Environ. Proc. R. Ir. Acad. 98B: 123140.
  • Butler CJ, Hoskin MA. 1987. The archives of Armagh Observatory. J. Hist. Astron. 18: 295307.
  • Coe R, Stern RD. 1982. Fitting models to daily rainfall data. J. Appl. Meteorol. 21: 10241031.
  • Cohen A Jr. 1959. Simplified estimators for the normal distribution when samples are singly censored or truncated. Technometrics 1: 217237.
  • Cohen AC. 1991. Truncated and Censored Samples: Theory and Applications. Marcel Dekker: New York, NY; 305 pp.
  • Cohn TA, DeLong LL, Gilroy EJ, Hirsch RM, Wells DK. 1989. Estimating constituent loads. Water Resour. Res. 25: 937942.
  • Cranley R, Patterson TNL. 1976. Randomization of number theoretic methods for multiple integration. SIAM J. Numer. Anal. 13: 904914.
  • DeGroot MH, Schervish MJ. 2002. Probability and Statistics. Addison Wesley: Boston, MA; 816 pp.
  • Fraedrich K, Blender R, Zhu X. 2009. Continuum climate variability: long-term memory, scaling, and 1/f-noise. Int. J. Mod. Phys. B23: 54035416.
  • Fraedrich K, Leslie LM. 1987. Evaluation of techniques for the operational, single station, short-term forecasting of rainfall at a midlatitude station (Melbourne). Mon. Weather Rev. 115: 16451654.
  • Fraedrich K, Leslie LM. 1988a. Real-time short-term forecasting of precipitation at an Australian tropical station. Weather Forecast. 3: 104114.
  • Fraedrich K, Leslie LM. 1988b. A minimal model for the short-term prediction of rainfall in the tropics. Weather Forecast. 3: 243246.
  • Genz A. 1992. Numerical computation of multivariate normal probabilities. J. Comput. Graph. Stat. 1: 141149.
  • Glasbery CA, Nevison IM. 1997. Rainfall modelling using a latent Gaussian variable. In Modelling Longitudinal and Spatially Correlated Data: Methods, Applications and Future Directions, Vol. 122, Lecture Notes in Statistics, Gregoire TG, Brillinger DR, Diggle PJ, Russek-Cohen E, Warren WG, Wolfinger RD. (eds). Springer: New York, NY; 233242.
  • Grew S. 1952. Meteorology at Armagh Observatory: general notes and a study of rainfall. Irish Astron. J. 1: 230237.
  • Haan CT, Allen DM, Street JO. 1976. A Markov chain model of daily rainfall. Water Resour. Res. 12: 443449.
  • Hess GD, Leslie LM, Guymer AE, Fraedrich K. 1989. Application of a Markov technique to the operational, short-term forecasting of rainfall. Aust. Meteorol. Mag. 37: 8391.
  • Hurst HE. 1951. Long-term storage capacity of reservoirs. Trans. Am. Soc. Civil Eng. 116: 770799.
  • Hurst HE, Black RP, Simaika YM. 1965. Long-Term Storage: An Experimental Study. Constable and Co., Ltd: London.
  • Jones DR, Perttunen CD, Stuckman BE. 1993. Lipschitzian optimization without the Lipschitz constant. J. Optimiz. Theory Appl. 79: 157181.
  • Kantelhardt JW, Koscielny-Bunde E, Rybski D, Braun P, Bunde A, Havlin S. 2006. Long-term persistence and multifractality of precipitation and river runoff record. J. Geophys. Res. 111: D01106, DOI: 10.1029/2005JD005881.
  • Katz RW. 1977. Precipitation as a chain-dependent process. J. Appl. Meteorol. 16: 671676.
  • Kelman J. 1977. Stochastic Modeling of Hydrologic Intermittent Daily Process, Hydrology Paper 89. Colorado State University: Fort Collins, CO.
  • Kwon H-H, Lall U, Khalil AF. 2007. Stochastic simulation model for nonstationary time series using an autoregressive wavelet decomposition: applications to rainfall and temperature. Water Resour. Res. 43: W05407, DOI: 10.1029/2006WR005258.
  • de Lima MIP, Grasman J. 1999. Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal. J. Hydrol. 220: 131.
  • Lovejoy S, Schertzer D. 2006. Multifractals, cloud radiances and rain. J. Hydrol. 322: 5988.
  • Lung IA, Grantham DD. 1977. Persistence, runs and recurrence of precipitation. J. Appl. Meteorol. 16: 346358.
  • Mandel M. 2007. Censoring and truncation—Highlighting the differences. Am. Stat. 61: 321324.
  • Mandelbrot BB, Wallis JR. 1968. Noah, Joseph, and operational hydrology. Water Resour. Res. 4(5): 909.
  • Mandelbrot BB, Wallis JR. 1969. Some long-run properties of geophysical records. Water Resour. Res. 5: 321340.
  • Marani M. 2003. On the correlation structure of continuous and discrete point rainfall. Water Resour. Res. 39: 1128, DOI: 10.1029/2002WR001456.
  • Marani M. 2005. Non-power-law-scale properties of rainfall in space and time. Water Resour. Res. 41: W08413, DOI: 10.1029/2004WR003822.
  • Mardia KV, Kent JT, Bibby JM. 1979. Multivariate Analysis. Academic Press: London.
  • Niederreiter H. 1972. On a number-theoretic integration method. Aequationes Math. 8: 304311.
  • Park JW, Genton MG, Ghosh SK. 2007. Censored time series analysis with autoregressive moving average models. Can. J. Stat. 35: 151168.
  • Paulin C, Dibike YB, Anctil F. 2005. Downscaling precipitation and temperature with temporal neural networks. J. Hydrometeorol. 6: 483496.
  • Peng C-K, Buldyrev SV, Havlin S, Simons M, Stanley HE, Goldberger AL. 1994. Mosaic organization of DNA nucleotides. Phys. Rev. E 49: 16851689.
  • Pezzulli S, Stephenson DB, Hannachi A. 2005. The variability of seasonality. J. Clim. 18: 7188.
  • Potter JW. 1979. Annual precipitation in the northeast United States: long memory, short memory, or no memory. Water Resour. Res. 15: 340346.
  • Poveda G. 2011. Mixed memory, (non) Hurst effect, and maximum entropy of rainfall in the tropical Andes. Adv. Water Resour. 34: 243256.
  • Rajagopalan B, Lall U, Tarboton DG. 1996. Inhomogeneous Markov model for daily precipitation. J. Hydrol. Eng. 1: 3340.
  • Rasheed H, Aldabagh AS, Ramamoorthy MV. 1983. Rainfall analysis by power transformation. J. Clim. Appl. Meteorol. 12: 14111415.
  • Salas JD, Fernandez B. 1993. Models for data generation in hydrology: univariate techniques. In Stochastic Hydrology and it's Use in Water Resources Systems Simulation and Optimization, Marco JB (ed.). Kluwer Academic Publisher: Dordrecht; 4673.
  • Sansom J. 1998. A hidden Markov model for rainfall using breakpoint data. J. Clim. 11: 4253.
  • Schoof JT, Pryor SC. 2001. Downscaling temperature and precipitation: comparison of regression-based methods and artificial neural networks. Int. J. Climatol. 21: 773790.
  • Sithole MM. 1997. Parameter estimation for randomly censored autocorrelated data, PhD thesis, School of Mathematics and Statistics, Curtin University of Technology: Perth, Australia.
  • Smith JA, Schreiber HA. 1974. Point processes of seasonal thunderstorm rainfall. 1. Distribution of rainfall events. Water Resour. Res. 10: 418423.
  • Srikanthan R, McMahon TA. 1980. Stochastic generation of monthly flows for ephemeral streams. J. Hydrol. 47: 1940.
  • Svensson C, Olsson J, Berndtsson R. 1996. Multifractal properties of daily rainfall in two different climates. Water Resour. Res. 32: 223250.
  • Taqqu MS, Teverovsky V, Willinger W. 1995. Estimators for long-range dependence: an empirical study. Fractals 3: 785798.
  • Thomas HA Jr, Fiering MB. 1962. Mathematical synthesis of streamflow sequences for analysis of river basin by simulation. In The Design of Water Resources Systems, Maas A. (ed). Harvard University Press: Cambridge, MA; 559493.
  • Todorovic P, Woolhiser DA. 1975. Stochastic model of n-day precipitation. J. Appl. Meteorol. 14: 1724.
  • Tokar AS, Markus M. 2000. Precipitation-runoff modeling using artificial neural networks and conceptual models. J. Hydrol. Eng. 5: 156161.
  • Vardi Y. 1985. Empirical distributions in selection bias models. Ann. Stat. 13: 178203.
  • Wang G, Jiang T, Blender R, Fraedrich K. 2008. Yangtze 1/f discharge variability and the interacting river-lake system. J. Hydrol. 351: 230237.
  • Zeger SL, Brookmeyer R. 1986. Regression analysis with censored autocorrelated data. J. Am. Stat. Assoc. 81: 722729.
  • Zorita E, von Storch H. 1999. The analog method as a simple statistical downscaling technique: comparison with more complicated methods. J. Clim. 12: 24742489.