An evaluation of procedures to estimate monthly precipitation probabilities

Abstract Many frequency distributions have been used to evaluate monthly precipitation probabilities. Eight of these distributions (including Pearson type III, extreme value, and transform normal probability density functions) are comparatively examined to determine their ability to represent accurately variations in monthly precipitation totals for global hydroclimatological analyses. Results indicate that a modified version of the Box-Cox transform-normal distribution more adequately describes the ‘true’ precipitation distribution than does any of the other methods. This assessment was made using a cross-validation procedure for a global network of 253 stations for which at least 100 years of monthly precipitation totals were available.

[1]  G. Sumner.  Precipitation: Process and Analysis , 1988 .

[2]  Donthamsetti Veerabhadra Rao.  Log Pearson Type 3 Distribution: A Generalized Evaluation , 1980 .

[3]  A. Jenkinson.  The frequency distribution of the annual maximum (or minimum) values of meteorological elements , 1955 .

[4]  A. Öztürk.  On the Study of a Probability Distribution for Precipitation Totals , 1981 .

[5]  David M. Hershfield,et al.  An empirical comparison of the predictive value of three extreme-value procedures , 1962 .

[6]  Donthamsetti Veerabhadra Rao.  Log Pearson Type 3 Distribution: Method of Mixed Moments , 1980 .

[7]  Raymond H. Myers,et al.  Probability and Statistics for Engineers and Scientists. , 1973 .

[8]  S. Schneider,et al.  Extreme High-Temperature Events: Changes in their probabilities with Changes in Mean Temperature , 1984 .

[9]  H. C. S. Thom,et al.  a Note on the Gamma Distribution , 1958 .

[10]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[11]  D. Legates,et al.  Mean seasonal and spatial variability in gauge‐corrected, global precipitation , 1990 .

[12]  Trevor Dickinson.  Rainfall intensity-frequency relationships from monthly extremes , 1977 .

[13]  E. J. Gumbel,et al.  Statistics of Extremes. , 1960 .

[14]  David R. Legates,et al.  A climatology of global precipitation , 1987 .

[15]  M. A. Kohler,et al.  Hydrology for engineers , 1958 .

[16]  K. Majumdar,et al.  Estimates of extreme values by different distribution functions , 1965 .

[17]  C. K. Stidd.  Estimating the precipitation climate , 1973 .

[18]  Enrique Castillo.  Extreme value theory in engineering , 1988 .

[19]  J. Eischeid,et al.  Precipitation fluctuations over global land areas since the late 1800's , 1989 .

[20]  J. K. Ord,et al.  Families of frequency distributions , 1973 .

[21]  J. Eischeid,et al.  Precipitation Fluctuations over Northern Hemisphere Land Areas Since the Mid-19th Century , 1987, Science.

[22]  R. H. Myers,et al.  Probability and Statistics for Engineers and Scientists , 1978 .