Computer routines for probability distributions, random numbers, and related functions
Water-Resources Investigations Report
83-4257
By: W. Kirby
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Abstract
Use of previously coded and tested subroutines simplifies and speeds up program development and testing. This report presents routines that can be used to calculate various probability distributions and other functions of importance in statistical hydrology. The routines are designed as general-purpose Fortran subroutines and functions to be called from user-written main progress. The probability distributions provided include the beta, chi-square, gamma, Gaussian (normal), Pearson Type III (tables and approximation), and Weibull. Also provided are the distributions of the Grubbs-Beck outlier test, Kolmogorov 's and Smirnov 's D, Student 's t, noncentral t (approximate), and Snedecor F. Other mathematical functions include the Bessel function, I sub o, gamma and log-gamma functions, error functions, and exponential integral. Auxiliary services include sorting and printer-plotting. Random number generators for uniform and normal numbers are provided and may be used with some of the above routines to generate numbers from other distributions. (USGS)
Suggested Citation
Kirby, W., 1983, Computer routines for probability distributions, random numbers, and related functions: U.S. Geological Survey Water-Resources Investigations Report 83-4257, iv, 18 p. ;28 cm., https://doi.org/10.3133/wri834257.
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Computer routines for probability distributions, random numbers, and related functions |
| Series title | Water-Resources Investigations Report |
| Series number | 83-4257 |
| DOI | 10.3133/wri834257 |
| Year Published | 1983 |
| Language | ENGLISH |
| Publisher | U.S. Geological Survey, |
| Description | iv, 18 p. ;28 cm. |