User Manual for STABLE 5.1-This manual gives information about the STABLE library, which computes basic quantities for univariate

stable distributions: densities, cumulative distribution functions, quantiles, and simulation. Statistical

routines are given for fitting stable distributions to data and assessing the fit. Utility routines give information

about the program and perform related calculations. Quick spline approximations of the basic

functions are provided. Densities, cumulative distribution functions and simulation for discrete/quantized

stable distributions are described.

The multivariate module gives functions to compute bivariate stable densities, simulate stable random

vectors, and fit bivariate stable data. In the radially symmetric case, the amplitude densities, cumulative

distribution functions, quantiles are computed for dimension up to 100.

The signal filtering module includes functions to compute non-linear filters for signals with heavy tailed

noise. Specifically, a novel stable fi