Spline histogram method for reconstruction of probability density function of clusters of galaxies

Details Spline histogram method for reconstruction of probability density function of clusters of galaxies Spline histogram method for reconstruction of probability density function of clusters of galaxies

2003-02-28

arxiv.org/abs/astro-ph/0302605v1

Astronomy and Astrophysics

Astrophysics

8 pages, 3 figures, to be published in "Galaxies and Chaos: Theory and Observations", eds. N.Voglis, G.Contoupoulos, conferenc

Scientific paper

We describe the spline histogram algorithm which is useful for visualization of the probability density function setting up a statistical hypothesis for a test. The spline histogram is constructed from discrete data measurements using tensioned cubic spline interpolation of the cumulative distribution function which is then differentiated and smoothed using the Savitzky-Golay filter. The optimal width of the filter is determined by minimization of the Integrated Square Error function. The current distribution of the TCSplin algorithm written in f77 with IDL and Gnuplot visualization scripts is available from http://www.virac.lv/en/soft.html

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