6533b859fe1ef96bd12b7fe8

RESEARCH PRODUCT

Spline Histogram Method for Reconstruction of Probability Density Functions of Clusters of Galaxies

Dmitrijs DocenkoKarlis Berzins

subject

PhysicsCumulative distribution functionMathematicsofComputing_NUMERICALANALYSISProbability density functionAstrophysicsVisualizationSpline (mathematics)Computer Science::GraphicsHistogramMinificationSpline interpolationAlgorithmComputingMethodologies_COMPUTERGRAPHICSStatistical hypothesis testing

description

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 this http URL

yearjournalcountryeditionlanguage
2003-01-01
https://doi.org/10.1007/978-3-540-45040-5_24