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The General Segmented Distribution

  • Vander Wielen Consulting Associates

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We develop a distribution supported on a bounded interval with a probability density function that is constructed from any finite number of linear segments. With an increasing number of segments, the distribution can approach any continuous density function of arbitrary form. The flexibility of the distribution makes it a useful tool for various modeling purposes. We further demonstrate that it is capable of fitting data with considerable precision - outperforming distributions recommended by previous studies. We suggest that this distribution is particularly effective in fitting data with sufficient observations that are skewed and multimodal.

Original languageEnglish
Pages (from-to)1994-2009
Number of pages16
JournalCommunications in Statistics - Theory and Methods
Volume44
Issue number10
DOIs
StatePublished - May 19 2015

Keywords

  • Model fitting
  • Probability distribution
  • Trapezoidal distribution, Triangular distribution

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