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The 3 Parameter Triangle Distribution 4 Formulas
The 3 Parameter Triangle Distribution 4 Formulas
This is part of a short series on the common distributions.
The Triangle distribution is univariate continuous distribution. This short article focuses on 4 formulas of the triangle distribution.
The distribution becomes a standard triangle distribution when a = 0, b = 1, thus it has a mean at the sqrt(c/2)and the median is at 1 — sort((1-c)/2). The distribution becomes a symmetrical triangle distribution when c = (b-a)/2.
The triangle distribution is used to approximate distributions when the actual distribution is unknown and bounded, often useful for Monte Carlo simulations. Other applications include subjective representation when there is evidence of bounds and a mode, or as a substitution to the beta distribution since it is bounded.
If you want to know more about fitting a set of data to a distribution, well that is in another article.
This article has the essential formulas that you may find useful when answering specific questions. Knowing a distribution’s set of parameters does provide, along with the right formulas, a quick means to answer a wide range of reliability related questions.
