Generalized trapezoidal distributions. (English) Zbl 1021.60009
Summary: We present a construction and basic properties of a class of continuous distributions of an arbitrary form defined on a compact (bounded) set by concatenating in a continuous manner three probability density functions with bounded support using a modified mixture technique. These three distributions may represent growth, stability and decline stages of a physical or mental phenomenon.
MSC:
60E05 | Probability distributions: general theory |