COMPARACIÓN DE DIFERENTES DISTRIBUCIONES TRAPEZOIDALES, MEDIANTE SUS MOMENTOS Y DIAGRAMAS DE COCIENTE DE MOMENTOS

Abstract

The rapezoidal distribution is used as probabilistic model in many and varied problems that present a first phase of growth, followed by a phase of stability and finished with a third phase of buffer. This paper introduces three different trapezoidal distributions that use the three typical subjective estimates of the PERT method, about the minimum, maximum, and most likely values of a variable. The main objective of this paper is to make a comparative analysis between these three distributions, using its stochastic characteristics, to select the one that best fits to a particular problem: prediction of the duration of work, selection of the most profitable investment, valuation of assets, etc. Moment ratio diagrams are studied, as a complementary tool, to determine which of them enjoys greater flexibility. The computer implementation has been essential in the comparative analysis, due to the complexity of the calculation of the coefficients of variation of Pearson, skewness and kurtosis and the own graphic representations of the moment ratio diagrams. [PUBLICATION ABSTRACT]