On Intractability in G-Class of Lifetime Probability Distributions: Properties and Applications

Abstract

This research seeks to project the relevance of incorporating intractability in G-Class probability model development. Juchez distribution represents intractability among the conventional tractable distributions, as comparatively studied in their different G-Class dimensions. Some properties were derived; although nonintegrable properties really were a confirmation note to the intractable nature of the distribution. The L-shape hazard function as a special feature across the G-Class derived distributions suggests that the distribution is fit to model outcomes that do not wear out as time or cycle elapses. Finally, the performance comparison reveals that intractability could be embraced in the development of probability models, as the derived distributions showed to be a better fit than the existing G-class baseline-tractable distributions.