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In this paper we introduce a new flexible class of distributions with boundedsupport, called reflected Generalized Topp-Leone Power Series (rGTL-PS),obtained by compounding the reflected Generalized Topp-Leone (van Drop andKotz, 2006) and the family of Power Series distributions. The proposed classincludes, as special cases, some new distributions with limited support such asthe rGTL-Logarithmic, the rGTL-Geometric, the rGTL-Poisson and rGTL-Binomial.This work is an attempt to partially fill a gap regarding the presence, in theliterature, of continuous distributions with bounded support, which insteadappear to be very useful in many real contexts, included the reliability. Someproperties of the class, including moments, hazard rate and quantile areinvestigated. Moreover, the maximum likelihood estimators of the parameters areexamined and the observed Fisher information matrix provided. Finally, in orderto show the usefulness of the new class, some applications to real data arereported.

A new distribution function with bounded support: the reflected Generalized Topp-Leone Power Series distribution