Affiliation:
1. Department of Quantitative Methods in Economics and TiDES Institute University of Las Palmas de Gran Canaria 35017-Las Palmas de G.C. Las Palmas Spain
2. Department of Statistics and Operations Research Faculty of Science Kuwait University Kuwait City Kuwait
Abstract
Abstract
The Marshall-Olkin family of probability distributions has been the inspiration of numerous research publications in the field of probability distributions. In this paper, we present several new properties of this family. In particular, we focus on stochastic orders, stress-strength reliability, Lorenz and the Leimkhuler curves, compounding, and integrated tail distribution. Two applications related to Lorenz curves and ruin theory are finally presented.