TY - JOUR AU - Zghoul, Ahmad A. PY - 2011/01/01 Y2 - 2024/03/29 TI - Record values from a family of J-shaped distributions JF - Statistica JA - Stat VL - 71 IS - 3 SE - Articles DO - 10.6092/issn.1973-2201/3619 UR - https://rivista-statistica.unibo.it/article/view/3619 SP - 355-365 AB - A family of J-shaped distributions has applications in life testing modeling. In this paper we study record values from this family of distributions. Based on lower records, recurrence relations and bounds as well as expressions for moments and product moments of record values are obtained, the maximum likelihood estimator of the shape parameter is derived and shown to be consistent, sufficient, complete and UMVU estimator. In addition, an application in reliability is given. ER -