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Nonparametric estimation of the expected duration of old age
Institution:1. School of Civil Engineering, Chongqing University, Chongqing 400045, China;2. Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China;3. Department of Civil Engineering, The Pennsylvania State University, Middletown, PA 17057, USA;1. Department of Physics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran;2. Advanced Surface Engineering and Nano Materials Research Center, Department of Physics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran;3. Department of Physics, Masjed-Soleiman Branch, Islamic Azad University, Masjed-Soleiman, Iran;1. Department of Biomedicine, University of Bergen, Norway;2. Department of Obstetrics and Gynecology, Haukeland University Hospital, Bergen, Norway;3. Department of Clinical Medicine, University of Bergen, Bergen, Norway;4. Department of Bioprocess Technology, SINTEF Materials and Chemistry, Trondheim, Norway
Abstract:A definition of the expected old age duration based on the concept of mean residual lifetime is proposed. A nonparametric estimation approach is then presented and shown to have asymptotically normal distribution which enables us to construct asymptotically distribution free confidence bands for the expected duration of old age.
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