A simple relation between the Leimkuhler curve and the mean residual life |
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| Authors: | N Balakrishnan José María Sarabia Nikolai Kolev |
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| Institution: | 1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1;2. Department of Economics, University of Cantabria, 39005 Santander, Spain;3. Department of Statistics, University of Sao Paulo, Brazil;1. WISE Lab, Faculty of Humanities and Social Sciences, Dalian University of Technology, Dalian 116085, China;2. School of Public Administration and Law, Dalian University of Technology, Dalian 116085, China;3. DUT – Drexel Joint Institute for the Study of Knowledge Visualization and Scientific Discovery, Dalian University of Technology, Dalian 116085, China;1. Centre for Actuarial Studies, Department of Economics, The University of Melbourne, Australia;2. Department of Quantitative Methods, University of Las Palmas de Gran Canaria, 35017-Las Palmas de Gran Canaria, Spain;1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India;2. Department of Mathematics, Jadavpur University, Kolkata 700032, India |
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| Abstract: | In this paper, a simple relation between the Leimkuhler curve and the mean residual life is established. The result is illustrated with several models commonly used in informetrics, such as exponential, Pareto and lognormal. Finally, relationships with some other reliability concepts are also presented. |
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