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On the moments of order statistics coming from the Topp–Leone distribution
Institution:1. Department of Probability and Statistics, Beijing Institute of Technology, Beijing, 100081, China;2. Department of Statistics, North China University of Technology, Beijing, 100144, China;1. Department of Statistics and Operations Research, College of Sciences, Kuwait University, Kuwait;2. Department of Statistics, College of Science, Shiraz University, Iran;3. Faculty of Mathematics and Computer Science, Amirkabir University, Iran;1. Department of Economics, University of Texas at Austin, United States;2. Institute of Economics, Academia Sinica, Taiwan;3. Department of Economics, Central European University, Budapest, Hungary;4. Magyar Nemzeti Bank, Hungary;1. Nanyang Business School, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. Department of Economics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Abstract:We present recurrence relations for the moments of order statistics from the Topp–Leone distribution without any restriction for the shape parameter. Several relations are also derived when the shape parameter is an integer. An application of the results is provided.
Keywords:Coherent systems  Recurrence relations  Product moments  Single moments  Topp–Leone distribution
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