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On convergence of randomly indexed sequences; a counterexample based on the St. Petersburg game
Institution:1. Department of Statistics, Federal University of Espírito Santo, Vitǿria, Brazil;2. Department of Mathematics and Statistics, University of São Paulo, São Paulo, Brazil;3. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada;4. Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia;1. Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand;2. School of Mathematics, University of Manchester, Manchester M13 9PL, UK;1. Division of Biostatistics and Epidemiology, University of Massachusetts, Amherst, MA 01003, USA;2. Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115, USA;1. Department of Mathematics and Computer Science, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark;2. Institut Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg cedex, France;3. Department of Mathematical Statistics and Actuarial Science, University of the Free State, 205 Nelson Mandela drive, Park West, 9300 Bloemfontein, South Africa;1. Mathematics Research Unit, University of Luxembourg, Campus Kirchberg, 6 rue Richard Coudenhove-Kalergi, L-1359 Luxembourg, Grand-Duchy of Luxembourg, Luxembourg;2. Faculté des Sciences de Tunis, Campus Universitaire 2092 - El Manar Tunis, Tunisie
Abstract:
Keywords:Random index  St  Petersburg game  Sums of i  i  d  random variables
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