Open AccessExact laws of large numbers for independent Pareto random variables
Author(s) -
Toshio Nakata
Publication year - 2017
Publication title -
bulletin of the institute of mathematics academia sinica new series
Language(s) - English
Resource type - Journals
eISSN - 2304-7909
pISSN - 2304-7895
DOI - 10.21915/bimas.2017403
Subject(s) - pareto principle , random variable , law of large numbers , mathematics , lomax distribution , sum of normally distributed random variables , variables , independent and identically distributed random variables , mathematical economics , statistics
This article explores weighted laws of large numbers, namely exact laws, for independent Pareto distributions with infinite mean. It contains not only exact weak laws but also exact strong laws. Moreover, we give a simple example of the exact strong law applying the algorithm of Adler and Wittmann (1994).
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