, ; ; ; "ActiveFedora::Aggregation::ListSource" . a , ; "A Law of Large Numbers for Large Economies"; ; "batchuser@example.com"; "Uhlig, Harald, 1961-"; "Federal Reserve Bank of Minneapolis"; "Random variable", "Large numbers", "L2 law of large numbers", "Riemann integral", "Khinchines law of large numbers", "Pettis integral"; "C10 - Econometric and Statistical Methods and Methodology: General"; "[Please note that the following Greek lettering is improperly transcribed.] If [0,1] is a measure space of agents and X---- a collection of pairwise uncorrelated random variables with common finite mean U and variance a , one would like to establish a law of large numbers (*) Xdl = U. In this paper we propose to interpret (*) as a Pettis integral. Using the corresponding Riemann-type version of this integral, we establish (*) and interpret it as an L2-law of large numbers. Intuitively, the main idea is to integrate before drawing an W, thus avoiding well-know measurability problems. We discuss distributional properties of i.i.d. random shocks across the population. We given examples for the economic interpretability of our definition. Finally, we establish a vector-valued version of the law of large numbers for economies."^^; "1988-08"; "2018-03-13T20:46:26.801929696+00:00"^^; "https://doi.org/10.21034/wp.342"; ; "https://creativecommons.org/licenses/by-nc/4.0/"; "2020-05-08T18:10:55.264576736+00:00"^^; "19870200fedmwp342"; "https://creativecommons.org/licenses/by-nc/4.0/"; "Research Paper"; "802"; "Working paper (Federal Reserve Bank of Minneapolis. Research Department)"; "342"; "Random variable", "L2 law of large numbers", "Large numbers", "Pettis integral", "Riemann integral", "Khinchines law of large numbers"; ; ; ; ; "Federal Reserve Bank of Minneapolis. Research Department"; "Published in: _Economic Theory_ (vol. 8, 1996, pp. 41-50), https://doi.org/10.1007/BF01212011."^^; ; "Publication" . ; ; . ; ; .