Convergence in measure under finite additivity
نویسندگان
چکیده
منابع مشابه
Translation Invariance and Finite Additivity in a Probability Measure on the Natural Numbers
Inspired by the “two envelopes exchange paradox,” a finitely additive probability measure m on the natural numbers is introduced. The measure is uniform in the sense that m({i})=m({j}) for all i,j ∈N. The measure is shown to be translation invariant and has such desirable properties as m({i∈N | i≡ 0(mod2)})= 1/2. For any r ∈ [0,1], a set A is constructed such that m(A)= r ; however, m is not de...
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* This work was supported by the United States Air Force under contract No. AF18(600)-685, monitored by the Office of Scientific Research. l Linnik, Yu. V., "Linear Statistics and the Normal Distribution Law," Doklady Akad. Nauk SSSR (N.S.), 83, 353-355, 1952; "On Some Identically Distributed Statistics," ibid., 89, 9-11, 1953. 2 Doob, J. L., Stochastic Processes (New York: John Wiley & Sons, 1...
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ژورنال
عنوان ژورنال: Sankhya A
سال: 2013
ISSN: 0976-836X,0976-8378
DOI: 10.1007/s13171-013-0030-3