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- W189670014 abstract "This is an expository paper devoted primarily to a presentation of the historical development and (virtually complete) solution of what is known as the Sn/n Problem. A family of zero-mean X-distributions is given to illustrate our Sn/n results. For many distributions in this family, three seemingly incompatible statements hold simultaneously: As may be apparent from the above, advances in several areas have occurred as a consequence of the progress made on this problem. Two outgrowths stressed here include: a completely new generalization of the Law of the Iterated Logarithm which applies to all i.i.d. mean zero random variables evidence of the fundamental character of extended-valued stopping rules. An important outgrowth not elaborated on here involves a method developed by this author of approximating the expectation Ef (|Wn|) of a function f of the absolute value of a sum Wn = Y1 +…+Yn of independent random variables." @default.
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- W189670014 date "1975-01-01" @default.
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- W189670014 title "A Survey of the Sn/n Problem" @default.
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- W189670014 doi "https://doi.org/10.1016/b978-0-12-568002-8.50015-x" @default.
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