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Titlebook: Applications of Measure Theory to Statistics; Gogi Pantsulaia Book 2016 Springer International Publishing Switzerland 2016 NHST.Objective

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https://doi.org/10.1007/978-3-319-45578-5NHST; Objective estimations of an unknown parameter; Harr null set; Haar ambivalent set; Measure Thoery;
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Calculation of Improper Integrals by Using Uniformly Distributed Sequences,o a maximal set of uniformly distributed sequences in (0, 1) that strictly contains the set of all sequences having the form . for some irrational number . and having the full .-measure, where . denotes the infinite power of the linear Lebesgue measure . in (0, 1).
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Structure of All Real-Valued Sequences Uniformly Distributed in , from the Point of View of Shyness which .. In the present chapter the same set is studied from the point of view of shyness and it is demonstrated that it is shy in .. In the Solovay model, the structure of the set of all sequences uniformly distributed modulo 1 in . is studied from the point of view of shyness and it is shown that
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,On Moore–Yamasaki–Kharazishvili Type Measures and the Infinite Powers of Borel Diffused Probabilitymeasures and infinite powers of Borel diffused probability measures on .. More precisely, there is given Yamasaki’s proof that no infinite power of the Borel probability measure with a strictly positive density function on . has an equivalent Moore–Yamasaki–Kharazishvili type measure. A certain modi
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Objective and Strong Objective Consistent Estimates of Unknown Parameters for Statistical Structureng objective and strong objective estimates of unknown parameters are introduced in a Polish nonlocally compact group admitting an invariant metric and relations between them are studied in this chapter. An example of a weakly separated statistical structure is constructed for which a question askin
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