| |  Online-Ressource |
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| Verfasst von: | Pantsulaia, Gogi  |
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| Titel: | Applications of Measure Theory to Statistics |
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| Verf.angabe: | by Gogi Pantsulaia |
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| Verlagsort: | [Cham] |
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| Verlag: | Springer |
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| Jahr: | 2016 |
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| Umfang: | Online-Ressource (XV, 134 p, online resource) |
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| Gesamttitel/Reihe: | SpringerLink : Bücher |
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| ISBN: | 978-3-319-45578-5 |
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| Abstract: | 1 Calculation of Improper Integrals by Using Uniformly Distributed Sequences -- 2 Infinite-Dimensional Monte-Carlo Integration -- 3 On structure of all real-valued sequences uniformly distributed in [-1/2;1/2] from the point of view of shyness -- 4 On Moore-Yamasaki-Kharazishvili type measures and the infinite powers of Borel diffused probability measures on R -- 5 On objective and strong objective consistent estimates of unknown parameters for statistical structures in a Polish group admitting an invariant metric -- 6 Why Null Hypothesis is rejected for “almost every” infinite sample by the Hypothesis Testing of a maximal reliability?. |
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| | This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach – naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates – helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics. |
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| DOI: | doi:10.1007/978-3-319-45578-5 |
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| URL: | Volltext ; Resolving-System: https://doi.org/10.1007/978-3-319-45578-5 |
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| | Volltext: http://dx.doi.org/10.1007/978-3-319-45578-5 |
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| | Cover ; Verlag: https://swbplus.bsz-bw.de/bsz482172215cov.jpg |
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| | Inhaltstext: https://zbmath.org/?q=an:1362.28001 |
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| | DOI: https://doi.org/10.1007/978-3-319-45578-5 |
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| Schlagwörter: | (s)Haar-Integral / (s)Maßtheorie / (s)Polnischer Raum |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Reproduktion: | Druckausg.: Pantsulaia, Gogi, 1960 -: Applications of measure theory to statistics. - Cham: Springer, 2016. - xv, 134 Seiten |
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| RVK-Notation: | SK 430 |
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| | SK 850 |
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| Sach-SW: | Integrals, Haar |
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| | Measure theory |
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| | Polish spaces (Mathematics) |
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| | Statistics |
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| K10plus-PPN: | 1655504967 |
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| Lokale URL UB: |  Zum Volltext |
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978-3-319-45578-5
Applications of Measure Theory to Statistics / Pantsulaia, Gogi; 2016 (Online-Ressource)
68075153
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