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03180nam a22005175i 4500 |
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978-3-319-45578-5 |
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DE-He213 |
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20161222131640.0 |
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cr nn 008mamaa |
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161222s2016 gw | s |||| 0|eng d |
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|a 9783319455785
|9 978-3-319-45578-5
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|a 10.1007/978-3-319-45578-5
|2 doi
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|a QA276-280
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|a PBT
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|a MAT029000
|2 bisacsh
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|a 519.5
|2 23
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|a Pantsulaia, Gogi.
|e author.
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|a Applications of Measure Theory to Statistics
|h [electronic resource] /
|c by Gogi Pantsulaia.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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| 300 |
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|a XV, 134 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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|a 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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|a 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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| 650 |
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|a Statistics.
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| 650 |
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|a Mathematical analysis.
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| 650 |
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|a Analysis (Mathematics).
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Topology.
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| 650 |
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|a Mathematical physics.
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| 650 |
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4 |
|a Statistics.
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| 650 |
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4 |
|a Statistical Theory and Methods.
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| 650 |
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|a Applications of Mathematics.
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| 650 |
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4 |
|a Analysis.
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| 650 |
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4 |
|a Mathematical Physics.
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| 650 |
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|a Topology.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783319455778
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-319-45578-5
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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