Applications of Measure Theory to Statistics / / by Gogi Pantsulaia
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| Autore: |
Pantsulaia Gogi
|
| Titolo: |
Applications of Measure Theory to Statistics / / by Gogi Pantsulaia
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Edizione: | 1st ed. 2016. |
| Descrizione fisica: | 1 online resource (XV, 134 p.) |
| Disciplina: | 519.5 |
| Soggetto topico: | Statistics |
| Mathematics | |
| Mathematical analysis | |
| Mathematical physics | |
| Topology | |
| Statistical Theory and Methods | |
| Applications of Mathematics | |
| Analysis | |
| Mathematical Physics | |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
| Nota di contenuto: | 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?. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Applications of measure theory to statistics |
| ISBN: | 9783319455785 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910156339203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |