Applications of Measure Theory to Statistics

Author:   Gogi Pantsulaia
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319455778


Pages:   134
Publication Date:   04 January 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Applications of Measure Theory to Statistics


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Author:   Gogi Pantsulaia
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   3.554kg
ISBN:  

9783319455778


ISBN 10:   331945577
Pages:   134
Publication Date:   04 January 2017
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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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Author Information

Gogi Rauli Pantsulaia graduated with a degree in Mathematics from the Iv. Javakhishvili Tbilisi State University (Georgia) in 1982, and received his Ph.D. in Mathematics from the Institute of Mathematics of the Ukrainian Academy of Sciences in 1985.  In 2003 he completed his degree of doctor of physics and mathematics at the I. Vekua Institute of Applied Mathematics of the Iv. Javakhishvili Tbilisi State University (Georgia). He is currently a professor at the Department of Mathematics of the Georgian Technical University. He has participated in more than 10 major research projects and is the author of 4 books and more than 75 papers. His current research interests include set theory, measure theory, probability theory and mathematical statistics.

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