Theory of UStatistics and their applications
Theory of UStatistics and their applications is a set of lectures within Mathematics for daTa scieNce study plan

Bio
Anand Vidyashankar's primary research interests involve biostatistics, statistics, and biotechnology, statistical models for the Internet, statistics in finance, data confidentiality, probability, and stochastic processes. The National Science Foundation and industry partners support his research.Prerequisites
 Probability
 Statistical Inference
Aim
These set of lectures provide an introduction to the ideas and methods of Ustatistics
Syllabus
The theory of Ustatistics goes back to the fundamental work of Hoeffding, in which he proved the central limit theorem. During last forty years the interest to this class of random variables has been permanently increasing, and thus, the new intensively developing branch of probability theory has been formed. The Ustatistics are one of the universal objects of the modem probability theory of summation. On the one hand, they are more complicated “algebraically” than sums of independent random variables and vectors, and on the other hand, they contain essential elements of dependence which display themselves in the martingale properties. In addition, the Ustatistics as an object of mathematical statistics occupy one of the central places in statistical problems. The course will cover main results such as law of large numbers, central limit theorems and law of iterated logarithms with applications in nonparametric statistics and machine learning problems.
References
 korolyuk, V.S. and Borovskich, Y.V. (2013) Theory of UStatistics
 Lee, A.J. (1990) Ustatistics: Theory and Practice
Schedule
 2021/10/22 9.3011.30, Room A209 @ Povo 1
 2021/10/29 9.3011.30, Room A209 @ Povo 1
 2021/11/05 9.3011.30, Room A209 @ Povo 1
 2021/11/12 9.3011.30, Room Seminari 1 @ Povo 0
 2021/11/19 9.3011.30, Room A209 @ Povo 1
 2021/11/26 9.3011.30, Room A209 @ Povo 1
 2021/12/03 9.3011.30, Room A209 @ Povo 1
 2021/12/07 16.3018.30, Room A222 @ Povo 1
 2021/12/10 9.3011.30, Room A209 @ Povo 1
Details
 Venue: Polo Scientifico e Tecnologico F. Ferrari
 Language: English
 The participation is free. Please send an email to Prof. Claudio Agostinelli. This is important to book the approrpiate room.
 For further information, please contact Prof. Claudio Agostinelli