Copulas are used to specify dependence between two or more random variables. The last
few years have seen a surge of developments of parametric models for copulas. Here, we …

In this work, we demonstrate that the Frank copula is the minimum information copula under
fixed Kendall's τ (MICK), both theoretically and numerically. First, we explain that both MICK …

Measuring pairwise and higher-order spike correlations is crucial for studying their potential
impact on neuronal information processing. In order to avoid misinterpretation of results, the …

Statistical linear regression played important roles in statistical relation modeling and
inferential statistics on probability distribution theoretical foundation. However, the …

Evaluating the importance of higher-order correlations of neural spike counts has been
notoriously hard. A large number of samples are typically required in order to estimate …

This thesis consists in three essays that study the linkages between real and financial factors
from different perspectives. Chapter 1, co-authored with Ester Faia and Valeria Patella …

How does the activity of populations of neurons encode the signals they receive? Since
neurons in vivo are inherently variable, each fixed input to a population will elicit not a …

The question of how populations of neurons process information is not fully understood yet.
With the advent of new experimental techniques, however, it becomes possible to measure …