We introduce a framework to infer lead-lag networks between the states of elements of com- plex systems, determined at different timescales. As such networks encode the causal structure of a system, infering lead-lag networks for many pairs of timescales provides a global picture of the mutual...

When an event is anticipated, the firm's stock return around the announcement of the event may have an inconsistent sign: a positive sign around negative news, or vice versa. We attempt to quantify the frequency of this problem, first with a brief mathematical model and simulation, then with...

This paper offers a general and comprehensive definition of the day-of-the-week effect. Using symbolic dynamics, we develop a unique test based on ordinal patterns in order to detect it. This test uncovers the fact that the so-called “day-of-the-week” effect is partly an artifact of the...

We propose a new weighting function, generalized Wang transform, derived from normality invariance. This function takes various shapes, including concave, convex, S-shaped and inverse S-shaped functions, depending on the range of parameters and distinguishes the curvature and elevation of...

"Capital Allocation" endows us to study the probabilistic equilbrium reached from the expected movments of the Stock Market and Treasury Bond market. This equilbirium is employed to calculate the expected time scope in which the equilbrim can be expected. This gives the zenith of the oscillation...