We provide a set of probabilistic laws for estimating the quadratic variation of continuous semimartingales with realized range-based variance - a statistic that replaces every squared return of realized variance with a normalized squared range. If the entire sample path of the process is...

The wavelet variance is a scale-based decomposition of the process variance that is particularly well suited for analyzing intrinsically stationary processes. This decomposition has proven to be useful for studying various geophysical time series, including some related to sub-tidal sea level...

Interaction effects capture the impact of one explanatory variable x1 on the marginal effect of another explanatory variable x2. To explore interaction effects, so-called interaction terms x1x2 are typically included in estimation specifications. While in linear models the effect of a marginal...

This paper investigates the limit properties of mean-variance (mv) and arbitrage pricing (ap) trading strategies using a general dynamic factor model, as the number of assets diverge to infinity. It extends the results obtained in the literature for the exact pricing case to two other cases of...

A remarkable feature of the crude oil market is a dramatic rise in oil price volatility over time which has been accompanied by a substantial fall in oil production volatility. We investigate the sources of this opposite evolution of both oil market variables. Our main finding is that the...

Entropy, or the gradual decline through age in the survivorship function, reflects the considerable amount of variance in length of life found in any human population. Part is due to the well-known variation in life expectancy between groups: large differences according to race, sex,...

A simple, empirical-based approach to decompose Realized Variance (RV) is proposed, with supportive theoretical argument and empirical evidence. Under the proposed framework, RV is interpreted as a product of the intensity and variance of relevant price changes. Holding the variance aspect...

The success of modern portfolio theory critically depends on the use of reliable estimates of the covariance matrix of asset returns. Current statistical theory provides a variety of different models ranging from simple sample estimates to complex multivariate GARCH models to be used in...

A random variable dominates another random variable with respect to the covariance order if the covariance of any two monotone increasing functions of this variable is smaller. We characterize completely the covariance order, give strong sufficient conditions for it, present a number of examples...