This paper develops a new class of functional depths. A generic member this is coined $J$th order $k$th moment integrated depth. It based on the distribution cross-sectional halfspace depth function in marginal evaluations (in time) random process. Asymptotic properties proposed depths are provided: we show that they uniformly consistent and satisfy an inequality related to law iterated logarit...

We investigate the accuracy and resolution of the variogram analysis method (Maus, 1999) on syn thetic and real data. Syn thetic magnetic ight line data are generated forbasemen t models of idealized geological setups. Comparing variogram depths of the data with true model depths shows that variogram depths are accurate and un biased as long as the data analysis window is larger than 10 times t...

www.americanscientist.org W constitutes a dangerous equation? There are two obvious interpretations: Some equations are dangerous if you know them, and others are dangerous if you do not. The first category may pose danger because the secrets within its bounds open doors behind which lies terrible peril. The obvious winner in this is Einstein’s iconic equation e = mc2, for it provides a measure...