Statistical Averages: A Methodological Study.

methodological and statistical comments on caspian-iii study

Shadowability of statistical averages in chaotic systems.

We ask whether statistical averages in chaotic systems can be computed or measured reliably under the influence of noise. Situations are identified where the invariance of such averages breaks down as the noise amplitude increases through a critical level. An algebraic scaling law is obtained which relates the change of the averages to the noise variation. This breakdown of shadowability of sta...

A Note on Statistical Averages for Oscillating Tableaux

Oscillating tableaux are certain walks in Young’s lattice of partitions; they generalize standard Young tableaux. The shape of an oscillating tableau is the last partition it visits and the length of an oscillating tableau is the number of steps it takes. We define a new statistic for oscillating tableaux that we call weight: the weight of an oscillating tableau is the sum of the sizes of all t...

A Statistical Mechanics Approach to Approximate Analytical Bootstrap Averages

We apply the replica method of Statistical Physics combined with a variational method to the approximate analytical computation of bootstrap averages for estimating the generalization error. We demonstrate our approach on regression with Gaussian processes and compare our results with averages obtained by Monte-Carlo sampling.

Methodological and Statistical Comments on CASPIAN-III Study

which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Kelishadi and her colleagues have done a great job for determining students' high risk behaviors (1) and have published part of this study as percentiles of aminotrans-aminases in Iranian children (2) These data are only from Iran, a country in Middle East and not children...