This paper revisits the issue of crop yield distributions using improved model specifications, estimation and testing procedures that address the methodological concerns raised in recent literature that could have invalidated previous conclusions of yield non-normality. It shows beyond...

The framework of multifractal analysis (MFA) is distilled to the most sophisticated one. Within this transparent framework, it is shown that the harmonious representation of MFA utilizing two distinct Tsallis distribution functions, one for the tail part of probability density function (PDF) and...

The long time coarse grain of the observables often shows the large deviation statistics. A reason for this is that the long time coarse grained observables lose their correlations or memories. The establishment of the large deviation statistics leads to the statistical mechanics. In this paper,...

The universality in turbulence are studied in this paper. In the previous paper, we succeeded in studying the system described by the Kuramoto–Sivashinsky equation statistical mechanically. In this paper, it is shown that the turbulence described by the two-dimensional coupled map lattices has...

The static aspects of the statistics for the phase turbulence (PT) are studied in this paper. Their dynamical aspects for the PT were made clear in the previous paper. The dynamics have predicted that the statistics of the PT deviate from the large deviation statistics. In this paper, the...

The statistics of Kolmogorov–Sinai (KS) entropy for a coupled map lattice model are analyzed from the viewpoint of the thermodynamic formalism. It is shown that the fluctuation of KS entropy for a coupled map lattice model satisfies the large deviation statistics. Also, the probability density...