Characterizing the stratosphere as a turbulent system, temporal fluctuations often show different correlations for different time scales as well as intermittent behaviour that cannot be captured by a single scaling exponent. In this study, the different scaling laws in the long-term stratospheric variability are studied using multifractal de-trended fluctuation analysis (MF-DFA). The analysis i...

A sentence is the natural unit of language. Patterns embedded in series of sentences can be used to model the formation and evolution of languages, and to solve practical problems such as evaluating linguistic ability. In this paper, we apply de-trended fluctuation analysis to detect long-range correlations embedded in sentence series from A Story of the Stone, one of the greatest masterpieces ...

spatial-temporal modeling of air pollutants, ground-level ozone concentrations in particular, has attracted recent attention because by using spatial-temporal modeling, can analyze, interpolate or predict ozone levels at any location. in this paper we consider daily averages of troposphere ozone over tehran city. for eliminating the trend of data, a dynamic linear model is used, then some featu...

We propose a derivation of statistical laws from time series data analysis on the analogy of the thermodynamics. Recently, Sekimoto and Sasa reconstructed thermodynamics of systems, which are governed by the Langevin equations. We construct \thermodynamics" by applying their approach to the Auto Regressive type models, in which the random uctuation is no more thermal one. Since the detailed bal...

We give a proof of transient uctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient uctuation relation yields a steady state uctuation relation for driven nonequilibrium systems whose transients relax, producing a unique nonequilibrium steady state....

CT scan images of human brain of a particular patient in different cross sections are taken, on which wavelet transform and multi-fractal analysis are applied. The vertical and horizontal unfolding of images are done before analyzing these images. A systematic investigation of de-noised CT scan images of human brain in different cross-sections are carried out through wavelet normalized energy a...

We used Monte Carlo simulations to evaluate how different methods of estimating fishery catchability within statistical catch-at-age analysis (SCA) performed when fishery catchability changed over time. Data-generating models included cases where catchability changed abruptly or gradually over time and where catchability was explicitly a function of population abundance, and we considered corre...

The diiusive characteristics of two upwind schemes, multi-dimensional uctuation splitting and dimensionally-split nite volume, are compared for scalar advection-diffusion problems. Algorithms for the two schemes are developed for node-based data representation on median-dual meshes associated with unstructured triangulations in two spatial dimensions. Four model equations are considered: linear...

A high resolution a.c. calorimetric study of a phenyl pyrimidine derivative with one alkyl and one per ̄ uorinated end group shows that the excess heat capacity associated with the smectic A± smectic C transition exhibits critical ̄ uctuation behaviour that is consistent with the three-dimensional XY universality class. This is in contrast to the usual mean-® eld SmA± SmC behaviour and the near t...

An Optimal lter for extracting quasi-periodic signals such as a voiced speech or instrumental sound from the noise-corrupted observation are proposed. They are derived through the Kalman-Bucy lter analysis in which the dynamics of amplitude and pitch uctuations are described through Itô stochastic di erential equations. The Laplace analysis to the lter equation leads to three types of comb lter...