résumé – Modèle de puissance vs. logarithmique de la loi de Fitts : une analyse mathématique. Après bientôt soixante années d’études, il reste toujours à déterminer si la loi de Fitts, un modèle célèbre du mouvement de pointage humain, est une loi logarithmique ou de puissance. Dans deux articles abondamment cités, Meyer & al. ont avancé l’idée que le modèle de puissance qu’ils ont déduit de le...

It is sometimes claimed that different types of size data in biology follow a power law. Here, a formal statistical test of the power law for discrete size data is described. The test is based on embedding the power law in the nonparametric family of distributions for which frequency is nonincreasing with size. A parametric bootstrap is used to assess significance. The test is applied to four d...

After one decade form gravitational microlensing experiments, hundreds microlensing events in different galactic directions and 13 to 17 event (depends of quality) toward Magellanic clouds have been found. One of the central relation in microlensing experiments is between optical depth as a model dependent parameter and the rate of observed events. Here, we redo the calculation of optical depth...

Using a measure of how differentially expressed a gene is in two biochemically/phenotypically different conditions, we can rank all genes in a microarray dataset. We have shown that the falling-off of this measure (normalized maximum likelihood in a classification model such as logistic regression) as a function of the rank is typically a power-law function. This power-law function in other sim...

We analyze the distribution of income and income tax of individuals in Japan for the fiscal year 1998. From the rank-size plots we find that the accumulated probability distribution of both data obey a power law with a Pareto exponent very close to −2. We also present an analysis of the distribution of the debts owed by bankrupt companies from 1997 to March, 2000, which is consistent with a pow...

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

1/fα noises are ubiquitous and affect many measurements. These noises are both a nuisance and a peculiarity of several physical systems; in dielectrics, glasses and networked liquids it is very common to study this noise to gather useful information. Sometimes it happens that the noise has a power-law shape only in a certain frequency range, and contains other important features, that are howev...

We combine new HST/ACS observations and existing data to investigate the wavelength dependence of near-IR (NIR) extinction. Previous studies suggest a power-law form for NIR extinction, with a “universal” value of the exponent, although some recent observations indicate that significant sight line-to-sight line variability may exist. We show that a power-law model for the NIR extinction provide...

In Classical Hypothesis testing volumes of data is to be collected and then the conclusions are drawn, which may need more time. But, Sequential Analysis of Statistical science could be adopted in order to decide upon the reliability / unreliability of the developed software very quickly. The procedure adopted for this is, Sequential Probability Ratio Test (SPRT). It is designed for continuous ...

We propose a random graph model which is a special case of sparse random graphs with given degree sequences which satisfy a power law. This model involves only a small number of parameters, called logsize and log-log growth rate. These parameters capture some universal characteristics of massive graphs. Furthermore, from these parameters, various properties of the graph can be derived. For exam...