To treat with social phenomena, statistical and mathematical physics provides a powerful and rigorous method [1], and several papers have studied the models of social phenomena based on stochastic processes. Many researchers in econometrics or biometrics have proposed that the discrete choice including binary analysis may be formulated as the AR (autoregressive), logit, and probit models [2]. I...

This paper presents a method for solving the Best Next View problem. This problem arises while gathering range data for the purpose of building 3D models of objects. The novelty of our solution is the introduction of a quality criterion in addition to the visibility criterion used by previous researchers. This quality criterion aims at obtaining views that improve the overall range data quality...

The conventional criteria for predictive model selection do not indicate the absolute goodness of models. For example, the quantity of Akaike Information Criterion (AIC) has meanings only when we compare AIC of different models for a given amount of data. Thus, the existing criteria do not tell us whether the quantity and quality of data is satisfactory, and hence we cannot judge whether we sho...

A linked stress release model is proposed for the analysis of spatial interaction of earthquake occurrences through stress transfer within a large area of the Earth’s crust. As an example, the model is used for statistical analysis for the Japanese historical earthquakes in central Japan and offshore in the Nankai and Sagami troughs with magnitude M ≥ 6.5 during the period from 1400 to 1997. Th...

MOTIVATION False discovery rate (FDR) is defined as the expected percentage of false positives among all the claimed positives. In practice, with the true FDR unknown, an estimated FDR can serve as a criterion to evaluate the performance of various statistical methods under the condition that the estimated FDR approximates the true FDR well, or at least, it does not improperly favor or disfavor...

Approximate models are developed, based on second, fourth, and sixth order polynomials, that describe the concentration profile of an electrochemically active species in a spherical electrode particle. Analytical expressions are obtained that describe the way the concentration profiles, surface concentrations, and electrode utilization change during the galvanostatic discharge of an electrode p...

This paper investigates the cyclical behaviour of the wine production in Portugal’s Douro region during the period of 1932 to 2008. In general, wine production is characterised by large fluctuations. These fluctuations may cover the existence of deterministic cycles. Hence, in this paper, we decompose the wine production’s variance in order to find the dominating production cycles In the next s...

A nonlinear Hammerstein model is proposed for coding speech signals. Using Tsay’s nonlinearity test, we first show that the great majority of speech frames contain nonlinearities (over 80% in our test data) when using 20-millisecond speech frames. Frame length correlates with the level of nonlinearity: the longer the frames the higher the percentage of nonlinear frames. Motivated by this result...

This paper describes the LOESS procedure which is a new procedure in SAS/STAT R software for performing local regression. Features of this procedure are outlined and a brief description of the fitting method is given. Examples are given illustrating the use of this procedure in obtaining fitted surfaces as well as prediction confidence limits for both univariate and multivariate regressor data....

The purpose of this paper is to demonstrate how many results concerning approximation, integration, and density on the sphere can be generalised to a much wider range of manifolds M , namely the compact homogeneous mani-folds. The essential ingredient is that invariant kernels (the generalisation of zonal or radial kernels) have a spectral decomposition in terms of projection kernels onto invar...