We propose a formal method to test stationarity for spatial point processes. The proposed test statistic is based on the integrated squared deviations of observed counts of events from their means estimated under stationarity. We show that the resulting test statistic converges in distribution to a functional of a two-dimensional Brownian motion. To conduct the test, we compare the calculated s...

Fuzzy logic and fuzzy set theory provide an important framework for representing and managing imprecision and uncertainty in medical expert systems, but the need remains to optimize such systems to enhance performance. This paper presents a general technique for optimizing fuzzy models in fuzzy expert systems (FES’s) by simulated annealing (SA) and N -dimensional hill climbing simplex method. T...

there are many situations for statistical process in which we have both random and vagueinformation. when uncertainty is due to fuzziness of information, fuzzy statistical control charts play animportant role in the monitoring process, because they simultaneously deal with both kinds of uncertainty.dealing with fuzzy characteristics using classical methods may cause the loss of information and ...

We introduce a formal testing procedure to assess the goodness-of-fit of a fitted inhomogeneous spatial Poisson process model. Our method is based on a discrepancy measure function Dc(t; θ̂) that is constructed by using residuals obtained from the fitted model. We derive the asymptotic distributional properties of Dc(t; θ̂) and then develop a test statistic based on these properties. Our test sta...

In this paper we use cytonuclear disequilibria to test the neutrality of mtDNA markers. The data considered here involve sample frequencies of cytonuclear genotypes subject to both statistical sampling variation as well as genetic sampling variation. First, we obtain the dynamics of the sample cytonuclear disequilibria assuming random drift alone as the source of genetic sampling variation. Nex...

In cricket, it has long been accepted that synergies in batting partnerships are an important aspect in batting performance. This paper investigates the importance of partnerships in Test and one-day cricket by comparing the performance of opening batsmen with their “synergistic” partners to the performance of these batsmen with alternative partners. In Test cricket, a bivariate performance sta...

Iowa State University, The University of Western Australia and Iowa State University We propose a test for model specification of a parametric diffusion process based on a kernel estimation of the transitional density of the process. The empirical likelihood is used to formulate a statistic, for each kernel smoothing bandwidth, which is effectively a studentized L2-distance between the kernel t...

In this paper, we consider the problem of testing the equality of multivariate normal populations when the data set has missing observations with a two-step monotone pattern. The likelihood ratio test (LRT) statistic for the simultaneous testing of the mean vectors and the covariance matrices is given under the condition of two-step monotone missing data. An approximate modified likelihood rati...

In this paper a fuzzy and cointegration analysis are used to forecast tourist demand in Greece. In the first part, Johansen’s maximum likelihood techniques are applied to estimate the long-run relationships for the principal five tourist generating countries in Greece. In the second part, the estimated error correction terms are introduced to the first difference models to estimate the five sho...

A panel unit root test is derived based on a Lagrangian Multiplier for panels with a cross-section dependence modeled using factor models. The test statistic is shown to be different from square of test statistic of Pesaran (2007) even for a case of no constant and no trend, hence the test statistic is not simply a different calculation of the suggestion made in Pesaran (2007). Implementation o...