The null hypothesis that all of a function’s Fourier coefficients are 0 is tested in frequentist fashion using as test statistic a Laplace approximation to the posterior probability of the null hypothesis. Testing whether or not a regression function has a prescribed linear form is one application of such a test. In contrast to BIC, the Laplace approximation depends on prior probabilities, and ...

A robust approach for testing the parametric form of a regression function versus an omnibus alternative is introduced. This generalizes existing robust methods for testing subhypotheses in a regression model. The new test is motivated by developments in modern smoothingbased testing procedures and can be viewed as a robustification of a smoothing-based conditional moment test. It is asymptotic...

This study aims to assess landslide susceptibility in Pahne Kola watershed located in the south of Sari, based on bivariate logistic regression. For this purpose, the distribution map of the area’s landslides was firstly prepared in ArcGIS software. Eight effective factors on landslide event including elevation, slope, slope aspect, rainfall, land use, distance from the road, soil and geology w...

We consider functional measurement error models, i.e. models where covariates are measured with error and yet no distributional assumptions are made about the mismeasured variable. We propose and study a score-type local test and an orthogonal series-based, omnibus goodness-of-fit test in this context, where no likelihood function is available or calculated-i.e. all the tests are proposed in th...

A new noise filtering approach, based on flexible least squares (FLS) estimation of an unobserved component local level model, is introduced. The proposed FLS filter has been found to perform well in Monte Carlo analysis, independently of the persistence properties of the data and the size of the signal to noise ratio, ouperforming in general even the Wiener Kolmogorov filter, which, theoretica...