Description Non-parametric bootstrap and permutation resampling-based multiple testing procedures (including empirical Bayes methods) for controlling the family-wise error rate (FWER), generalized family-wise error rate (gFWER), tail probability of the proportion of false positives (TPPFP), and false discovery rate (FDR). Several choices of bootstrap-based null distribution are implemented (cen...

This paper introduces nonparametric U-statistics for testing the curvature (e.g., linearity, concavity, or convexity) of an unknown regression function. The U-statistics are based on pairwise slopes in the data. No choice of smoothing parameters is required for the global version of the statistics or their (asymptotic) standard errors, making them simple to compute. The proposed tests are analo...

Deregulation of electricity market in the middle 90’s changed power distribution in Finland to more business oriented direction although the network business remained as regulated natural monopoly. According to the Electricity Market Act, the distribution companies have general obligations, e.g., to develop their electricity distribution networks and to have moderate distribution pricing. When ...

We consider parametric tests for multidimensional ergodic diffusions based on high frequency data. propose two-step testing method diffusion parameters and drift parameters. To construct test statistics of the tests, we utilize adaptive estimator provide three types statistics: likelihood ratio type test, Wald Rao’s score test. It is proved that these converge in distribution to chi-squared und...

Statistics of orbital parameters of binary stars as well as statistics of their physical characteristics bear traces of star formation history. However, statistical investigations of binaries are complicated by incomplete or missing observational data and by a number of observational selection effects. Visual binaries are the most common type of observed binary stars, with the number of pairs e...

Nuisance parameters are parameters that are not of direct interest to the inferential question in hand. In a frequentist or likelihood paradigm, a common tool for eliminating nuisance parameters is to condition on their sufficient statistics. The same technique is useful (though rarely used) in a Bayesian settings, as it eliminates the need to put priors on nuisance parameters. For log-linear m...

Focusing on the well motivated aperture mass statistics Map, we study the possibility of constraining cosmological parameters using future space based SNAP class weak lensing missions. Using completely analytical results we construct the covariance matrix for estimators based on two-point and three-point statistics. Our approach incorporates an accurate modelling of higher-order statistics to d...