The article discusses the asymptotic behavior of a particle performing so-called “random flight.” In recent work by Davydov–Konakov (2017), when moments Tk changing direction form an inhomogeneous Poisson process, it was shown that, depending on nature inhomogeneity, three variants limiting distribution arise naturally for zoomed trajectory. purpose this is to show that these options are preser...

the empirical bayes estimators of treatment effects in a factorial experiment were derived and their asymptotic properties were explored. it was shown that they were asymptotically optimal and the estimator of the scale parameter had a limiting gamma distribution while the estimators of the factor effects had a limiting multivariate normal distribution. a bootstrap analysis was performed to ill...