In this paper, we study a class of stochastic processes $ \{X_t\}_{t\in \mathbb {N}} $, where X_t = (\varphi \circ T_s^t)(X_0) is obtained from the iterations transformation T_s invariant for an ergodic probability \mu_s on [0,1] and certain constant by partial function \varphi:[0,1] \to {R} $. We consider here family transformations T_s:[0,1]\to indexed parameter s>0 known as Manneville–Pom...

LLR measures the distance between observatories on Earth and retro-reflectors Moon since 1969. In this paper, we estimate Rotation Parameters (ERP; terrestrial pole offsets, $x_p$ $y_p$, rotation phase, $\Delta$UT) using data. We values of $\Delta$UT, offsets separately. For $y_p$ together Overall, uncertainties ERP from new data (after 2000.0) have significantly improved, staying less than 20 ...

In the context of ridge regression, the estimation of ridge (shrinkage) parameter plays an important role in analyzing data. Many efforts have been put to develop skills and methods of computing shrinkage estimators for different full-parametric ridge regression approaches, using eigenvalues. However, the estimation of shrinkage parameter is neglected for semiparametric regression models. The m...