On the Lower Classes of Some Mixed Fractional Gaussian Processes with Two Logarithmic Factors
نویسندگان
چکیده
We introduce the fractional mixed fractional Brownian sheet and investigate the small ball behavior of its sup-norm statistic by establishing a general result on the small ball probability of the sum of two not necessarily independent joint Gaussian random vectors. Then, we state general conditions and characterize the sufficiency part of the lower classes of some statistics of the above process by an integral test. Finally, when we consider the sup-norm statistic, the necessity part is given by a second integral test.
منابع مشابه
New classes of Lyapunov type inequalities of fractional $Delta$-difference Sturm-Liouville problems with applications
In this paper, we consider a new study about fractional $Delta$-difference equations. We consider two special classes of Sturm-Liouville problems equipped with fractional $Delta$-difference operators. In couple of steps, the Lyapunov type inequalities for both classes will be obtained. As application, some qualitative behaviour of mentioned fractional problems such as stability, ...
متن کاملComplete convergence of moving-average processes under negative dependence sub-Gaussian assumptions
The complete convergence is investigated for moving-average processes of doubly infinite sequence of negative dependence sub-gaussian random variables with zero means, finite variances and absolutely summable coefficients. As a corollary, the rate of complete convergence is obtained under some suitable conditions on the coefficients.
متن کاملInteger-order Versus Fractional-order Adaptive Fuzzy Control of Electrically Driven Robots with Elastic Joints
Real-time robust adaptive fuzzy fractional-order control of electrically driven flexible-joint robots has been addressed in this paper. Two important practical situations have been considered: the fact that robot actuators have limited voltage, and the fact that current signals are contaminated with noise. Through of a novel voltage-based fractional order control for an integer-order dynamical ...
متن کاملSolutions for some non-linear fractional differential equations with boundary value problems
In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators. Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems.
متن کاملFitting of Species Frequency Distribution Models in Woody Societies in Rangelands of Gouradarah, Gechigiran Ahar
One of the important goals of natural resource management is to conserve plant diversity in the ecosystem so that sites are more productive and more ecologically stable at the various situations. Different diversity indices have been presented to study the species status of natural ecosystems. One of these indicators is the use of empirical distribution models that each of these models ind...
متن کامل