Let fXn;n 1g be i.i.d. R d-valued random variables. We prove Partial Moderate Deviation Principles for self-normalized partial sums subject to minimal moment assumptions. Applications to the self-normalized law of the iterated logarithm are also discussed.

Using increasing sequences of real numbers, we generalize the idea formal moment differentiation first introduced by W. Balser and M. Yoshino. Slight departure from concept Gevrey enables us to include a wide variety operators in our study. Basing approach on tools such as Newton polygon divergent norms, obtain estimates for solutions certain families generalized linear partial differential equ...

The concept of moment differentiation is extended to the class summable functions, giving rise differential properties. main result leans on accurate upper estimates for integral representation derivatives functions under exponential-like growth at infinity, and appropriate deformation integration paths. theory applied obtain summability results certain family generalized linear partial equatio...

For analysis of the flow field of torque converter’s start operating performance, the paper established a mathematical model and simulated the numerical value of YJ series hydrodynamic torque converter. In view of the partial impact fluid and cavitation phenomenon in processes such as multiple flow area coupling algorithms the sliding mesh method cannot achieve the flow parameters real-time tra...

We consider Bayesian estimation of state space models when the measurement density is not available but estimating equations for the parameters of the measurement density are available from moment conditions. The most common applications are partial equilibrium models involving moment conditions that depend on dynamic latent variables (e.g., timevarying parameters, stochastic volatility) and dy...

analytical detection of cracking in connections of steel moment resisting frames using simple damage indices is important since these cracks are not visible unless the connections are uncovered. in this paper, applicability of three cumulative damage indices for detection of cracking in a cover plate welded moment connection is investigated. the damage indices considered in this study are based...

in this paper, a new method is investigated for model order reduction of high order systems based on moment matching technique. in this method, at first, full order model is expanded by legendre wavelet function which is included in orthogonal functions. a suitable fixed structure model is considered as reduced order model whose parameters are unknown. these unknown parameters are determined us...

Based on credibilistic value-at-risk (CVaR) of regularfuzzy variable, we introduce a new CVaR reduction method fortype-2 fuzzy variables. The reduced fuzzy variables arecharacterized by parametric possibility distributions. We establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. The convex properties of second order moments with ...