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In this paper, several new results on the boundedness of parammetric Marcinkiewicz integrals on the weighted Hardy spaces and the weak weighted Hardy spaces are established.
A hybridization of the three-term conjugate gradient method proposed by Zhang et al. and the nonlinear conjugate gradient method proposed by Polak and Ribière, and Polyak is suggested. Based on an eigenvalue analysis, it is shown that search directions of the proposed method satisfy the...
By using the blossom approach, we construct four new cubic rational Bernsteinlike basis functions with two shape parameters, which form a normalized B-basis and include the cubic Bernstein basis and the cubic Said-Ball basis as special cases. Based on the new basis, we propose a class of C
In this paper, the concepts of falling fuzzy (implicative, associative) filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy (implicative, associative) filters and falling fuzzy (implicative,...
This paper studies the insurer’s solvency ratio model in a class of mixed fractional Brownian motion (MFBM) market, where the prices of assets follow a Wick-Itô stochastic differential equation driven by the MFBM, by the method of the stochastic calculus of the MFBM and the pricing formula of...
In the dual risk model, we consider the optimal dividend and capital injection problem, which involves a random time horizon and a ruin penalty. Both fixed and proportional costs from the transactions of capital injection are considered. The objective is to maximize the total value of the...
In this paper, the complete convergence for the weighted sums of independent and identically distributed random variables in Stout  is improved and extended under NOD setup. The more optimal moment condition is given. The main results also hold for END sequence.
Consider a continuous-time renewal risk model, in which every main claim induces a delayed by-claim. Assume that the main claim sizes and the inter-arrival times form a sequence of identically distributed random pairs, with each pair obeying a dependence structure, and so do the by-claim sizes...
Consider the design problem for estimation and extrapolation in approximately linear regression models with possible misspecification. The design space is a discrete set consisting of finitely many points, and the model bias comes from a reproducing kernel Hilbert space. Two different design...
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