【摘要】 基于独立同分布的随机样本提出了一类二元多小波密度估计的方法。首先,给出了线性多小波估计器;然后,在Besov球(B_p,m^s（M）)上给出了线性估计在积分均方误差（MISE）意义下的收敛上界,并给予证明;最后,通过仿真和实例数据进行实验验证,说明方法和估计的有效性。更多还原

【Abstract】 We present a method for estimating a class of two-dimensional multiwavelets for a density function based on i.i.d. random samples. Firstly, we propose a linear multiwavelet estimator. Then, we propose and prove the upper bound of convergence in the sense of the integrated mean square error（MISE） for the proposed linear estimator in the Besov space, B_p,m^s（M）. Finally, we provide simulated and real experimental date to illustrate the effectiveness of the proposed method and estimator.更多还原