中文摘要：

为研究有限容量样本下电场分布情况,基于边缘分布理论方法,得到混沌腔体内电场边缘分布模型。该模型在混沌条件下一致性收敛速度快,当样本容量N〉10时,最大相对误差收敛于0.004 5。与此同时,利用混响室实测数据及理想波混沌场,对边缘分布模型的有效性进行试验验证,结果表明：该边缘分布模型与样本分布基本重合;无论对单自由度还是3自由度的波混沌场都可以很好地拟合场的分布,优于传统的Weilbull、Rayleigh分布。该模型对有限样本下混沌电场的统计分布规律的描述,具有重要的理论价值和指导意义。

英文摘要：

In order to investigate the statistical distribution of chaotic electric field under the condition of finite number of samples, we obtained a marginal distribution model of electric field in chaotic cavity using the marginal distribution theory. With the assumption of chaos, the marginal model has high fitting accuracy and high convergence, and when there are more than 10 samples, the model＇s relative error of probability is less than 0.004 5. We also verified the marginal model on the basis of data from the practical reverberation fields and some ideal chaotic fields. The results show that the marginal model fits well with the samples and the chaotic fields of both single-degree and three-degree freedoms, and it has better performance than the Rayleigh distribution and the Weibull distribution. The proposed marginal model provides a theoretical basis and guidance for statistically describing the chaotic electric field distribution with limited number of samples.