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针对捷联惯组历次测试数据小样本的特点,提出将随机加权法与最大熵法结合应用于捷联惯组历次测试数据的验前分布研究。在总体分布参数形式已知的情况下,根据已有的先验信息,采用随机加权最大熵法获得捷联惯组历次测试数据总体参数的验前分布。结合当前样本信息,利用贝叶斯方法给出捷联惯组历次测试数据的验后分布,揭示捷联惯组历次测试数据的统计特性,减少小样本情况下的统计分析误差。
Aiming at the characteristics of the small sample of the previous test data of the SIMU, this paper proposes to apply the random weight method and the maximum entropy method to the pre-test distribution of the previous test data of the SIMU. Under the condition that the overall distribution parameter form is known, pre-distribution of the overall parameters of all the previous test data of the SIMU is obtained by using the random weighted maximum entropy method based on the prior prior information. Combined with the current sample information, the Bayesian method is used to test the post-test distribution of the data of the SIMU, revealing the statistical characteristics of the previous test data of the SIMU, and reducing the statistical error in the case of small samples.