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Formation of direct observations and approximation of probability density for rounding experimental data

机译:直接观察的形成和对实验数据取整的概率密度的近似值

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摘要

A method of sampling direct observations for the logarithm of probability density from a sample of rounded data of a random variable is designed. The new sample is used for approximating the logarithm of the unknown density function. The distribution of random errors in the newly formed observations is shown to be independent of the distribution of the initial variable, and their covariance matrix is completely predefined. Hence, it is possible to formulate a criterion for sampling the function that approximates the logarithm of the unknown density, and the corresponding transformation yields a density approximation.
机译:设计了一种从随机变量的四舍五入数据样本中直接观察概率密度对数的方法。新样本用于近似未知密度函数的对数。新形成的观测值中的随机误差分布显示为与初始变量的分布无关,并且它们的协方差矩阵是完全预定义的。因此,可以制定用于对近似未知密度的对数的函数进行采样的标准,并且相应的变换得出密度近似。

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