In the article method of Type A uncertainty evaluation of the location and scale parameters of the population based on solution of the forward and inverse problems is proposed. The essence of forward problem is determination of the distributions of estimates m of location and s of scale parameters. The inverse problem is solved when values of the estimates are determined, and its essence is determination of the a posteriori distributions of location and scale parameters and also their standard and expanded uncertainties. A general method of the determining the distributions in inverse problem bases on the transformation of distributions obtained in the forward problem by the Jacobian which is the ratio of estimate (s) to the scale parameter (σ). Independently on population distribution the standard uncertainties of the location and scale parameters are depend on value of 1/sqrt(n − 3), where n is a number of observations.

在本文中，提出了基于正向和反向问题求解的人口位置和尺度参数的A型不确定性评估方法。前向问题的实质是确定位置估计值m和尺度参数s的分布。当确定估计值时，反问题就解决了，其实质是确定位置和比例参数的后验分布，以及它们的标准不确定性和扩展不确定性。确定反问题分布的一种通用方法是基于雅可比矩阵在正向问题中获得的分布的变换，雅各比矩阵是估计值（s）与比例参数（σ）的比率）。独立于人口分布，位置和比例参数的标准不确定性取决于1 / sqrt（n -3）的值，其中n是许多观测值。