The Study on Estimation of Unknown Parameters for Uncertainty Distribution

The emphasis in this paper is mainly on the point estimation of unknown parameters for uncertainty distribution. Firstly, principle of least squares and the least squares estimation are introduced. Secondly, by the k-th empirical moments of the expert's experimental data, we establish a method of moments to estimate the unknown parameters for uncertainty distribution. Finally, a moment estimation method of the ladder type empirical uncertainty distribution is proposed. Some illustrative examples are also provided in support of the procedure suggested in each section.