关键词: 岩土参数, 概率分布, 大样本, 正态信息扩散原理, 窗宽

Abstract: It is much more significant for assessment of probability distribution of large samples of geotechnical parameters to study the stability and reliability of geotechnical engineering in some important geotechnical engineerings. Thus normal information spread estimation method (NISEM) is proposed to generate probability density functions of geotechnical parameters with large samples based on the optimal bandwidth which is received by the minimum mean integrated square error. The method proposed in this paper based on the information spread principle, instead of assuming the fitting test of classical probability distribution curves, makes full use of the data sample provided from the view of the test sample and the information theory. It presents the mathematical and physical performances more fully and tight. The influence of bandwidth on the results of information diffusion estimation has been studied by the inference of probability density function of compression index (Cc). The results show the reasonability of NISEM, which is used to infer probability density function of geotechnical parameters with large samples. At last, probability density functions of rock and soil shear strength parameters have been inferred by using NISEM. By K-S test, the correctness and practicability of NISEM are verified.

Key words: geotechnical parameters, probability distribution, large sample, principle of normal information spread, bandwidth