CHEN Xia1, CUI Heng-jian1, YANG Hua2. The Application of Bootstrap Method in Linear BRDF Models Inversion[J]. Journal of Remote Sensing, 2007,(6):845-851.
CHEN Xia1, CUI Heng-jian1, YANG Hua2. The Application of Bootstrap Method in Linear BRDF Models Inversion[J]. Journal of Remote Sensing, 2007,(6):845-851. DOI: 10.11834/jrs.200706114.
It is usually assumed that the prior distributions of parameters and error are Gaussian distribution in remote sensing inversion.This assumption seems to be impractical in many cases.Prior distribution of parameters and error are very important in remote sensing inversion since many remote sensing inversion strategies take advantage of prior knowledge.We present a bootstrap method for estimating the prior distributions of parameters and error in this paper.This method relaxes the distribution assumption of parameters and error
and obtains those approximately exact distributions by means of prior data.Moreover
we classify prior data since they are collected from different classes
and implement statistical test for classified prior data.Results show that proper classification of prior data is reasonable.Finally
we take RossThick-LiTransit linear kernel-driven model as an example
and make a comparison of our method with usual Tikhonov regularizing inversion and Bayes inversion under normal hypothesis with NOAA-AVHRR observations.The result shows that classifying prior data and using the prior distribution obtained by bootstrap method can significantly decrease uncertainty of parameters.
关键词
遥感反演Bootstrap方法先验分布后验分布假设检验
Keywords
remote sensing inversionbootstrap methodprior distributionposterior distributionhypothesis test