先验概率
马尔科夫蒙特卡洛
后验概率
贝叶斯概率
计算机科学
航程(航空)
似然函数
贝叶斯推理
可逆跳跃马尔可夫链蒙特卡罗
蒙特卡罗方法
热年代学
偏移量(计算机科学)
算法
统计
数学
估计理论
人工智能
地质学
工程类
古生物学
程序设计语言
锆石
航空航天工程
摘要
A new approach for inverse thermal history modeling is presented. The method uses Bayesian transdimensional Markov Chain Monte Carlo and allows us to specify a wide range of possible thermal history models to be considered as general prior information on time, temperature (and temperature offset for multiple samples in a vertical profile). We can also incorporate more focused geological constraints in terms of more specific priors. The Bayesian approach naturally prefers simpler thermal history models (which provide an adequate fit to the observations), and so reduces the problems associated with over interpretation of inferred thermal histories. The output of the method is a collection or ensemble of thermal histories, which quantifies the range of accepted models in terms a (posterior) probability distribution. Individual models, such as the best data fitting (maximum likelihood) model or the expected model (effectively the weighted mean from the posterior distribution) can be examined. Different data types (e.g., fission track, U‐Th/He, 40 Ar/ 39 Ar) can be combined, requiring just a data‐specific predictive forward model and data fit (likelihood) function. To demonstrate the main features and implementation of the approach, examples are presented using both synthetic and real data.
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