关于aoristic模型的状态估计

State estimation for aoristic models

Scandinavian Journal of Statistics · 2022
被引 4
ABS 3

中文导读

研究了aoristic数据(事件发生时间未知但落在已知区间内)的贝叶斯状态估计方法,推导了后验分布并估计参数,通过例子说明先验分布的影响,并应用于估计区间删失犯罪事件的发生时间。

Abstract

Abstract Aoristic data can be described by a marked point process in time in which the points cannot be observed directly but are known to lie in observable intervals, the marks. We consider Bayesian state estimation for the latent points when the marks are modeled in terms of an alternating renewal process in equilibrium and the prior is a Markov point process. We derive the posterior distribution, estimate its parameters and present some examples that illustrate the influence of the prior distribution. The model is then used to estimate times of occurrence of interval censored crimes.

统计学计量经济学贝叶斯统计点过程犯罪学