Volume 1,Issue 9
基于贝叶斯泊松INGARCH 模型分析温度对犯罪的因果检验
本研究在贝叶斯框架下构建泊松INGARCH 计数时间序列模型,以温度为外生变量,解析其与性侵犯、盗窃及毒品犯罪的动态因果机制。研究选用贝叶斯估计方法,因其在参数不确定性和时变特性分析中的优越性,可有效规避传统估计方法的局限性。通过分析了解到温度对性侵犯无显著影响,而对盗窃与毒品犯罪均呈显著负向冲击。本文还表明贝叶斯推断不仅能精确地描述受外生冲击的整数值时间序列动态特征,还可有效解决过度离散问题,通过参数估计的尖锐化后验分布提升模型泛化能力。本研究进一步加深了对温度与犯罪之间关系的认识,显示了贝叶斯方法在增强预测犯罪分析方面的能力,为犯罪预测系统的优化提供理论支撑。
[1]Al-Osh, M. A. and Alzaid, A. A. First-order integer-valued autoregressive (INAR(1)) process[J]. Journal of Time Series Analysis, 8(3):261–275, 1987.
[2]Davis R. A, Wu R. A negative binomial model for time series of counts[J]. Biometrika, 2009, 96(3): 735-749.
[3]Heinen A. Modelling time series count data: an autoregressive conditional Poisson model[J]. Available at SSRN 1117187, 2003.
[4]Alzaid A. A. and Al-Osh, M. A. An integer-valued pth-order autoregressive structure (INAR (p)) process[J]. Journal of Applied Probability, 1990, 27(2): 314-324.
[5]Zeger S. L. and Qaqish B. Markov regression models for time series: a quasi-likelihood approach[J]. Biometrics, 1988: 1019-1031.
[6]Ferland R., Latour A., Oraichi D. Integer‐valued GARCH process[J]. Journal of time series analysis, 2006, 27(6): 923-942.
[7]Fokianos K., Rahbek A., Tjøstheim D. Poisson autoregression[J]. Journal of the American Statistical Association, 2009, 104(488): 1430-1439.
[8]Christou V. and Fokianos K. Quasi‐likelihood inference for negative binomial time series models[J]. Journal of Time Series Analysis, 2014, 35(1): 55-78.
[9]Shen B., Hu X., Wu H. Impacts of climate variations on crime rates in Beijing, China[J]. Science of the total environment, 2020, 725: 138190.
[10]Cruz E., D ’Alessio S. J., Stolzenberg L. The effect of maximum daily temperature on outdoor violence[J]. Crime & Delinquency, 2023, 69(6-7): 1161-1182.
[11]袁玉芳.贝叶斯估计方法在异方差检验中的应用[D].江苏师范大学,2019.DOI:10.27814/d.cnki.gxzsu.2019.000308.
[12]雷庆祝,秦永松,罗敏.强混合样本下刻度指数分布族参数的经验贝叶斯估计和检验[J].广西师范大学学报(自然科学版),2017,35(03):63-74.DOI:10.16088/j.issn.1001-6600.2017.03.008.
[13]胡战虎.基于贝叶斯估计的多分辨图像滤波方法[J].电子学报,2002,(01):66-68.DOI:CNKI:SUN:DZXU.0.2002-01-016.
[14]王江荣,袁维红,赵睿,等.基于贝叶斯估计的路基沉降时间序列分析模型[J].矿山测量,2016,44(04):73-77.DOI:CNKI:SUN:KSCL.0.2016-04-020.
[15]Chu Y. New Bayesian regression models for massive data and extreme longitudinal data[D]. Brunel University London, 2024.