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Bayesovské strukturální časové řady×Model ARIMA (autoregresní integrovaný klouzavý průměr)×Analýza přerušených časových řad (ITS)×Markov Chain Monte Carlo (MCMC)×
OborBayesovská statistikaEkonometrieKauzální inferenceBayesovská statistika
RodinaBayesian methodsRegression modelRegression modelBayesian methods
Rok vzniku201420152002
TvůrceScott & Varian (2014); Brodersen et al. (2015)Box & Jenkins (Box-Jenkins methodology)Wagner, Soumerai, Zhang & Ross-Degnan (segmented regression); Bernal, Cummins & Gasparrini (tutorial)
TypState-space model / Bayesian structural modelUnivariate time-series modelQuasi-experimental segmented regressionPosterior sampling algorithm
Původní zdrojScott, S. L. & Varian, H. R. (2014). Predicting the Present with Bayesian Structural Time Series. International Journal of Mathematical Modelling and Numerical Optimisation, 5(1/2), 4–23. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Bernal, J. L., Cummins, S., & Gasparrini, A. (2017). Interrupted time series regression for the evaluation of public health interventions: a tutorial. International Journal of Epidemiology, 46(1), 348-355. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Další názvyBSTS, Bayesian Yapısal Zaman Serisi (BSTS), bayesian state-space model, causal impact modelBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliITS analysis, segmented regression of time series, Kesintili Zaman Serisi (ITS) Analizimarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Příbuzné5553
ShrnutíBayesian Structural Time Series (BSTS) is a state-space modelling framework, introduced by Scott and Varian (2014), that decomposes a time series into additive components — trend, seasonality, and regression — and estimates them jointly through Bayesian inference. It underpins Google's CausalImpact library and is a powerful tool for both forecasting and counterfactual causal analysis of interventions.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).Interrupted Time Series analysis is a quasi-experimental design that estimates the effect of a single, well-dated intervention by comparing the trajectory of an outcome before and after it occurs. Formalised as segmented regression by Wagner and colleagues (2002) and popularised as a public-health evaluation tutorial by Bernal, Cummins and Gasparrini (2017), it separates the intervention's impact into a change in level and a change in slope.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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ScholarGatePorovnat metody: Bayesian Structural Time Series · ARIMA · Interrupted Time Series · MCMC. Získáno 2026-06-18 z https://scholargate.app/cs/compare