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ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×कंडिशनल वैल्यू-एट-रिस्क (अपेक्षित कमी)×
क्षेत्रअर्थमितिवित्त
परिवारRegression modelRegression model
उद्भव वर्ष20152000
प्रवर्तकBox & Jenkins (Box-Jenkins methodology)Rockafellar & Uryasev (2000); Acerbi & Tasche (2002)
प्रकारUnivariate time-series modelCoherent tail-risk measure
मौलिक स्रोतBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Rockafellar, R. T. & Uryasev, S. (2000). Optimization of Conditional Value-at-Risk. Journal of Risk, 2(3), 21-41. DOI ↗
उपनामBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliCVaR, expected shortfall, average value-at-risk, tail VaR
संबंधित55
सारांशARIMA 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).Conditional Value-at-Risk (CVaR), also called Expected Shortfall, is a coherent tail-risk measure that quantifies the conditional expectation of losses beyond the Value-at-Risk threshold. It was introduced for optimization by Rockafellar and Uryasev (2000) and shown to be coherent by Acerbi and Tasche (2002), and it has replaced VaR as the regulatory standard under Basel III/IV.
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