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| Model ARIMA (Autoregressive Integrated Moving Average)× | Analýza životných tabuliek× | |
|---|---|---|
| Odbor≠ | Ekonometria | Demografia |
| Rodina≠ | Regression model | Survival analysis |
| Rok vzniku≠ | 2015 | 1984 |
| Tvorca≠ | Box & Jenkins (Box-Jenkins methodology) | Demographic/actuarial tradition; Chiang |
| Typ≠ | Univariate time-series model | Age-structured mortality estimator |
| Pôvodný zdroj≠ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Chiang, C. L. (1984). The Life Table and Its Applications. Robert E. Krieger Publishing. ISBN: 978-0-89874-565-2 |
| Ďalšie názvy≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | Mortality Table, Actuarial Table, Survival Table, Yaşam Tablosu |
| Príbuzné≠ | 5 | 3 |
| Zhrnutie≠ | 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). | A life table is a systematic, age-structured summary of the mortality experience of a population. It traces a hypothetical cohort of births — conventionally 100,000 — through successive age intervals, recording how many survive, how many die, and how many person-years are lived at each interval. The method was formalized in its modern probabilistic form by Chiang (1984), synthesizing centuries of actuarial and demographic practice into a rigorous statistical framework applicable to human and biological populations alike. |
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