Salīdzināt metodes
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| Metode Dž. Krostona nepārtrauktai pieprasījuma prognozēšanai× | ARIMA (autoregresīvais integrētais slīdošā vidējā) modelis× | Parastā mazāko kvadrātu (OLS) regresija× | Puasona un negatīvās binomiālās regresijas× | Tētas metode× | |
|---|---|---|---|---|---|
| Nozare | Ekonometrija | Ekonometrija | Ekonometrija | Ekonometrija | Ekonometrija |
| Saime | Regression model | Regression model | Regression model | Regression model | Regression model |
| Izcelsmes gads≠ | 1972 | 2015 | 2019 | 1998 | 2000 |
| Autors≠ | J. D. Croston (1972) | Box & Jenkins (Box-Jenkins methodology) | Wooldridge (textbook treatment); classical least squares | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) | Assimakopoulos & Nikolopoulos |
| Tips≠ | Intermittent demand time-series forecasting | Univariate time-series model | Linear regression | Generalized linear model for count data | Univariate time-series forecasting model |
| Pirmavots≠ | Croston, J. D. (1972). Forecasting and Stock Control for Intermittent Demands. Operational Research Quarterly, 23(3), 289-303. 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: 978-1118675021 | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗ | Assimakopoulos, V. & Nikolopoulos, K. (2000). The Theta Model: A Decomposition Approach to Forecasting. International Journal of Forecasting, 16(4), 521-530. DOI ↗ |
| Citi nosaukumi≠ | Croston method, intermittent demand forecasting, Croston Yöntemi — Aralıklı Talep Tahmini | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon | theta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması Birincisi |
| Saistītās≠ | 4 | 5 | 5 | 4 | 4 |
| Kopsavilkums≠ | Croston's method, introduced by J. D. Croston in 1972, is a time-series forecasting technique built for intermittent demand series in which periods of zero demand are frequent. Instead of forecasting the raw series, it models the size of demand when it occurs and the interval between demand occurrences as two separate processes. | 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). | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred. | The Theta Method is a univariate time-series forecasting model introduced by Assimakopoulos and Nikolopoulos in 2000. It decomposes a series into two theta lines that capture its long-run trend and its short-run dynamics, forecasts each line separately, and combines them by a weighted average. Its simplicity and accuracy made it the winner of the M3 forecasting competition. |
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