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क्रॉस्टन की विधि (Croston's Method) रुक-रुक कर होने वाली मांग के लिए×ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×पॉइसन और ऋणात्मक द्विपद प्रतिगमन (Poisson and Negative Binomial Regression)×थीटा विधि×
क्षेत्रअर्थमितिअर्थमितिअर्थमितिअर्थमितिअर्थमिति
परिवारRegression modelRegression modelRegression modelRegression modelRegression model
उद्भव वर्ष19722015201919982000
प्रवर्तकJ. D. Croston (1972)Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresCameron & Trivedi (textbook treatment); Hilbe (negative binomial)Assimakopoulos & Nikolopoulos
प्रकारIntermittent demand time-series forecastingUnivariate time-series modelLinear regressionGeneralized linear model for count dataUnivariate time-series forecasting model
मौलिक स्रोतCroston, 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: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Cameron, 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 ↗
उपनामCroston method, intermittent demand forecasting, Croston Yöntemi — Aralıklı Talep TahminiBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonucount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyontheta model, theta forecasting, Theta Yöntemi — M3 Tahmin Yarışması Birincisi
संबंधित45544
सारांशCroston'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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