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एआरएफआईएमए: भिन्नात्मक समाकलित एआरएमए मॉडल×लॉजिस्टिक रिग्रेशन×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×
क्षेत्रअर्थमितिअनुसंधान सांख्यिकीअर्थमिति
परिवारRegression modelProcess / pipelineRegression model
उद्भव वर्ष198019582019
प्रवर्तकGranger & Joyeux (1980); Hosking (1981)David Roxbee CoxWooldridge (textbook treatment); classical least squares
प्रकारLong-memory time series modelMethodLinear regression
मौलिक स्रोतGranger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15–29. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
उपनामfractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing modellogit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
संबंधित535
सारांशARFIMA is a time series model that captures long-memory behaviour using a fractional differencing parameter d, generalising the integer differencing of ARIMA. It was introduced by Granger and Joyeux (1980) and formalised by Hosking (1981) to describe series whose autocorrelations decay slowly rather than abruptly.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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).
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