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Book ChapterDOI

Fitting autoregressive models for prediction

Hirotugu Akaike
- 01 Dec 1969 - 
- Vol. 21, Iss: 1, pp 243-247
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TLDR
This is a preliminary report on a newly developed simple and practical procedure of statistical identification of predictors by using autoregressive models in a stationary time series.
Abstract
This is a preliminary report on a newly developed simple and practical procedure of statistical identification of predictors by using autoregressive models. The use of autoregressive representation of a stationary time series (or the innovations approach) in the analysis of time series has recently been attracting attentions of many research workers and it is expected that this time domain approach will give answers to many problems, such as the identification of noisy feedback systems, which could not be solved by the direct application of frequency domain approach [1], [2], [3], [9].

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Citations
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Journal ArticleDOI

Testing for a Unit Root in Time Series With Pretest Data-Based Model Selection

TL;DR: In this article, the authors examined the impact of data-based lag-length estimation on the behavior of the augmented Dickey-Fuller (ADF) test for a unit root and derived conditions under which the ADF test converges to the distribution tabulated by Dickey and Fuller.
Journal ArticleDOI

Nonlinear Statistical Models.

I. Ford, +1 more
- 01 Jun 1989 - 
Journal ArticleDOI

Semiparametric Estimates of the Relation between Weather and Electricity Sales

TL;DR: In this article, a nonlinear relationship between electricity sales and temperature is estimated using a semiparametric regression procedure that easily allows linear transformations of the data and accommodates introduction of covariates, timing adjustments due to the actual billing schedules, and serial correlation.
Journal ArticleDOI

Maximum entropy spectral analysis and autoregressive decomposition

TL;DR: The duality between the maximum entropy method (MEM) and the autoregressive representation of the data allows the application of recent advances in AR analysis to MEM in an attempt to obviate some shortcomings in this method of spectral decomposition as mentioned in this paper.
Proceedings ArticleDOI

DESIRE: Distant Future Prediction in Dynamic Scenes with Interacting Agents

TL;DR: The proposed Deep Stochastic IOC RNN Encoder-decoder framework, DESIRE, for the task of future predictions of multiple interacting agents in dynamic scenes significantly improves the prediction accuracy compared to other baseline methods.