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An Algorithm for Exact Maximum Likelihood Estimation of Autoregressive-Moving Average Models by Means of Kalman Filtering

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This article is published in Applied statistics.The article was published on 1980-11-01. It has received 175 citations till now. The article focuses on the topics: Expectation–maximization algorithm & Maximum likelihood sequence estimation.

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Citations
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Forecasting time series with complex seasonal patterns using exponential smoothing

TL;DR: In this article, an innovations state space modeling framework is introduced for forecasting complex seasonal time series such as those with multiple seasonal periods, high-frequency seasonality, non-integer seasonality and dual-calendar effects.
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Modeling persistence in hydrological time series using fractional differencing

TL;DR: In this paper, the authors generalized the autoregressive integrated moving average (ARIMA) time series models by permitting the degree of differencing d to take fractional values.
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Short-Term Traffic Flow Forecasting: An Experimental Comparison of Time-Series Analysis and Supervised Learning

TL;DR: The SARIMA model coupled with a Kalman filter is the most accurate model; however, the proposed seasonal support vector regressor turns out to be highly competitive when performing forecasts during the most congested periods.
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Trades, quotes, inventories, and information

TL;DR: In this paper, an empirical examination of the relation between trades and quote revisions for New York Stock Exchange-listed stocks is designed to ascertain asymmetric-information and inventory-control effects.
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Estimating Missing Observations in Economic Time Series

TL;DR: In this paper, the maximum likelihood estimation of the parameters in an ARIMA model when some of the observations are missing or subject to temporal aggregation is considered, and both problems can be solved by setting up the model in state space form and applying the Kalman filter.
References
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Book

Time series analysis, forecasting and control

TL;DR: In this article, a complete revision of a classic, seminal, and authoritative book that has been the model for most books on the topic written since 1970 is presented, focusing on practical techniques throughout, rather than a rigorous mathematical treatment of the subject.
Journal ArticleDOI

Time Series Analysis Forecasting and Control

TL;DR: This revision of a classic, seminal, and authoritative book explores the building of stochastic models for time series and their use in important areas of application —forecasting, model specification, estimation, and checking, transfer function modeling of dynamic relationships, modeling the effects of intervention events, and process control.
Journal ArticleDOI

Maximum likelihood estimation of regression models with autoregressive-moving average disturbances

TL;DR: In this paper, the regression model with autoregressive-moving average disturbances is cast in a form suitable for the application of Kalman filtering techniques, which enables the generalized least squares estimator to be calculated without evaluating and inverting the covariance matrix of the disturbances.