Prediction and interpolation of time series by state space models

A large amount of data collected today is in the form of a time series. In order to make realistic inferences based on time series forecasts, in addition to point predictions, prediction intervals or other measures of uncertainty should be presented. Multiple sources of uncertainty are often igno...

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Bibliographic Details
Main Author: Helske, Jouni
Other Authors: Faculty of Mathematics and Science, Matemaattis-luonnontieteellinen tiedekunta, Matematiikan ja tilastotieteen laitos, Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylän yliopisto
Format: Doctoral dissertation
Language:eng
Published: 2015
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/49043
Description
Summary:A large amount of data collected today is in the form of a time series. In order to make realistic inferences based on time series forecasts, in addition to point predictions, prediction intervals or other measures of uncertainty should be presented. Multiple sources of uncertainty are often ignored due to the complexities involved in accounting them correctly. In this dissertation, some of these problems are reviewed and some new solutions are presented. A state space approach is also advocated for an e cient and exible framework for time series forecasting, which can be used for combining multiple types of traditional time series and other models.