Functional data analysis in forecasting Serbian fertility

A new approach, combining functional data analysis and principal components decomposition in order to forecasting demographic rates, introduced recently by Hyndman and his associates, is tested on official data series of Serbian age-specific fertility rates available for period 1950-2009. The ori...

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Main Author: Nikitović Vladimir
Format: Article
Language:English
Published: Institute of Social Science, Belgrade 2011-01-01
Series:Stanovništvo
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0038-982X/2011/0038-982X1102073N.pdf
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author Nikitović Vladimir
author_facet Nikitović Vladimir
author_sort Nikitović Vladimir
collection DOAJ
description A new approach, combining functional data analysis and principal components decomposition in order to forecasting demographic rates, introduced recently by Hyndman and his associates, is tested on official data series of Serbian age-specific fertility rates available for period 1950-2009. The original concept of the method with its extensions and improvements is applied to region-specific data for the country (Central Serbia and Vojvodina). One of the most important benefits of the method reflected in confirmation that is essentially to model and forecast more than one principal component in order to adequately address sources of variation in fertility. Similarly, modelling and forecasting fertility rates with regards to age and not total fertility rates shows how important it is for the recognized tendency of postponing childbearing in Serbia to be included in coefficients of functional time series. Besides, the method is based completely on evaluation of historical data, without subjective views of forecasters having to be taken into account. Coherent functional product ratio forecasts of two regions proved to be highly convergent on the long-term not allowing for outliers to contaminate the forecast.
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spelling doaj-art-7f1d0735f73f416aaee9d7e20a4812bb2025-08-20T01:54:37ZengInstitute of Social Science, BelgradeStanovništvo0038-982X2011-01-01492738910.2298/STNV1102073NFunctional data analysis in forecasting Serbian fertilityNikitović VladimirA new approach, combining functional data analysis and principal components decomposition in order to forecasting demographic rates, introduced recently by Hyndman and his associates, is tested on official data series of Serbian age-specific fertility rates available for period 1950-2009. The original concept of the method with its extensions and improvements is applied to region-specific data for the country (Central Serbia and Vojvodina). One of the most important benefits of the method reflected in confirmation that is essentially to model and forecast more than one principal component in order to adequately address sources of variation in fertility. Similarly, modelling and forecasting fertility rates with regards to age and not total fertility rates shows how important it is for the recognized tendency of postponing childbearing in Serbia to be included in coefficients of functional time series. Besides, the method is based completely on evaluation of historical data, without subjective views of forecasters having to be taken into account. Coherent functional product ratio forecasts of two regions proved to be highly convergent on the long-term not allowing for outliers to contaminate the forecast.http://www.doiserbia.nb.rs/img/doi/0038-982X/2011/0038-982X1102073N.pdfpopulation forecastingfunctional approachfertilitySerbia
spellingShingle Nikitović Vladimir
Functional data analysis in forecasting Serbian fertility
Stanovništvo
population forecasting
functional approach
fertility
Serbia
title Functional data analysis in forecasting Serbian fertility
title_full Functional data analysis in forecasting Serbian fertility
title_fullStr Functional data analysis in forecasting Serbian fertility
title_full_unstemmed Functional data analysis in forecasting Serbian fertility
title_short Functional data analysis in forecasting Serbian fertility
title_sort functional data analysis in forecasting serbian fertility
topic population forecasting
functional approach
fertility
Serbia
url http://www.doiserbia.nb.rs/img/doi/0038-982X/2011/0038-982X1102073N.pdf
work_keys_str_mv AT nikitovicvladimir functionaldataanalysisinforecastingserbianfertility