Age-specific fertility rates between ages 15 and 49 in Australia from 1921 to 2006.
The age-specific fertility rates can be smoothed using a weighted median smoothing B-splines, constrained to be concave.
data(Australiafertility)
data(Australiasmoothfertility)An object of class fts.
Han Lin Shang
Australian fertility rates and populations (1921-2006) for age groups (15-49) were obtained from the Australian Bureau of Statistics (Cat.No.3105.0.65.001, Table 38). These are defined as the number of live births during the calendar year, according to the age of the mother, per 1000 of the female resident population of the same age at 30 June.
Australiasmoothfertility is the smoothed version of Australiafertility data. The smoothing technique is the penalized regression spline with concave constraint, described in Hyndman and Ullah (2007).
R. J. Hyndman and M. S. Ullah (2007) "Robust forecasting of mortality and fertility rates: A functional data approach", Computational Statistics and Data Analysis, 51(10), 4942-4956.
R. J. Hyndman and H. Booth (2008) "Stochastic population forecasts using functional data models for mortality, fertility and migration", International Journal of Forecasting, 24(3), 323-342.
R. J. Hyndman and H. L. Shang (2009) "Forecasting functional time series (with discussion)", Journal of the Korean Statistical Society, 38(3), 199-221.
H. L. Shang (2012) Point and interval forecasts of age-specific fertility rates: a comparison of functional principal component methods, Journal of Population Research, 29(3), 249-267.
H. L. Shang (2015) On the selection of optimal Box-Cox transformation parameter for modeling and forecasting age-specific fertility, Journal of Population Research, 32(1), 69-79.
H. L. Shang (2016) Visualising rate of change: application to age-specific fertility, https://arxiv.org/abs/1406.4386.
plot(Australiafertility)
plot(Australiasmoothfertility)
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