Description Author(s) References

This package presents descriptive statistics of functional data; implements principal component regression and partial least squares regression to provide point and distributional forecasts for functional data; utilizes functional linear regression, ordinary least squares, penalized least squares, ridge regression, and moving block approaches to dynamically update point and distributional forecasts when partial data points in the most recent curve are observed; performs stationarity test for a functional time series; estimates a long-run covariance function by kernel sandwich estimator.

Rob J Hyndman and Han Lin Shang

Maintainer: Han Lin Shang <hanlin.shang@anu.edu.au>

########################### # References in Statistics ###########################

R. J. Hyndman and H. L. Shang (2009) "Forecasting functional time series (with discussion)", *Journal of the Korean Statistical Society*, **38**(3), 199-221.

R. J. Hyndman and H. L. Shang (2010) "Rainbow plots, bagplots, and boxplots for functional data", *Journal of Computational and Graphical Statistics*, **19**(1), 29-45.

H. L. Shang and R. J. Hyndman (2011) "Nonparametric time series forecasting with dynamic updating", *Mathematics and Computers in Simulation*, **81**(7), 1310-1324.

H. L. Shang (2011) "rainbow: an R package for visualizing functional time series, *The R Journal*, **3**(2), 54-59.

H. L. Shang (2013) "Functional time series approach for forecasting very short-term electricity demand", *Journal of Applied Statistics*, **40**(1), 152-168.

H. L. Shang (2013) "ftsa: An R package for analyzing functional time series", *The R Journal*, **5**(1), 64-72.

H. L. Shang (2014) "A survey of functional principal component analysis", *Advances in Statistical Analysis*, **98**(2), 121-142.

H. L. Shang (2014) "Bayesian bandwidth estimation for a functional nonparametric regression model with mixed types of regressors and unknown error density", *Journal of Nonparametric Statistics*, **26**(3), 599-615.

H. L. Shang (2014) "Bayesian bandwidth estimation for a semi-functional partial linear regression model with unknown error density", *Computational Statistics*, **29**(3-4), 829-848.

H. L. Shang (2015) "Resampling techniques for estimating the distribution of descriptive statistics of functional data", *Communications in Statistics - Simulation and Computation*, **44**(3), 614- 635.

H. L. Shang (2016) "Mortality and life expectancy forecasting for a group of populations in developed countries: A robust multilevel functional data method", in C. Agostinelli, A. Basu, P. Filzmoser, D. Mukherjee (ed.), Recent Advances in Robust Statistics: Theory and Applications, Springer, India, pp. 169-184.

H. L. Shang (2016) "Mortality and life expectancy forecasting for a group of populations in developed countries: A multilevel functional data method", *Annals of Applied Statistics*, **10**(3), 1639-1672.

H. L. Shang (2016) "A Bayesian approach for determining the optimal semi-metric and bandwidth in scalar-on-function quantile regression with unknown error density and dependent functional data", *Journal of Multivariate Analysis*, **146**, 95-104.

H. L. Shang (2017) "Functional time series forecasting with dynamic updating: An application to intraday particulate matter concentration", *Econometrics and Statistics*, **1**, 184-200.

H. L. Shang (2017) "Forecasting Intraday S&P 500 Index Returns: A Functional Time Series Approach", *Journal of Forecasting*, **36**(7), 741-755.

H. L. Shang and R. J. Hyndman (2017) "Grouped functional time series forecasting: An application to age-specific mortality rates", *Journal of Computational and Graphical Statistics*, **26**(2), 330-343.

G. Rice and H. L. Shang (2017) "A plug-in bandwidth selection procedure for long-run covariance estimation with stationary functional time series", *Journal of Time Series Analysis*, **38**(4), 591-609.

P. Reiss, J. Goldsmith, H. L. Shang and R. T. Ogden (2017) "Methods for scalar-on-function regression", *International Statistical Review*, **85**(2), 228-249.

P. Kokoszka, G. Rice and H. L. Shang (2017) "Inference for the autocovariance of a functional time series under conditional heteroscedasticity", *Journal of Multivariate Analysis*, **162**, 32-50.

Y. Gao, H. L. Shang and Y. Yang (2017) "High-dimensional functional time series forecasting", in G. Aneiros, E. Bongiorno, R. Cao and P. Vieu (ed.), Functional Statistics and Related Fields, Springer, Cham, pp. 131-136.

Y. Gao and H. L. Shang (2017) "Multivariate functional time series forecasting: An application to age-specific mortality rates", *Risks*, **5**(2), Article 21.

H. L. Shang (2018) "Visualizing rate of change: An application to age-specific fertility rates", *Journal of the Royal Statistical Society: Series A (Statistics in Society)*, **182**(1), 249-262.

H. L. Shang (2018) "Bootstrap methods for stationary functional time series", *Statistics and Computing*, **28**(1), 1-10.

Y. Gao, H. L. Shang and Y. Yang (2019) "High-dimensional functional time series forecasting: An application to age-specific mortality rates", *Journal of Multivariate Analysis*, **170**, 232-243.

D. Li, P. M. Robinson and H. L. Shang (2019) "Long-range dependent curve time series", *Journal of the American Statistical Association: Theory and Methods*, **forthcoming**.

############################# # References in Population Studies #############################

H. L. Shang, H. Booth and R. J. Hyndman (2011) "Point and interval forecasts of mortality rates and life expectancy: a comparison of ten principal component methods, *Demographic Research*, **25**(5), 173-214.

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 (2012) "Point and interval forecasts of age-specific life expectancies: a model averaging", *Demographic Research*, **27**, 593-644.

H. L. Shang, A. Wisniowski, J. Bijak, P. W. F. Smith and J. Raymer (2014) "Bayesian functional models for population forecasting", in M. Marsili and G. Capacci (eds), Proceedings of the Sixth Eurostat/UNECE Work Session on Demographic Projections, Istituto nazionale di statistica, Rome, pp. 313-325.

H. L. Shang (2015) "Selection of the optimal Box-Cox transformation parameter for modelling and forecasting age-specific fertility", *Journal of Population Research*, **32**(1), 69-79.

H. L. Shang (2015) "Forecast accuracy comparison of age-specific mortality and life expectancy: Statistical tests of the results", *Population Studies*, 69(3), 317-335.

H. L. Shang, P. W. F. Smith, J. Bijak, A. Wisniowski (2016) "A multilevel functional data method for forecasting population, with an application to the United Kingdom, *International Journal of Forecasting*, 32(3), 629-649.

H. L. Shang (2017) "Reconciling forecasts of infant mortality rates at national and sub-national levels: Grouped time-series method", *Population Research and Policy Review*, 36(1), 55-84.

########################### # References in Actuarial Studies ###########################

H. L. Shang and S. Haberman (2017) "Grouped multivariate and functional time series forecasting: An application to annuity pricing", Presented at the Living to 100 Symposium, Orlando Florida, January 4-6, 2017.

H. L. Shang and S. Haberman (2017) "Grouped multivariate and functional time series forecasting: An application to annuity pricing", *Insurance: Mathematics and Economics*, **75**, 166-179.

H. L. Shang and S. Haberman (2018) "Model confidence sets and forecast combination: An application to age-specific mortality", *Genus - Journal of Population Sciences*, **forthcoming**.

#################### # References in Finance ####################

F. Kearney and H. L. Shang (2019) "Uncovering predictability in the evolution of the WTI oil futures curve", *European Financial Management*, **forthcoming**.

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