Functional Principal Component Analysis of Density Families with Complex Survey Data on UK Prices

This paper studies the evolution of prices distribution for the entire United Kingdom economy between February 1996 and September 2012 using the functional principal components analysis framework of Kneip and Utikal (2001, Journal of the American Statistical Association). The original methods and theoretical results are adapted here to data from stratified sampling that utilizes the density estimator of Buskirk Lohr (2005, Journal of Statistical Planning and Inference) that incorporates sampling weights.