Second-generation functional data

S Koner, AM Staicu - Annual review of statistics and its …, 2023 - annualreviews.org
Modern studies from a variety of fields record multiple functional observations according to
either multivariate, longitudinal, spatial, or time series designs. We refer to such data as …

Self-normalization for time series: a review of recent developments

X Shao - Journal of the American Statistical Association, 2015 - Taylor & Francis
This article reviews some recent developments on the inference of time series data using the
self-normalized approach. We aim to provide a detailed discussion about the use of self …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

Testing stationarity of functional time series

L Horváth, P Kokoszka, G Rice - Journal of Econometrics, 2014 - Elsevier
Economic and financial data often take the form of a collection of curves observed
consecutively over time. Examples include, intraday price curves, yield and term structure …

Detecting and dating structural breaks in functional data without dimension reduction

A Aue, G Rice, O Sönmez - … the Royal Statistical Society Series B …, 2018 - academic.oup.com
Methodology is proposed to uncover structural breaks in functional data that is 'fully
functional'in the sense that it does not rely on dimension reduction techniques. A thorough …

A plug‐in bandwidth selection procedure for long‐run covariance estimation with stationary functional time series

G Rice, HL Shang - Journal of time series Analysis, 2017 - Wiley Online Library
In several arenas of application, it is becoming increasingly common to consider time series
of curves or functions. Many inferential procedures employed in the analysis of such data …

Testing relevant hypotheses in functional time series via self-normalization

H Dette, K Kokot, S Volgushev - Journal of the Royal Statistical …, 2020 - academic.oup.com
We develop methodology for testing relevant hypotheses about functional time series in a
tuning-free way. Instead of testing for exact equality, eg for the equality of two mean …

A subsampled double bootstrap for massive data

S Sengupta, S Volgushev, X Shao - Journal of the American …, 2016 - Taylor & Francis
The bootstrap is a popular and powerful method for assessing precision of estimators and
inferential methods. However, for massive datasets that are increasingly prevalent, the …

Principal component analysis of spatially indexed functions

T Kuenzer, S Hörmann, P Kokoszka - Journal of the American …, 2021 - Taylor & Francis
We develop an expansion, similar in some respects to the Karhunen–Loève expansion, but
which is more suitable for functional data indexed by spatial locations on a grid. Unlike the …

[HTML][HTML] Kolmogorov–Smirnov type testing for structural breaks: A new adjusted-range based self-normalization approach

Y Hong, O Linton, B McCabe, J Sun, S Wang - Journal of Econometrics, 2024 - Elsevier
A popular self-normalization (SN) approach in time series analysis uses the variance of a
partial sum as a self-normalizer. This is known to be sensitive to irregularities such as …