Skip to main content
Skip to main menu Skip to spotlight region Skip to secondary region Skip to UGA region Skip to Tertiary region Skip to Quaternary region Skip to unit footer

Slideshow

Leverage-based Sequential Sampling Method for Streaming Time Series Data

Professor , Department Head
tn@stat.uga.edu
Statistics Building Room 306

We consider a streaming time series data, which is assumed to come from a non-explosive p-th order autoregressive (AR(p)) model with p ≥ 1. Our goal is to estimate the parameters of this model using a subsample of random size drawn sequentially from the streaming data based on a stopping rule. Traditionally, sequential sampling is carried out after observing an initial sample of fixed size. However, our sampling starting point is chosen according to statistical leverage scores of the data and the subsample size is decided by a sequential sampling rule. We show that the least squares estimator of the model parameters based on the leverage-based sequential subsample is uniformly asymptotically normally distributed. We also support the theory by simulations and data analysis.

This is joint work with Rui Xie, Ping Ma, Wei Biao Wu, and Ray Bai

Support us

We appreciate your financial support. Your gift is important to us and helps support critical opportunities for students and faculty alike, including lectures, travel support, and any number of educational events that augment the classroom experience. Click here to learn more about giving.

Every dollar given has a direct impact upon our students and faculty.