1. Pennsylvania State University
STAT 510: Applied Time Series Analysis. (n.d.). Lesson 1.2: The AR Model. Eberly College of Science. Retrieved from https://online.stat.psu.edu/stat510/lesson/1/1.2. The courseware defines: "An autoregressive model is when a value from a time series is regressed on previous values from that same time series." This directly supports the choice of Autoregressive for the described task.
2. Box
G. E. P.
Jenkins
G. M.
Reinsel
G. C.
& Ljung
G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). John Wiley & Sons. In Chapter 3
"Linear Stationary Models
" Section 3.1.1
"The Autoregressive Process
" the text formally defines the AR(p) model where the current value of the process is expressed as a finite
linear aggregate of previous values of the process and a random shock.
3. Hyndman
R. J.
& Athanasopoulos
G. (2018). Forecasting: Principles and Practice (2nd ed.). OTexts. In Chapter 8
Section 8.3
"Autoregressive (AR) models
" it is stated
"In an autoregression model
we forecast the variable of interest using a linear combination of past values of the variable."
4. Berndt
D. J.
& Clifford
J. (1994). Using dynamic time warping to find patterns in time series. In KDD workshop (Vol. 10
No. 16
pp. 359-370). This foundational paper describes DTW as a method for providing "a distance measure between two time series" (p. 360)
establishing its role in similarity measurement rather than forecasting.