
Chapter 11
Time Series Data Streams
Time series are sequences of measurements that follow non-random orders.
The analysis of time series is based on the assumption that successive values
of a random variable represent consecutive measurements taken at spaced time
intervals. A common notation specifies a time series X indexed by the natural
numbers:
x
1
, x
2
, . . . , x
t−1
, x
t
, . . . .
Time Series Analysis refers to applying different data analysis techniques
to model dependencies in the sequence of measurements. The focus of classical
time series analysis was on forecasting and pattern identification. Data analy-
sis techniques recently applied to time series ...