Stationarity means that the: a. error terms are not correlated. b. time series does not exhibit severe fluctuations. c. probability distribution of the time series variable does not change over time. d. forecasts remain within 1.96 standard deviation outside the sample period.
Question
Stationarity means that the:
a. error terms are not correlated.
b. time series does not exhibit severe fluctuations.
c. probability distribution of the time series variable does not change over time.
d. forecasts remain within 1.96 standard deviation outside the sample period.
Solution
The correct answer is:
c. The probability distribution of the time series variable does not change over time.
Stationarity in a time series implies that its statistical properties such as mean, variance, and autocorrelation are all constant over time. This means that the overall behavior of the series remains the same over time and does not depend on the time at which the series is observed. This is a key assumption in many statistical models and methods, as it allows us to make predictions about future behavior based on past behavior.
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