Stationarity means that the: a. time series does not exhibit severe fluctuations. b. error terms are not correlated. c. forecasts remain within 1.96 standard deviation outside the sample period. d. probability distribution of the time series variable does not change over time.
Question
Stationarity means that the:
a. time series does not exhibit severe fluctuations.
b. error terms are not correlated.
c. forecasts remain within 1.96 standard deviation outside the sample period.
d. probability distribution of the time series variable does not change over time.
Solution
The correct answer is:
d. 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 a stationary time series does not have trend or seasonal effects and the structure of such series does not change over time. This is what option d is referring to.
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