To qualify as a covariance stationary process, which of the following does not have to be true?
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If a series is covariance stationary then the unconditional mean is constant across periods. The unconditional mean or expected value is the same from period to period: E[xt] = E[xt+1]. The covariance between any two observations equal distance apart will be equal, e.g., the t and t-2 observations with the t and t+2 observations. The one relationship that does not have to be true is the covariance between the t and t-1 observations equaling that of the t and t-2 observations.
Which of the following is NOT a requirement for a series to be covariance stationary? The:
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A time series can be covariance stationary and have either a positive or a negative trend.
Which of the following statements regarding covariance stationarity is CORRECT?
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Covariance stationarity requires that the expected value and the variance of the time series be constant over time.
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