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Trend Stationarity vs. Difference Stationarity

Michio Hatanaka

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Abstract

Abstract This chapter introduces difference stationarity (DS) and trend stationarity (TS) as two non-nested, separate hypotheses. TS is represented as an MA unit-root in Δxt, and as a limit of a sequence of the DS models. The DS is represented as a limit of a sequence of TS models. Data relevant to the discrimination between the DS and TS are explained.

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What this paper is about

Abstract This chapter introduces difference stationarity (DS) and trend stationarity (TS) as two non-nested, separate hypotheses. TS is represented as an MA unit-root in Δxt, and as a limit of a sequence of the DS models. The DS is represented as a limit of a sequence of TS models. Data relevant to the discrimination between the DS and TS are explained.

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Available abstract

Abstract This chapter introduces difference stationarity (DS) and trend stationarity (TS) as two non-nested, separate hypotheses. TS is represented as an MA unit-root in Δxt, and as a limit of a sequence of the DS models. The DS is represented as a limit of a sequence of TS models. Data relevant to the discrimination between the DS and TS are explained.

Key concepts: Limit (mathematics), Unit root, Sequence (biology), Mathematics, Statistics, Econometrics, Mathematical analysis, Biology

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