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150324s1987 xx |||||o 00| ||eng c |
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|a 10.2307/1913237
|2 doi
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|a (DE-627)JST028847032
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|a (JST)1913237
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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| 100 |
1 |
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|a Phillips, P. C. B.
|e verfasserin
|4 aut
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| 245 |
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|a Time Series Regression with a Unit Root
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|c 1987
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
|b c
|2 rdamedia
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|a Online-Ressource
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|a This paper studies the random walk, in a general time series setting that allows for weakly dependent and heterogeneously distributed innovations. It is shown that simple least squares regression consistently estimates a unit root under very general conditions in spite of the presence of autocorrelated errors. The limiting distribution of the standardized estimator and the associated regression t statistic are found using functional central limit theory. New tests of the random walk hypothesis are developed which permit a wide class of dependent and heterogeneous innovation sequences. A new limiting distribution theory is constructed based on the concept of continuous data recording. This theory, together with an asymptotic expansion that is developed in the paper for the unit root case, explain many of the interesting experimental results recently reported in Evans and Savin (1981, 1984).
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|a Copyright 1987 The Econometric Society
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|a Unit root, time series, functional limit theory, Wiener process, weak dependence, continuous record, asympototic expansion
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| 650 |
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|a Information science
|x Data products
|x Datasets
|x Time series
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Statistical theories
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Random walk
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| 650 |
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4 |
|a Information science
|x Information analysis
|x Data analysis
|x Regression analysis
|x Linear regression
|x Least squares
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Measures of variability
|x Statistical variance
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Statistical models
|x Time series models
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| 650 |
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|a Philosophy
|x Applied philosophy
|x Philosophy of science
|x Scientific method
|x Hypothesis testing
|x Null hypothesis
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| 650 |
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|a Economics
|x Economic disciplines
|x Applied economics
|x Economic modeling
|x Economic models
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| 655 |
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|a research-article
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| 773 |
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|i Enthalten in
|t Econometrica
|d Wiley
|g 55(1987), 2, Seite 277-301
|w (DE-627)270425721
|w (DE-600)1477253-X
|x 14680262
|7 nnns
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| 773 |
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|g volume:55
|g year:1987
|g number:2
|g pages:277-301
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|u https://www.jstor.org/stable/1913237
|3 Volltext
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|u https://doi.org/10.2307/1913237
|3 Volltext
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|d 55
|j 1987
|e 2
|h 277-301
|