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Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution

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  • Elliott, Graham

Abstract

Researchers desire powerful tests for unit roots. This paper derives the family of asymptotically most powerful tests for unit roots when the initial condition is drawn from its unconditional distribution under the alternative. This enables both the examination of previously proposed statistics and the construction of powerful tests against this alternative model. Copyright 1999 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-783, August.
  • Handle: RePEc:ier:iecrev:v:40:y:1999:i:3:p:767-83
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    1. Avinash Dixit & Peter Hammond & Michael Hoel, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," Review of Economic Studies, Oxford University Press, vol. 47(3), pages 551-556.
    2. Svensson, Lars E O, 1986. " On the Intergenerational Allocation of Natural Resources: Comment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 153-155.
    3. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, March.
    4. Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, pages 972-974.
    5. Lozada, Gabriel A., 1995. "Resource depletion, national income accounting, and the value of optimal dynamic programs," Resource and Energy Economics, Elsevier, vol. 17(2), pages 137-154, August.
    6. Kemp,M.C. & Van Long, N., 1995. "On the Evaluation of Social Income in a Dynamic Economy: Generalizations," Papers 95/43, New South Wales - School of Economics.
    7. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, pages 975-985.
    8. Vincent, Jeffrey R. & Panayotou, Theodore & Hartwick, John M., 1997. "Resource Depletion and Sustainability in Small Open Economies," Journal of Environmental Economics and Management, Elsevier, vol. 33(3), pages 274-286, July.
    9. Geir Asheim, 1994. "The Weitzman Foundation of NNP with Non-constant Interest Rates," CESifo Working Paper Series 75, CESifo Group Munich.
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    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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