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Transition probabilities in a problem of stochastic process switching

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  • Veestraeten, Dirk

Abstract

Extant solutions for state-contingent process switching use first-passage time densities or differential equations. We alternatively employ transition probabilities. These conditional likelihood functions also have obvious appeal for econometric analyses as well as derivative pricing and decision making under absorption and extinction.

Suggested Citation

  • Veestraeten, Dirk, 2012. "Transition probabilities in a problem of stochastic process switching," Economics Letters, Elsevier, vol. 114(2), pages 201-204.
    • Handle: RePEc:eee:ecolet:v:114:y:2012:i:2:p:201-204
    DOI: 10.1016/j.econlet.2011.09.042
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    References listed on IDEAS

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    1. Flood, Robert P & Garber, Peter M, 1983. "A Model of Stochastic Process Switching," Econometrica, Econometric Society, vol. 51(3), pages 537-551, May.
    2. Miller, Marcus & Sutherland, Alan, 1994. "Speculative Anticipations of Sterling's Return to Gold: Was Keynes Wrong?," Economic Journal, Royal Economic Society, vol. 104(425), pages 804-812, July.
    3. Smith, Gregor W & Smith, R Todd, 1990. "Stochastic Process Switching and the Return to Gold, 1925," Economic Journal, Royal Economic Society, vol. 100(399), pages 164-175, March.
    4. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
    5. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Stochastic Process Switching: Some Simple Solutions," Econometrica, Econometric Society, vol. 59(1), pages 241-250, January.
    6. Smith, Gregor W, 1991. "Solution to a Problem of Stochastic Process Switching," Econometrica, Econometric Society, vol. 59(1), pages 237-239, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Absorption; Derivative pricing; Maximum likelihood estimation; Stochastic process switching; Transition probability;
    All these keywords.

    JEL classification:

    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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