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Random linear recursions with dependent coefficients

Author

Listed:
  • Ghosh, Arka P.
  • Hay, Diana
  • Hirpara, Vivek
  • Rastegar, Reza
  • Roitershtein, Alexander
  • Schulteis, Ashley
  • Suh, Jiyeon

Abstract

We consider the equation Rn=Qn+MnRn-1, with random non-i.i.d. coefficients , and show that the distribution tails of the stationary solution to this equation are regularly varying at infinity.

Suggested Citation

  • Ghosh, Arka P. & Hay, Diana & Hirpara, Vivek & Rastegar, Reza & Roitershtein, Alexander & Schulteis, Ashley & Suh, Jiyeon, 2010. "Random linear recursions with dependent coefficients," Statistics & Probability Letters, Elsevier, vol. 80(21-22), pages 1597-1605, November.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:21-22:p:1597-1605
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    References listed on IDEAS

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    1. Stylianos Perrakis & Claude Henin, 1974. "The Evaluation of Risky Investments with Random Timing of Cash Returns," Management Science, INFORMS, vol. 21(1), pages 79-86, September.
    2. de Haan, Laurens & Resnick, Sidney I. & Rootzén, Holger & de Vries, Casper G., 1989. "Extremal behaviour of solutions to a stochastic difference equation with applications to arch processes," Stochastic Processes and their Applications, Elsevier, vol. 32(2), pages 213-224, August.
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    Cited by:

    1. Stachurski, John & Toda, Alexis Akira, 2019. "An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity," Journal of Economic Theory, Elsevier, vol. 182(C), pages 1-24.
    2. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    3. Hay, Diana & Rastegar, Reza & Roitershtein, Alexander, 2011. "Multivariate linear recursions with Markov-dependent coefficients," Journal of Multivariate Analysis, Elsevier, vol. 102(3), pages 521-527, March.
    4. Jess Benhabib & Chetan Dave, 2014. "Learning, Large Deviations and Rare Events," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 367-382, July.

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