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Operator semi-self-similar processes and their space-scaling matrices

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  • Saigo, Tatsuhiko
  • Tamura, Yozo

Abstract

Wide sense operator semi-self-similar processes are investigated with a focus on the class of space-scaling matrices of the processes. The existence of the exponent of the semi-self-similarity is also shown but the situation is different from the case of operator self-similar processes.

Suggested Citation

  • Saigo, Tatsuhiko & Tamura, Yozo, 2006. "Operator semi-self-similar processes and their space-scaling matrices," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 675-681, April.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:7:p:675-681
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    References listed on IDEAS

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    1. Maejima, Makoto & Mason, J. David, 1994. "Operator-self-similar stable processes," Stochastic Processes and their Applications, Elsevier, vol. 54(1), pages 139-163, November.
    2. Becker-Kern, Peter, 2004. "Random integral representation of operator-semi-self-similar processes with independent increments," Stochastic Processes and their Applications, Elsevier, vol. 109(2), pages 327-344, February.
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