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Limits and Inferences for Alpha–Stable Variables

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  • Jensen DR

    (Department of Statistics, Virginia Polytechnic Institute and State University, USA)

Abstract

Distributions having excessive tails are modeled in various venues via α–stable sequences deficit in moments of various orders. Essential statistics are examined under independent vs spherically dependent cases. The former exhibits such critical pathologies as inconsistent sample means. The latter support versions of some classical procedures even without moments as conventionally required. In particular, despite heavy tails, Student’s tests for means nonetheless remain exact in level and power. etc. AMS Subject Classification: 62E15, 62H15, 62J20.

Suggested Citation

  • Jensen DR, 2017. "Limits and Inferences for Alpha–Stable Variables," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 4(1), pages 15-18, December.
    • Handle: RePEc:adp:jbboaj:v:4:y:2017:i:1:p:15-18
    DOI: 10.19080/BBOAJ.2017.04.555630
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    References listed on IDEAS

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