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Brittle power: On Roman Emperors and exponential lengths of rule

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  • Khmaladze, Estate
  • Brownrigg, Ray
  • Haywood, John

Abstract

In this paper we demonstrate that lengths of rule of Roman Emperors were exponentially distributed, implying that their reigns ceased unexpectedly, without accumulation of prior tensions, political or economic damages, etc. A distribution-free goodness of fit test of exponentiality is used, based on a transformed empirical process. That test is complemented by further techniques which make use of age at ascent to rule.

Suggested Citation

  • Khmaladze, Estate & Brownrigg, Ray & Haywood, John, 2007. "Brittle power: On Roman Emperors and exponential lengths of rule," Statistics & Probability Letters, Elsevier, vol. 77(12), pages 1248-1257, July.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:12:p:1248-1257
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    Cited by:

    1. Lu, Peng & Yang, Hou & Li, Mengdi & Zhang, Zhuo, 2021. "The sandpile model and empire dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Haywood, John & Khmaladze, Estate, 2008. "On distribution-free goodness-of-fit testing of exponentiality," Journal of Econometrics, Elsevier, vol. 143(1), pages 5-18, March.

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