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An integral characterization problem in an age-dependent cancer model

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  • Lee, Chinsan

Abstract

Characterization of the distribution of incomplete exponential random variables by an integral form is derived. The integral is based on the limiting distribution of a counting process derived from a two-stage age-dependent model for tumor growth in which exponentiality corresponding to the growth rate is independent of age. The characterization problem is of interest in itself and occurs in supercritical branching processes studied by Harris (1963) and others.

Suggested Citation

  • Lee, Chinsan, 1998. "An integral characterization problem in an age-dependent cancer model," Statistics & Probability Letters, Elsevier, vol. 40(2), pages 121-126, September.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:2:p:121-126
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