A simple time to tumor distribution and the 'setting the clock back to zero' property
Titel:
A simple time to tumor distribution and the 'setting the clock back to zero' property
Auteur:
Rao, B. Raja
Verschenen in:
Communications in statistics
Paginering:
Jaargang 19 (1991) nr. 2 pagina's 583-598
Jaar:
1991
Inhoud:
The present paper introduces the 'setting the clock back to zero' property, of a family of life time distributions and proves some closure theorems for competing risks acting on an organism. It is proved that the family of simple time to tumor distributions proposed by Chiang and Conforti (1989) has this property. As a simple application of this result, the life expectancy [image omitted] at age X0 of an organism is derived for such a family. In our time to tumor application, if no tumor has been found in an organism of age x0, the life expectancy denotes that the organism can have, on the average, an additional [image omitted] time units of tumor-free life. If x0=0, the expression [image omitted] reduces to the ordinary expectation of life, see Chiang and Conforti (1989). Some further results and generalizations are discussed, with applications in competing risk theory.
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