A New One Parameter Lifetime Distribution with Applications in Survival Analysis of Cancer
Patients
Abstract
The survival analysis of cancer patients needs special consideration to find a suitable lifetime distribution. The
search for a suitable distribution for modeling survival time of cancer patients is really a challenge due to the
stochastic nature of their survival time. During recent decades a number of lifetime distributions have been
proposed in statistics literature. In this paper, firstly several one parameter lifetime distributions have been
examined to fit survival time of cancer patients. Secondly, generalizations of one parameter lifetime
distributions have been examined to test the goodness of fit. Thirdly, an attempt has been made to propose a new
lifetime distribution which would provide much closure fit than several other one parameter and two-parameter
lifetime distributions to survival time of cancer patients. Finally, some statistical properties, estimation of
parameter using maximum likelihood estimation and applications of the proposed distribution have been
discussed.
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