Bayesian modeling for a new cure rate model based on the Nielsen distribution. (English) Zbl 07644496

Santos-Neto, Manoel; Gómez, Yolanda M.; Gallardo, Diego I.; Costa, Eliardo G.

Braz. J. Probab. Stat. 36, No. 4, 807-820 (2022).

Summary: In this paper, we proposed a new cure rate model based on the Nielsen distribution. This model has a simple form for the probability generating function, it includes as a particular case the logarithmic distribution and it is a proposal recently discussed in greater detail in the literature, so its application within the context of cure models is very attractive. The model is parameterized directly in the cure rate, facilitating the comparison among other cure rate models in the literature also parameterized in this term. The estimation is approached based on a Bayesian paradigm. A real data set is considered to illustrate the performance of our proposal.

MSC:

62P10	Applications of statistics to biology and medical sciences; meta analysis
92C50	Medical applications (general)

Keywords:

long-term survival model; maximum likelihood; Nielsen distribution; reparameterization

Software:

R; car; Stan; rstan; timereg; RStan; bridgesampling; rethinking; carData

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