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A stochastic Gompertz model with logarithmic therapy functions: Parameters estimation
- Source :
-
Applied Mathematics & Computation . Dec2012, Vol. 219 Issue 8, p3729-3739. 11p. - Publication Year :
- 2012
-
Abstract
- Abstract: This paper is concerned with the estimation of the parameters of interest in the drift coefficient of a stochastic Gompertz model with logarithmic therapeutic functions. The maximum likelihood method produces non-linear equations and the estimation of these parameters, specially of the tumor growth deceleration factor, have only been achieved to date through numerically-based approaches. The proposed method in this paper provides explicit expressions for the parameter estimators which, we shall be able, in future work, to study its statistical properties. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 219
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 83570559
- Full Text :
- https://doi.org/10.1016/j.amc.2012.09.074