On a class of non‐linear transformation cure rate models
| Autor: | Fotios S. Milienos, Narayanaswamy Balakrishnan |
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| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Inflation Skin Neoplasms Generalization media_common.quotation_subject Binary number 01 natural sciences Interpretation (model theory) 010104 statistics & probability 03 medical and health sciences 0302 clinical medicine Humans Applied mathematics 030212 general & internal medicine 0101 mathematics Melanoma media_common Mathematics Likelihood Functions Models Statistical General Medicine Survival Analysis Nonlinear system Transformation (function) Distribution (mathematics) Likelihood-ratio test Statistics Probability and Uncertainty |
| Zdroj: | Biometrical Journal. 62:1208-1222 |
| ISSN: | 1521-4036 0323-3847 |
| Popis: | In this paper, we propose a generalization of the mixture (binary) cure rate model, motivated by the existence of a zero-modified (inflation or deflation) distribution, on the initial number of causes, under a competing cause scenario. This non-linear transformation cure rate model is in the same form of models studied in the past; however, following our approach, we are able to give a realistic interpretation to a specific class of proper transformation functions, for the cure rate modeling. The estimation of the parameters is then carried out using the maximum likelihood method along with a profile approach. A simulation study examines the accuracy of the proposed estimation method and the model discrimination based on the likelihood ratio test. For illustrative purposes, analysis of two real life data-sets, one on recidivism and another on cutaneous melanoma, is also carried out. |
| Databáze: | OpenAIRE |
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