Bayesian A- and D-optimal designs for gamma regression model with inverse link function
| Autor: | Habib Jafari, Minoo Aminnejad |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Optimal design 030503 health policy & services 01 natural sciences Bayesian statistics 010104 statistics & probability 03 medical and health sciences symbols.namesake Modeling and Simulation Bayesian multivariate linear regression Statistics Bayesian experimental design symbols Bayesian hierarchical modeling 0101 mathematics 0305 other medical science Fisher information Bayesian linear regression Bayesian average Mathematics |
| Zdroj: | Communications in Statistics - Simulation and Computation. 46:8166-8189 |
| ISSN: | 1532-4141 0361-0918 |
| Popis: | Bayesian optimal designs have received increasing attention in recent years, especially in biomedical and clinical trials. Bayesian design procedures can utilize the available prior information of the unknown parameters so that a better design can be achieved. With this in mind, this article considers the Bayesian A- and D-optimal designs of the two- and three-parameter Gamma regression model. In this regard, we first obtain the Fisher information matrix of the proposed model and then calculate the Bayesian A- and D-optimal designs assuming various prior distributions such as normal, half-normal, gamma, and uniform distribution for the unknown parameters. All of the numerical calculations are handled in R software. The results of this article are useful in medical and industrial researches. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|