| NLSE | non-linear least squares estimation |
| GP | Gaussian process |
| ALS | approximated NLSE |
| ARSS | approximated residual sum of squares |
| E-data | real experimental data |
| C-data | computer data |
| B-data | both of E-data and C-data |
| MLE | maximum likelihood estimation |
| FMLE | full MLE |
| SMLE | separated MLE |
| EM | expectation and maximization |
| E-step | expectation step |
| M-step | maximization step |
| probability density function | |
| Max-min | maximization and minimization algorithm |
| KOH | Kenney-O’Hagan method |
| RMSE | root mean squared error |