模型

表达式

约束条件

1. LC (1992)

$\log it\left(q_{x,t}\right)={\alpha }_x+{\beta }_x{\kappa }_t+{\epsilon }_{x,t}$

${\displaystyle \sum {\beta }_x}=1$ ， ${\displaystyle \sum {\kappa }_t}=0$

2. RH (2006)

$\log it\left(q_{x,t}\right)={\alpha }_x+{\beta }_x^{\left(1\right)}{\kappa }_t+{\beta }_x^{\left(2\right)}{\gamma }_{t-x}+{\epsilon }_{x,t}$

${\displaystyle \sum {\beta }_x^{(1)}}=1$ ， ${\displaystyle \sum {\beta }_x^{(2)}}=1$ ， ${\displaystyle \sum {\kappa }_t}=0$ ， ${\displaystyle \sum {\gamma }_{t-x}}=0$

3. APC (2006)

$\log it\left(q_{x,t}\right)={\alpha }_x+{\kappa }_t^{}+{\gamma }_{t-x}+{\epsilon }_{x,t}$

${\displaystyle \sum {\kappa }_t}=0$ ， ${\displaystyle \sum {\gamma }_{t-x}}=0$ ， ${\displaystyle \sum \left(t-x\right){\gamma }_{t-x}}=0$

4. CBD (2006)

$\log it\left(q_{x,t}\right)={\kappa }_t^{\left(1\right)}+{\kappa }_t^{\left(2\right)}\left(x-\overline{x}\right)+{\epsilon }_{x,t}$

无

5. PLAT (2009)

$\begin{array}{l}\log it\left(q_{x,t}\right)={\alpha }_x+{\kappa }_t^{\left(1\right)}+{\kappa }_t^{\left(2\right)}\left(\overline{x}-x\right)\\ +{\kappa }_t^{\left(3\right)}{\left(\overline{x}-x\right)}^{+}+{\gamma }_{t-x}+{\epsilon }_{x,t}\end{array}$

${\displaystyle \sum {\kappa }_t^{(3)}}=0$ ， ${\displaystyle \sum {\gamma }_{t-x}}=0$ ， ${\displaystyle \sum \left(t-x\right){\gamma }_{t-x}}=0$