发展经济学 Development Economics: Understanding Poverty ECON20332T

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这是一份manchester曼切斯特大学ECON20332T作业代写的成功案例

发展经济学 Development Economics: Understanding Poverty ECON20332T

$$
y_{0 i}=x_{0 i}^{\prime} \beta_{0}+u_{0 i}, \quad y_{1 i}=x_{1 i}^{\prime} \beta_{1}+u_{1 i}
$$
The dichotomous switch variable $d_{i}$ takes values 1 or 0 and satisfies
$$
d_{i}=1\left(z_{i}^{\prime} \gamma+u_{2 i}>0\right)
$$
where the “indicator function”is defined to take the value 1 when the statement in brackets is true, and 0 otherwise. The dependent variable $y_{i}$ is thus determined by
$$
y_{i}=d_{i} y_{0 r}+\left(1-d_{i}\right) y_{u i} .
$$

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ECON20332T COURSE NOTES :

$$
E\left(y_{i} \mid x_{i}, z_{i}, y_{i}>0\right)=x_{i}^{\prime} \beta+\lambda\left(z_{i}^{\prime} \gamma\right)
$$
where I have suppressed the zero suffix and where
$$
\lambda\left(z_{i}^{\prime} \gamma\right)=E\left(u_{0 i} \mid u_{2 i} \geq-z_{i}^{\prime} \gamma\right)
$$