Tobit模型与税收稽查

一、Ｔｏｂｉｔ模型　　Ｔｏｂｉｔ模型是经济学家、1981年诺贝尔经济学奖获得者Ｊ·托宾(Ｊａｍｅｓ.Ｔｏｂｉｎ)1958年在研究耐用消费品需求时首先提出来的一个经济计量学模型。其基本结构如下:设某一耐用消费品支出为ｙｉ(被解释变量),解释变量为Ｘｉ,则耐用消费品支出ｙｉ要么大于ｙ0(ｙ0表示该耐用消费品的最低支出水平),要么等于零。因此,在线性模型假设下,耐用消费品支出ｙｉ和解释变量Ｘｉ之间的关系为:ｙｉ=βＴＸｉ ｅｉ若βＴＸｉ ｅｉ>ｙ00其他(1)ｅｉ～Ｎ(0,σ2),ｉ=1,2,…,ｎ其中,Ｘｉ是(ｋ 1)维的解释变量向量,β是(ｋ 1)维…

Tobit Model and Tax Audit

The cases-choice for tax audit contains two main aspects: the first is to distinguish whether the taxpayer is tax evasion, the second is to estimate the quantum of tax evasion. The paper systematically have studied the estimating of the quantum of tax evasion and made progresses and results. The author first applied the Tobit model to estimate the quantum of tax evasion and fairly solved the problems in the estimations of the quantum of tax evasion.