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Unformatted text preview: Partial Identi&cation Lecture for Economics 245A Douglas G. Steigerwald UC Santa Barbara February 2011 Overview Imbens and Wooldridge 2007 & Identi&cation typically refers to point identi&cation & under the identifying assumptions β takes a single value & Identi&cation can also refer to set identi&cation & under the identifying assumptions β takes values within a set & this is termed partial identi&cation & For any given problem, partial identi&cation requires weaker assumptions than point identi&cation Point Identi&cation Missing Data & observed data ( S t , S t ¡ Y t ) S t binary selection indicator & parameter of interest θ = E [ Y t ] & θ = ( 1 ¢ p ) μ + p μ 1 & P ( S t = 1 ) = E [ S t ] : = p & E [ Y t j S t = 1 ] : = μ 1 & E [ Y t j S t = ] : = μ & from our data, we cannot estimate μ & point estimation requires a strong assumption & (e.g.) S t independent of Y t ) μ = μ 1 Partial Identi&cation Missing Data: Mean Estimation parameter of interest θ = ( 1 & p ) μ + p...
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This note was uploaded on 12/26/2011 for the course ECON 245a taught by Professor Staff during the Fall '08 term at UCSB.
 Fall '08
 Staff
 Economics

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