Statistical inference for poverty measures with relative poverty lines

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The Foster–Greer–Thorbecke (FGT) poverty measures: 25 years later (2010, background): “Zheng [141] discusses the asymptotic properties of measures of poverty when the poverty line is endogenous.”
Taylor linearization sampling errors and design effects for poverty measures and other complex statistics (2011, methodology): “The linearization approach has been further developed and applied extensively in recent years; see for instance, the work of Binder and colleagues 2–4 , Kovacevic and Yung 26 , Preston 29 , Deville 9 , Zheng 52 , Demnati and Rao 8 .”
Variance estimation of the Gini index: revisiting a result several times published (2013, background): “Instead Cowell (1989), Zheng (2001) or Bishop et al. (1997) and an earlier draft of Barrett and Donald (2009) were cited.”
Variance estimation for a low income proportion (2003, methodology): “If p̂ in equation (15) is defined with θ replaced by θ̂ = αN̂−1w Σk∈s wkyk, then, following Zheng (2001), the pseudovariable becomes (see Zheng (2001), page 343, and Deville (1999), page 197) zk = 1 N [h.yk, θ/ − p + .αyk − θ/{a + h.θ, θ/ f.θ/}] and the linearization variance estimator may be…”
The Foster-Greer-Thorbecke (FGT) Poverty Measures: Twenty-Five Years Later (2010, background): “Zheng (2001) discusses the asymptotic properties of measures of poverty when the poverty line is endogenous.”