In this paper, we construct a point estimator when assuming unequal and unknown variances by using the empirical Bayes approach in the classical normal mean problem. The proposed estimator shrinks both means and variances, and is thus called the double shrinkage estimator. Extensive numerical studies indicate that the double shrinkage estimator has lower Bayes risk than the estimator which shri...

The value of a statistical life (VSL) literature primarily utilizes cross-sectional analyses that are susceptible to bias from unobserved time-invariant factors. Further, many occupational death data have considerable non-classical measurement error. This paper addresses these two shortcomings by using truck driver panel data from 1979 to 2002 to bound VSL estimates. Measurement error will atte...

This paper develops the links between overidentification tests, underidentification score tests and Cragg Donald (1993, 1997) Kleibergen Paap (2006) rank in linear instrumental variable (IV) models. For structural model y=Xβ+u, with endogenous explanatory variables partitioned as X=x1X2, this general framework shows that standard are for an auxiliary model, x1=X2δ+ε, estimated by IV estimation ...

Bifurcating Markov chains are indexed by a full binary tree representing the evolution of trait along population where each individual has two children. Motivated functional estimation density invariant probability measure which appears as asymptotic distribution trait, we prove consistency and Gaussian fluctuations for kernel estimator this based on late generations. In setting, it is interest...