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A simplified approach to M-estimation with application to two-stage estimators
Journal of Econometrics, 1987An M-estimator \({\hat \theta}\) is one obtained by solving the system of equations \(\sum^{n}_{i=1}\Psi (z_ i;\theta)/n=0\), where \(z_ i\) are the data vectors and \(\theta\) an unknown parameter vector. The ordinary least squares estimators, instrumental variables estimators and the usual sort of maximum likelihood estimators with interior solutions
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The Bias of the Two-Stage Least Squares Estimator
Journal of the American Statistical Association, 1972Abstract This article derives the bias of the two-stage least squares estimator to the order of T-2, T being the number of observations. It is found that when the degree of overidentification in the equation concerned is unity, the 2SLS bias is zero to this order of approximation.
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Two-Stage Sequential Estimation in the Uniform Density
Journal of the American Statistical Association, 1973Abstract The main problem to be solved here may be described as follows: let X 1, X2, …, be independent random variables, each with density f 8(x) =1/θ over (0, θ) and zero elsewhere. It is desired to use a two-stage sequential procedure to estimate the unknown parameter θ by an interval of length at most d units and with confidence at least I—α, for ...
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Two stage randomized response schemes for estimating a multinomial
Communications in Statistics, 1975Warner's (1965) original randomized response technique for dichotomous data was extended by Abul-Ela, et al. (1967) to the case of a multinomial with t ≥ 3 groups, r of which are stigmatizing. A competing approach for estimating a multinomial via the randomized response technique is discussed by Warner (1971).
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two-stage least squares and the k-class estimator
1987Two-stage least squares (TSLS) is a method of estimating the parameters of a single structural equation in a system of linear simultaneous equations. The TSLS estimator was proposed by Theil (1953a, 1961) and independently by Basmann (1957). The early work on simultaneous equation estimation was carried out by a group of econometricians at the Cowles ...
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PROTHROMBIN ESTIMATION BY THE TWO-STAGE METHOD
The Lancet, 1958P. Armitage, G.I.C. Ingram
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Two-Stage Estimation of A Censored Demand System
Journal of Rural and Development, 1994Choi, Jihyeon, Choi, Jihyeon
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