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Estimation of truncated regression models is usually done via parametric maximum likelihood method. More recently, various semi-parametric and non-parametric generalisation were proposed in the literature, e.g., based on the local least squares approach or the local maximum likelihood approach, which
35:. That means observations with values in the dependent variable below or above certain thresholds are systematically excluded from the sample. Therefore, whole observations are missing, so that neither the dependent nor the independent variable is known. This is in contrast to
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Heckman, James J. (1976). "The Common
Structure of Statistical Models of Truncation, Sample Selection, and Limited Dependent Variables and a Simple Estimator for Such Models".
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where only the value of the dependent variable is clustered at a lower threshold, an upper threshold, or both, while the value for
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noted the similarity between truncated and otherwise non-randomly selected samples, and developed the
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Amemiya, T. (1973). "Regression
Analysis When the Dependent Variable is Truncated Normal".
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Breen, Richard (1996). "Sample-Selection Models and the
Truncated Regression Model".
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Unifying
Political Methodology : the Likehood Theory of Statistical Inference
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Sample truncation is a pervasive issue in quantitative social sciences when using
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Heckman, James J. (1979). "Sample
Selection Bias as a Specification Error".
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Regression Models : Censored, Samples
Selected, or Truncated Data
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Regression Models : Censored, Samples
Selected, or Truncated Data
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Limited-Dependent and
Qualitative Variables in Econometrics
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382:(1983). "Censored and Truncated Regression Models".
494:Mathematical and quantitative methods (economics)
390:. New York: Cambridge University Press. pp.
227:"Nonparametric Censored and Truncated Regression"
364:. Cambridge University Press. pp. 208β230.
336:Semiparametric Estimation of Selectivity Models
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267:Park, B. U.; Simar, L.; Zelenyuk, V. (2008).
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171:Annals of Economic and Social Measurement
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358:"Models with Nonrandom Selection"
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17:Truncated regression models
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66:are kernel based methods.
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31:for certain ranges of the
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334:FrΓΆlich, Markus (2002).
277:Journal of Econometrics
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105:Breen, Richard (1996).
428:-related article is a
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