1974
DOI: 10.2307/1914214
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Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal

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Cited by 391 publications
(207 citation statements)
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“…However, the addition of normally distributed error terms to the share equations in no way restricts the shares to be positive and less than 1. The contribution of Wales and Woodland was to devise a stochastic formulation, based on the earlier work of Tobin (1958) and Amemiya (1974), that (a) respects the unit simplex range constraint for the shares, (b) accommodates the restriction that the shares sum to one, and (c) allows corner solutions in which one or more alternatives are not consumed. They achieve this by assuming that the observed shares for the (K-1) of the K alternatives follow a truncated multivariate normal distribution (note that since the shares across alternatives have to sum to from the "horizontal" variety seeking model considered in this paper, where the choice is considered to be among inherently imperfect substitutes at the choice occasion (see Kim et al, 2002 andBhat, 2005).…”
Section: Introductionmentioning
confidence: 99%
“…However, the addition of normally distributed error terms to the share equations in no way restricts the shares to be positive and less than 1. The contribution of Wales and Woodland was to devise a stochastic formulation, based on the earlier work of Tobin (1958) and Amemiya (1974), that (a) respects the unit simplex range constraint for the shares, (b) accommodates the restriction that the shares sum to one, and (c) allows corner solutions in which one or more alternatives are not consumed. They achieve this by assuming that the observed shares for the (K-1) of the K alternatives follow a truncated multivariate normal distribution (note that since the shares across alternatives have to sum to from the "horizontal" variety seeking model considered in this paper, where the choice is considered to be among inherently imperfect substitutes at the choice occasion (see Kim et al, 2002 andBhat, 2005).…”
Section: Introductionmentioning
confidence: 99%
“…Using the results of Amemiya (1974Amemiya ( , p. 1002 and Tallis (1961, p.225) the conditional exception of the final firms size conditional on survival can be written as…”
mentioning
confidence: 99%
“…Uno de los primeros en analizar los modelos de sistema de ecuaciones con censura en la variable dependiente es Amemiya (1974) y lo hace aplicando los fundamentos desarrollados por Tobin (1958) para un modelo de una ecuación con censura. Entre los trabajos que aplican este enfoque para analizar la demanda residencial en alimentos están Dong et al (2004) y Yen et al (2004).…”
Section: La Censura En Los Sistemas De Demandaunclassified