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Titlebook: Bayesian Full Information Analysis of Simultaneous Equation Models Using Integration by Monte Carlo; Luc Bauwens Book 1984 Springer-Verlag

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Introduction,In their review of the “Bayesian analysis of simultaneous equation systems”, Drèze and Richard (1983) — hereafter DR — express the following viewpoint about the present state of development of the Bayesian full information analysis of such systems:
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Selection of Importance Functions,As indicated at the end of section II.5, the choice of the functional form and of the parameters of an importance function f(θ) for a density p(θ) should be guided by the requirement that f be a good approximation of p. The following criteria are in our opinion necessary but by no means sufficient conditions to attain this goal.
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Report and Discussion of Experiments,We have used the importance functions proposed in section III.2 with 5 models covering a variety of situations, as summarized in the following table:
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Extensions,We have considered the case of the (truncated) extended natural-conjugate prior. Its drawbacks are well known — see DR and Richard (1973). In particular, one must elicit an informative prior on Σ, a difficult task; in addition, the prior information on Σ has a strong influence on the results on δ, and especially on β.
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Spoken Language Component of the MASK Kiosk,ions and affect the exponential argument of (1.7) whose dependence on 6 is made clear. The first one is named: AI(Σ) (for analytical integration of Σ), and the second one: AI(γ) (for analytical integration of γ, the subvector of δ regrouping the coefficients of the predetermined variables in the equations (1.3)).
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Book 1984 about the present state of development of the Bayesian full information analysis of such sys­ tems i) the method allows "a flexible specification of the prior density, including well defined noninformative prior measures"; ii) it yields "exact finite sample posterior and predictive densities". Howe
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0075-8442 viewpoint about the present state of development of the Bayesian full information analysis of such sys­ tems i) the method allows "a flexible specification of the prior density, including well defined noninformative prior measures"; ii) it yields "exact finite sample posterior and predictive densit
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