By Akaike H.

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19 See Brillouin (1956) and Jaynes (1957). 20 See Jaynes (1957, p 620). 21 In 1968, Jaynes (1968) acknowledged the earlier suggestions of Gibbs (1902). 22 See Kullback (1959). 23 Notably Renyi (1966) and Theil (1967). 24 See Hobson (1969), and Shannon and Weaver (1949). 25 For example, Hobson (1971), Charnes, Raike and Betti nger (1972), March and Batty (1975), Snickars and Weibull (1977), and Webber (1979) have all suggested that Ik [P;QJ be used to define our uncertainty about the state of the system.

As {Pij} is also unknown, however, a solution to this system for {q .. } sti 11 requires some estimates of 1J 56 {Pij}, Theil persisted with this two-stage approach when he formulated a gravity model for interregional commodity flows. 48) "rs and xi ' ~* A*S Xi ,Xi and Xi are known variables in some base year. rs 1 S . 50) =,x.. 51 ) His final solution was to replace the normalized estimate of x~s by x~s , obtained by minimizing the quantity rs rs I = 1: 1: x. 51) as constraints. 45 Wilson recognized the similarities between Theil's gravity model and a similar model proposed by Leontief and strout.

45) I q. = v. 46) I q .. j 1J 1 and i 1J J plus the usual non-negativity conditions. As {Pij} is also unknown, however, a solution to this system for {q .. } sti 11 requires some estimates of 1J 56 {Pij}, Theil persisted with this two-stage approach when he formulated a gravity model for interregional commodity flows. 48) "rs and xi ' ~* A*S Xi ,Xi and Xi are known variables in some base year. rs 1 S . 50) =,x.. 51 ) His final solution was to replace the normalized estimate of x~s by x~s , obtained by minimizing the quantity rs rs I = 1: 1: x.