where [X.sub.ui] is a vector of observable variables of the birth probability function
; [B.sup.u], [B.sup.h], and [Mathematical Expression Omitted] are the parameters to be estimated; [[Epsilon].sub.ui] and [[Epsilon].sub.hi] are the two stochastic terms in each equation.
The central notions on which we based our account are that of a body of background information which the individual's probability function
reflects at any given time, and an addition to that information which the rule of conditionalization transforms into an output consisting of an updated probability function
The assumed probability functions
, p(q|[[Theta]), for the three types of banks are as follows: q [element of] [-1,0] q [element of] (0,1] p(q|[[Theta].sub.1]) 0.6q + 0.6 0.35 p(q|[[Theta].sub.2]) 0.3q + 0.3 0.10 p(q|[[Theta].sub.3]) 0.2q + 0.2 0.10 q [element of] (1,2] q [element of] (2,3] p(q|[[Theta].sub.1]) 0.20 0.15 p(q|[[Theta].sub.2]) 0.45 0.30 p(q|[[Theta].sub.3]) 0.20 0.60
It is shown here how this result depends directly on the nature of the probability functions
at the optimum.
Each probability represented in the first term in brackets is derived using coefficients of the white probability functions
. The second term in brackets represents the part of the overall difference in occupations that is due to differences in coefficients of the probability functions
Logit estimates for the probability functions
Prob([A.sub.j] = J) and Prob([D.sub.j] = J), calculated for the pooled sample and separately by race, are available from the author on request.(8)
The same graph shows the correlation of ROSI with the weighting factor [W.sub.A], which varies depending on the defined probability function
Taking measurement up to the ratio level would thus seem desirable for further characterization of the value and probability functions
For each measurement C=10 and the probability function
parameters are: W= 0, Tm= 0.1 (sec) and M=0.85.
For all ([a.sub.i], [a.sub.j]) [member of] [0,1] x [0,1], the probability functions
[p.sub.i]([a.sub.i], [a.sub.j]), i, j = A, B (j [not equal to] i), satisfy:
In order to be coherent with the axioms of the probability calculus the personal probability functions
of ideally rational Bayesian agents must understand completely the logical structure of the propositions over which they are defined.
In addition to estimating the transition probability functions
with service hours included without interactions, we also estimate them with a series of interactions between service levels and disability measures.