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He acknowledged that the department's argument that there was "zero risk" of mad cow disease in apparently healthy cattle was merely "a working assumption -- an assumption to get the data collection started, not an estimate of the prevalence".
Could Huang et al. use the conditional independence assumption to get such a model without the derivation process of using Bayes' theorem for factorizing the spatial conditional probability distribution function over a neighbourhood?
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Even so, "You have to make some aggressive assumptions to get to a stock price north of $70".
Given that the starting dividend yield is 2%, you need to make some heroic assumptions to get to a double-digit return.Whatever the excess return from equities, it is a reward for risk.
The question one might ask is, did TPC – which is actually painstakingly and painfully nonpartisan – make questionable assumptions to get its results, so that some other set of assumptions might portray Romneynomics in a more favorable light?
"We used reasoned assumptions to get to that number, but without real financials to work from and without audited numbers," he says.
For a general situation, however, a result by Nutz (2012a) can be used under additional set-theoretical assumptions to get rid of the aggregation condition in Φ and in the statement of Theorem 2; cf. Remarks 4 and 8.
Because the P-EIM signal is not directly related to the target mass, we need to make some assumptions to get a meaningful comparison with mass-based methods.
However, fitting this model on these data allowed us, given some assumptions, to get a mathematically simple expression for the incidence.
Similarly, for the other conditions, we use assumption (A4), to get (3.14).
For the applications, the diffuse field assumption allows to get useful approximations of the Green's Function from cross-correlation of recorded motions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com