In a simulation study the model distribution of the conditional bias (conditioned on a simulated reality) of the variance approximations is estimated for various variograms and two sample sizes.
In mathematical terms this notation corresponds to the expectation with respect to the conditional distribution that is indicated by the subscripts, e.g. stands for the expectation of the process with respect to the conditional distribution of ξ, conditioned on a realization of s and η, whereas stands for the total expectation.
HME describes a conditional probability distribution over a vector t of target variables, conditioned on a vector x of inputs.
He added, however, that a sponsor could undercut the board's power by providing financing not conditioned on a recognition agreement.
But he omitted the question of whether increased trade should also be conditioned on a reversal of what the Bush administration has said is Iran's support of terrorism in the Middle East.
William Morrison's Jan . 9offer to buy Safeway for £2.92 billion ($4.65 billion) in stock was conditioned on a favorable ruling from Ms. Hewitt, so it lapsed with today's decision.
Many family members of victims of Sept. 11 are loath to sign up for the federal Victims Compensation Fund, which is conditioned on a promise not to sue in the future.
Mr. Helms should also end his hold on an additional $244 million in back dues, whose release he has conditioned on a reduction in America's dues for specialized U.N. agencies such as Unicef and the U.N. refugee organization.
So if the letter writer and the other roommate want to remain, and need to share the cost of the apartment with two new roommates, a renewal may be conditioned on a rent increase, together with the payment of renewal-related costs like a broker's fee, an application fee and a credit-investigation charge.
If further aid is conditioned on a similarly incoherent set of economic policies, Greece will eventually be forced into default, creating an even deeper hole in European bank balance sheets and adding to fears that other deeply indebted countries might soon default as well.
"It is the prerogative of Congress to say that our future military aid is going to be conditioned on a democratic transition," Michael H. Posner, an assistant secretary of state responsible for human rights issues, said at a previously scheduled press conference in Cairo on Thursday.
