In the context of structural reliability, SIS can be applied to produce samples of an approximately optimal importance sampling density, which can then be used for estimating the sought probability.
Von Neumann's model of an expanding economy considered the matrix pencil A - λ B with nonnegative matrices A and B; von Neumann sought probability vectors p and q and a positive number λ that would solve the complementarity equation : pT (A - λ B) q = 0, along with two inequality systems expressing economic efficiency.
A new treatment could be a cost saving at ≤ $254 across several ranges (treatments seeking probabilities, side effect risks, cure rates) and continues to save costs up to $508 across treatment-seeking probabilities with a drug cure rate of ≥ 50%.
These results suggest that use of a new treatment could be cost saving at a price point of $254 or less across the range of treatments seeking probabilities, side effect risks, and cure rates evaluated and could continue to save costs up to a $508 price point across all treatment seeking probabilities as long as drug cure rate was ≥ 50%.
gSometimes, the training data used to build the model and the forecasting data for which projections are sought are probability samples from the same finite population.
Using the midpoint value assessed for drug cost ($168), side effect risk (10%), and cure rate (70%), the lifetime CL-related cost of an HIV-positive patient was $254, assuming a treatment-seeking probability of 70%.
Maximum entropy is a probability-based algorithm that seeks the probability distribution by maximizing the information contained in the existing measurements [52, 53].
Specifically, for a given observation record {y t }t≥1, we seek the probability measures pi_{t}(A) triangleq mathbb{P}_{t}left{ X_{t} in A | Y_{1 t}=y_{1:t} right}, quad t=0, 1, 2,... where (A in {mathcal B}({mathcal X})).
Whether to seek care the probability of seeking (modern) care versus the alternative of other care options (do nothing, traditional healers, religious healers and visiting a pharmacy/drug store) is treated as a binary outcome.
For example, the effects of a higher co-pay could be introduced to reduce the probability of seeking care, or the probability of correct diagnosis could be reduced to reflect the difficulty of diagnosis.
For persons in the prodromal or fulminant state of disease who sought care, the instantaneous probability of seeking care increased linearly over the duration of the state.
