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Because we just need to figure out with the algebra how are the beta parameters changed by multiplying the binomial times it.
The backpropagation algorithm was used for the learning process of antecedent fuzzy beta parameters and the consequent part.
The transposition of the beta parameters of the Haldane and the uniform priors in fixed binomial experiments into the beta-J distribution yields bias-corrected versions of these priors in multistage designs.
Beta parameters: X = 2, Y = 2, minimum = 0, maximum = 1.
Figure 2 shows the variation of the maximum reductions in loss-cost obtained under consideration of different beta parameters and shift ranges.
Open image in new window Fig. 2 Variation of maximum reductions in loss-cost for different beta parameters and shift ranges.
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Fig. 21 (beta) parameter.
The lowest (beta) parameter resulted in a less concentrated area of change, with smaller changes spread over a greater area.
PET images were reconstructed with 3-dimensional maximum a posteriori (OSEM3D/MAP) reconstruction algorithm with 18 iterations (preceded by two OSEM3D iterations) with the beta parameter set to 0.2.
extrapolation of the death rates using the Gompertz model, H.-C. HoriucH.-C.ale formula, Horiuchi-Coaleriuchi-Coale formula with the Beta parameter re-estimated on the HMD data, Mitra Mitra formula, Mitra (regr).
The 3DOSEM/MAP algorithm was also used with 2 iterations (12 subsets) for 3DOSEM followed by 18 iterations of MAP with a request resolution of 1.635 mm (equivalent to a beta parameter of 0.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com