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Bernoulli random variables (i.e., Xn takes values {0, 1} with probability 12 each), let X = ∑∞n= 0ρnXn and let μ be the corresponding probability measure.
Let g v) denote the probability density function of the velocity of vehicle v, and G v) be the corresponding probability distribution function: g v = 1 σ 2 π e − v − μ 2 2 σ 2 (10) G v ≤ V 0 = 1 σ 2 π ∫ 0 V 0 e − v − μ 2 2 σ 2 dv, (11).
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For oligomer compositions, f or g is the probability of occurrence of a 5-mer within introns, and F or G is the corresponding probability observed in the whole genomic sequence.
Since gamete modes 7 and 9 cannot be distinguished by their genotypes, nor can modes 8 and 10 (see, e.g., S. S. Wu et al. 2001), the respective counts were added, as were the corresponding probability functions.
The birth weight density submodel (equation 2) determines (4) and, for i = p and s, P (x ; a i, b i, c i ) is the corresponding probability of death for subpopulation i (standard logistic regression).
The transition probability from (S(a l ), S(b l )) to (S(a l +1), S(b l +1)) is the corresponding probability in Table 1 conditioned on P(S(a l )= S(b l )) or P(S(a l )≠ S(b l )).
Let us define the full probability generating function (PGF): Let ϕ be the corresponding partial probability generating functions, which starts with 1 cell in compartment I α, β, d )at time s and with no transitions into that cell from cells I(α', β', d ) with α' < α or β' < β.
Let L1,…, Ln denote the likelihood functions for alternative models, and let w1,…, wn be the corresponding judgmental probabilities, also called weights of evidence, that each model is correct.
Once the measurement data was received, the corresponding probability was calculated based on each hypothesis.
After division, the resulting F statistic is 176.510, and the corresponding probability P-value is approximately 0. Therefore, the null hypothesis is rejected if α is 0.05.
The effects of sunshape and surface slope error have been studied and the corresponding probability models are introduced in this paper.
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