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In order to assess the importance of short or long term shocks we weighted the variance of the cyclical component ((sigma_{epsilon}^{2})) given the probabilities, from which we obtain that it represents 93%% of the variance in output.
This was done 1,000 times to create distributions for the estimated probabilities from which 95% confidence intervals were obtained.
This gives 182 predicted probabilities from which the arithmetic mean was calculated, giving a value of 0.04.
Statistical analysis of heritability and QTL mapping used the HAPPY R package (Mott et al., 2000) to compute phased haplotype probabilities, from which kinship matrices and iQTLs were computed and analyzed.
To give an impression of the absolute probabilities from which the relative odds ratios in Tables 3 and 4 are based, Table 5 shows the raw percentages of subjects who remain "at risk" throughout the measurement period and the percentage of subjects who develop into "risk".
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Hence we use observed losses counts to give a confidence interval for each phylum loss probability, from which we deduced a confidence interval for the unknown probability p0.
The function $P_{\theta}(R_{\hat{\theta}})$ of the parameter $\theta$ is thus a proper probability function, from which a credal interval can be constructed.
The effectiveness of statistical testing, a probabilistic structural testing strategy, depends on the characteristics of the probability distribution from which test inputs are sampled.
The statistics of these times reveal whether the protein domains are independent of one another, the mechanical hierarchy in the polyprotein chain, and the functional form of the probability distribution from which they originate.
In all cases, the original probability distribution from which the actual workloads are drawn is used along with composite statistics about the application's resource demands to compute the value for used for the Lagrangian optimization.
It is just a set of probability statements from which hypotheses are generated by constantly comparing available data.
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