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The analysis of the distribution of the stock-returns plays an important role in financial theory since a distributional assumption is required for mean variance portfolio theory, theoretical models of capital asset prices, determining the price of derivative products, efficient estimation by maximum likelihood procedure and establishing forecasting confidence intervals.
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Second, the estimates of the model's parameters are produced by maximum likelihood procedures; hence, the classification and group descriptions generated by the model can be statistically evaluated.
The parameters of the Laplace-distributions were interpreted as expected absolute difference in stable and instable locations, and were estimated by maximum likelihood procedures.
All statistical tests were two-sided with a specified type I error of 0.05, and 95% CIs were estimated by maximum likelihood procedures.
Evolution of habitat and paleodispersal events was inferred on a phylogenetic tree of the Proteaceae by a maximum likelihood procedure.
To check this latter proposal, we compared the observed relative frequencies distribution Hrec 0,1,2,3,h) to those deduced from a Poisson distribution with an intensity estimated from the observed data by a maximum likelihood procedure (see Materials and Methods for details).
Mathematical models that describe the distribution of pathological variables in malignant tumors, detected after various histories of screening, are derived and parameters for detection probabilities and the growth kinetics are then estimated by the maximum likelihood procedure.
Using only local samples of each of the population groups to estimate the admixture, by the maximum likelihood procedure, the autosomal data with the most stringent thresholds (MLQ>120, distance <83 km) suggested that most of the contribution was from the Eastern population (0.945 East (0.895 0.995), Table 4).
We applied confirmatory factor analyses (CFA) by using the maximum likelihood procedure with robust standard errors using Mplus (version 7.11; cf. Muthén and Muthén 1998 2012).
The experimental procedure was started by estimating the resting motor threshold (RMT) of the first dorsal interosseus muscle (FDI) by using the maximum likelihood procedure with 15 stimuli [16].
The MRCA, a hypothetical viral sequence that represents the most recent viral variant from which a subject's viral quasispecies are descended, was reconstructed in DIVEIN [23] by the joint maximum likelihood procedure [25].
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