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The mixed distribution is shown in black.

A mixed distribution is suggested, which combines bulk distribution estimated from moderate wind speed data and tail distribution estimated by fitting the excesses above a given threshold with generalized Pareto and three parameters Weibull distributions.

The simple but important property of the mixed distribution is its linearity, which allows the use of the previous results obtained by the Gaussian hypothesis, avoiding the need of employing non-Gaussian continuous distributions or other time-consuming techniques such as local Monte Carlo simulations.

For the two-part joint approach, a binomial/Poisson mixed distribution was used.

The ROC curve of perfectly mixed distributions is (approximately) the diagonal line (no-discrimination line), and the ROC curve of perfectly separated distributions is a right angle going from (0,0) either through (1,0) or through (0,1) to (1,1).

Some mixed distributions were developed based on the assumption that headway consists of two components; following and free.

A mixed prior distribution is formed based on the prior PDFs and the corresponding credibility.

Notable is the result that the proposed mixed-type distribution is invariant across a range of time scales.

Cai and Kou [32] pointed out that the mixed-exponential distribution is a very important distribution, which can approximate any distribution in the sense of weak convergence (see Botta and Harris [33]).

The upper curve, which is characteristic for the mixed period of distribution, is described using the integer values of the coefficients A and B i, which are selected from available combinations, summarized in Table 6.

Obtained results show that expressions derived on the basis of applying a mixed multiplicative distribution are satisfactory.