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To arrive at the lognormal distribution we look for general distribution function P ( L ) that would maximize the Shannon information entropy − ∑ L P ( L ) log ( P ( L ) ), with the constraint of the perceived cost function c ( L ).
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For the batch sizes described by general distribution functions, solutions to the integral equations are obtained in the form of approximating functions generated by stochastic simulation.
In the case of strong SQ with account of general size distribution function P u), we obtain for the absorption coefficient corresponding formula: (30).
where and In the case of weak SQ with account of general size distribution function P u), we obtain for the absorption coefficient corresponding formula: (31).
In a two-sided market environment, Bardey and Rochet [12] consider a general risk distribution function in order to disentangle more deeply the risk segmentation and the adverse selection effects.
This finding highlights the challenge in distinguishing between the second and third shells from the general pair distribution function.
The formulas for the split flux vectors are derived based on the general three-dimensional distribution function in velocity space and formulas for lower dimensions can be directly deduced.
[Kimura (1981]) assumed general service time distribution function and used a diffusion approximation technique to determine the optimal policy.
In general, a probability distribution function and expected value of a random variable on a time scale can be defined as follows: By using an exponential function on time scales, we can define an exponential probability density function in a general case and we can define a moment generating function by using Laplace transformations on time scales.
The probability of occurrence of extremely large energetic particle (SEP) events is determined by both the general properties of the distribution function, and the character of this function in the region of large particle fluxes (fluences and peak fluxes).
In general, any inverse cumulative distribution function will be an appropriate link function in a beta regression framework as they act to map the interval (0,1) to the real line.
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CEO of Professional Science Editing for Scientists @ prosciediting.com