In this method, both sides of the equation of the cumulative

probability density function are obtained with Eq.

Where m* is the band-edge effective mass, k is Boltzmann constant, T is the lattice absolute temperature, h is Plank constant divided by 2, Tu* Tu gives the tunneling

probability density of the outgoing electron, F is Fermi energy level, l is energy of the electron associated with longitudinal wave vector of the electron in the conduction band, V is the applied voltage.

This work derives general formulas to describe the mean velocity and SSC distributions of turbulent shear flow to fit the whole cross section from the bottom boundary to the upper boundary, using a

probability density function method.

The method assumes that the errors follow a Gaussian

probability density function (PDF) with zero mean value and some known correlation matrix.

Different properties were used to find out the cumulative distribution function,

probability density function (PDF), hazard function, Reverse Hazard and survival functions.

Probability Density Function (PDF) The Weibull's form of PDF is [4]

In this paper, the QMC method is applied to the statistical analysis of the crosstalk of transmission lines, achieving the prediction of crosstalk variation range and its

probability density distribution function.

0], the conditional

probability density function (PDF) of the energy state x at time t can be represented by

ext(i)] to determine the

probability density function of values [A.

Following Rice's [6] description of the

probability density function for load peaks, Bendat [7] showed how to calculate the fatigue damage for a narrowband random loading input.

From the families of multidimensional probability distributions described in literature [2], [3] we chose the Gaussian, Dirichlet and gamma distributions for analysis because their

probability density functions are easy to use in analytical expressions.

The composition transported

probability density function (TPDF) method [4] is employed for accounting turbulence-chemistry interactions due to its several advantages over other TCI approaches [11, 30, 32].