In the case of clutch pack modeling, f ([x.sub.1] | [y.sub.1]) can be considered as the conditional probability of variable [x.sub.1] within the range [0, [y.sub.1]], given that [y.sub.1] takes a particular value according to its own marginal probability density function
f ([y.sub.1]), which is defined within the entire sample space of [0, [y.sub.1+2+3]].
The target state is denoted as [y.sub.k-1,T], the probability density function
of I([y.sub.k-1,T]) is denoted as [mathematical expression not reproducible], and the corresponding distribution function is [mathematical expression not reproducible].
Caption: Figure 2: Probability density function
of base asphalt production energy consumption.
The Poisson-Gamma distribution has a complicated probability density function
whose parameters are difficult to estimate.
in which [epsilon] is the particle diffusion coefficient, set as an assumption of the exponential probability density function
The following graphical representations for Probability Density Function
, Cumulative Distribution Function, Survival Function, Hazard Rate Function and Reverse Hazard Rate Function of DWD given below, with different shape and scale parameters.
As mentioned, we should average expression for conditional SEP over the probability density function
(PDF) of the fading channel amplitude for applied modulation format.
Figure 1 show the graph of the gamma[(1 - Exp)/Exp] distribution probability density functions
and cumulative distribution, for some values of the parameters.
Statically analyses have been performed using probability density function
of lognormal distribution which is given by
The simple continuous uniform or rectangular distribution Uniform (0, 1) with probability density function
(PDF) f(x) = 1 for 0 < x < 1 and f(x) = 0 otherwise is very important.
The probability density function
Given a set of observational data x and a probability density function
(PDF) f the likelihood function is