A closed-form expression for the exact symbol error rate (SER) of space-time block coding (STBC) is derived by means of the moment generating function (MGF) with the equivalent single-input single-output (SISO) model.

A class of strong deviation theorems and moment generating function method;

Workflow nets performance analysis approach based on moment generating function

Obtain the asymptotic formula for the moment generating function of the ratio of the occupation time and ε~(2N) as the radius ε tends to zero.

A non-Gaussian approximation method,based on the moment generation function of the decision statistic and saddle-point approximation,is introduced to evaluate the statistic characteristics of multi-access interference,shot noise and thermal noise and crosscorrelation.

A Gaussian approximation method,based on the moment generation function (MGF) of the noises,is introduced to evaluate the bit error rate by taking the polarization into account.

Closed-form expressions for the probability density function of macroscopic maximal ratio combining output SNR were derived by means of moment generating function and Gauss-Hermite quadrature, and outage analysis was considered for different parameter schemes over Nakagami-Lognormal channels.

Then,using Taylor expansion of the semigroup,Holder s inequality and estimations of moment-generating functions of some suitable random variables,some briefly probabilistic approximations and estimations of convergent rates are obtained for C-semigroups.