According to the hypothesis of parameters in random effect model with equilibrium design and one-way classification H0:μ=μ0,σ2α=σ2α0,σ2=σ20H1:μ≠μ0,or σ2α≠σ2α0 or σ2≠σ20,a statistical estimator to test H0 is presented by using maximum likelihood ratio method,and then the asymptotic distribution of test statistics and its rule are given.

And then, the transformation parameter is chosen by the maximum likelihood method.

Based on a maximum likelihood method and a second moment approximation, a new method for fatigue reliability analysis is presented.

Genetic analysis for restoring genes of wild-abortive type Indica hybrid rice by maximum likelihood method;

The maximum likelihood function of the fatigue life was proposed based on the maximum likelihood principle, and it was born out that the maximum likelihood method could be used for the fatigue analysis.

This algorithm combines the global search ability of genetic algorithm and local search ability of maximum likelihood method,which makes the hybrid genetic algorithm unaffected by the initial value assignment of maximum likelihood method,and solves the problem of the low convergence rate and low convergence precision of genetic algorithm.

The algorithm first builds the set of candidate targets using the measurements from multiple sensors in multiple sampling periods and estimates the initial states of candidate targets using the maximum likelihood method.

In this paper,a novel robust BP neural network based on the maximum likelihood method is presented.

The maximum likelihood was introduced into the traditional BP algorithm for the sake of estimating the noise distribution during the network approaching of the training sample.