on construction confidence interval for linear combination means of several heterogeneous log-normal distributions

We consider the problem of constructing confidence interval for linear combination of the means of several log-normal distributions. we apply the generalized confidence interval (gci) approach and the method of variance estimate recovery (mover) to construct confidence intervals for the linear combination of log-normal means. we then compare the performances of the proposed confidence intervals via a simulation study and a real data example. simulation results show that our proposed mover and gci confidence intervals can be recommended generally for different sample sizes and different number of groups.