Fiducial Interval Estimation of Scale Parameter of Lognormal Population Distribution

Using a new method to solve fiducial interval estimation of parameter, the method of fiducial inference can obtain the fiducial interval estimation of scale parameter of lognormal population distribution. the method intuitive novelty special. But fiducial distribution maybe different if use different inference method while looking for fiducial distribution, this cause the interval of the parameter that we achieved not unique. We can receive very similar interval estimation by use of fiducial inference and Neyman's method, sometimes even exactly the same, but it is completely different in explanation; while sometimes the result we received by use of fiducial inference is better than use of Neyman's theory, even can solve the problem that the theory of Neyman can not solve. All these fully shown the special and novelty of the method.