Parameter Estimation For The Multivariable Logistic Distribution

In this paper,I research on the problem about the nature and parameterestimation for the multivariable logistic distribution. It contains three parts.In the first part,it introduces the research backgroud of the Logistic dis-tribution and it makes a simple introduction of the definition and nature ofthe distribution and so on.Then it introduces the vertical density representa-tion method as well as the application of it. This method is the foundation ofconstructing the Logistic distribution.In the second part,it discusses the question of constructing the multi-variable logistic distribution. First it constructed the multivariable logisticdistribution by using vertical density expression. The multivariable logisticdistribution which was constructed by this way has many good natures suchas that any marginal distribution is also the logistic distribution. And then weresearched on the property of this logistic distribution,especially on emphasison two-dimensional logistic distribution.In the third part,it discusses the question about the parameter estimationof multivariable logistic distribution.In the part of estimation of parameters,there are many standards such as being agonic, compatibility and validity andso on.In this part,it mainly reseach on if the parameter estimation of multi-variable logistic distribution has these good properties.