Development of the methods of statistical analysis for spatial data of Voronoi tessellation through MCMC method

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It is known that there are many polygonal tessellation data in the field of natural sciences. But most of such data remained untouched from the point of statistical analysis. In order to break this situation, we have developed a statistical procedures using MCMC method in depth. As a result of our research, it is revealed that various types of polygonal tessellation pattern are reproducible in our statistical model and that statistical estimation of model parameters is able to execute.