Statistical Analysis Of Semiparametric Nonlinear Reproductive Dispersion Model

Semiparametric nonlinear reproductive dispersion model is the extention and development of nonlinear reproductive dispersion model and semiparametric model. since semiparametric nonlinear reproductive dispersion model can cover some special models,such as semiparametric nonlinear model,semiparametric generalized linear model. It has attracted the interest of many sataistical researchers. semiparametric nonlinear reproductive dispersion model. assumes the dependent variable to obey the reproductive dispersion model(RDM), the relationship between system part and the main variables is nonlinear and the time variables are unknown.semiparametric nonlinear reproductive dispersion model has the advantages of both nonlinear reproductive dispersion model and semiparametric regression model,and is easy to ues,which has led to its extensive application in sataistical analysis in Management, engineering, physics, economics and finance,medicine and medicinal research .This paper firstly studies estimation of Parametric and nonparametric of the semiparametric nonlinear reproductive dispersion model, and then we systematically study the statistical diagnostics of the semiparametric nonlinear reproductive dispersion model, finally,the numerical example shows that our method is available.case-deletion persion model is a method of widely used analysis ,which deletes one or more data sets one time to study its parameter estimation and fitting of model .It has proved that the case-deletion persion model is one of the most practical methods for diagnosis which many researchers attach great importance to it and the research in statistical applications has the rapid development especially in recent years.This introductory chapter of this paper briefly describes Semiparametric nonlinear reproductive dispersion model and case-deletion persion model,and then conducts a brief analysis of the contents and results. The second chapter discusses semiparametric nonlinear reproductive dispersion model , meanwhile ,semiparametric nonlinear reproductive dispersion model is used to calculate the ML estimation.The third chapter uses case-deletion persion model to statistically diagnose the semiparametric nonlinear reproductive dispersion model,the results can be concluded in the following aspects:firstly,semiparametric nonlinear reproductive dispersion model is studies by case-deletion persion model,the equivalency of case-deletion persion model and mean-shift outlier model is investigated;and several infuluence diagnostic statistics,such as generalized Cook distance ,likelihood distance ,AP statistic,W-K statistic,residuals,generalized leverage,deviance and Score test statistic and so on,are presented.secondly, through the discussion of the survival time of patients with stomach cancer,the example use Semiparametric Nonlinear reproductive dispersion model to statistically diagnose, Finally, we get the conclusions.The innovation of this paper: the general study of Semiparametric Nonlinear reproductive dispersion model in theory are few in the past few literatures at home and abroad. In this paper, we use case-deletion persion model to statistically diagnose Semiparametric Nonlinear reproductive dispersion model and draw the conclusions , which proves feasible and are of great value in theory and applications.