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-Containing right censored data 's random effects model 's statistical analysis of

Author: JinJingLiang
Tutor: ZongXuPing
School: Yangzhou University
Course: Applied Mathematics
Keywords: AND CENSORED Random effects Parameter estimation Statistical Diagnostics
CLC: O213
Type: Master's thesis
Year: 2007
Downloads: 128
Quote: 0
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Abstract


In many disciplines fields, such as medicine, biology, insurance Actuarial Science, reliability engineering, public health science, economics as well as of population statistics and other fields, Du exist forward to right a certain given event occurred at a time conduct estimation and foreseen problem. study time the event occurred regularity problem is the survival analyze problems, kind of problem's to solve are usually using a statistically the theory and methods. survival analysis For the product life's assessment, people and bio-life expectancy of research, surgery posterity the life of the of the prediction and so on Du is very important, and thus survival analysis the theory and methods in the engineering on the as well as medicine, biology on the have a wide range of applications, increasing attention has been's attention. the same time, the system analysis theory are also constantly develop and perfect. in the system analysis process, establishment of mathematical models is very important research topic. such as the steelworks's engineers have hope to have a steelmaking process the mathematical model of, in order to achieve computer automatic control; meteorological research workers need According to barometric pressure, rainfall, wind speed mathematical models to predict the weather ; engaged in urban planning work experts have need to establish a including population, transportation, energy, pollution large-scale systems the mathematical model of, applicable for leaders to make a urban development planning decision-making provide a scientific basis. in complex systems, has the lot of uncertainty the factors that , the establishment of mathematical model O'clock frequently need to use probability statistic model. thereby statistical inference method becomes systems analysis in the an extremely important method of analysis. Usually people habits of Applied Regression Analysis's means to deal with such problems. regression analysis of the theory and method of developing very very fast , it not only to become statistically an important branch of, moreover by people widely ground used in various fields. With the regression analysis theory the continuous development of, random effects model has been become the currently an important research topic. statistical diagnosis is the the last century, seven decade the mid- before developing up's an statistical new branch. it in order to a strong application background, novel's statistical thinking, extensive research contents of the and rich the practical results of in the vast statistical workers to front of the to show out the a theory and application of combining brand-new fields. Parameters regression models's diagnosis includes the following aspects the contents of the: residuals analysis, based on data points the deleted overall situation impact analysis, data transform, partial impact analysis, etc., and these diagnostic methods have been towards a mature. the current development trend is to an urgent need to propose new rows of the effective diagnostic method. This article discusses the containing Right Censored Data's nonlinear stochastic effects model, and the-containing right censored data's linear stochastic effects model conducted a research. focus of discuss the statistical diagnostic techniques the application of. second chapter pairs of has the right censored the data for normality of nonlinear random effect model, using Laplace expansion method, is given this model, the a fixed Effect Parameters in estimation as well as Gauss-Newton iterative algorithm. These results yes Robinson (1991), Lee and Nelder (1996) and so on person work's to further promotion and development of. third chapter system research a-containing Right Censored Data's nonlinear stochastic effects model's statistical diagnosis and impact analysis. pairs of model carry on diagnostic analysis, got abnormal points inspection likelihood ratio test statistic volume, residuals, Cook distance, and Likelihood distance, etc. diagnostic statistics amount of succinct calculation formula. fourth chapter system research a having a right censored data's linear stochastic effects model, got a this model fixed effect parameter, random Effect Parameters in estimates of, then conducted a impact analysis. Finally, using examples verify the of the the above-mentioned feasibility of the method.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Application of statistical mathematics
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