回归模型异方差的比较分析任务书

 2022-09-16 09:52:40

1. 1. 毕业设计(论文)的内容、要求、设计方案、规划等

1.回归模型异方差研究的意义,国内外的研究现状;

2.回归模型异方差研究的主要方法,主要清楚似然比、score检验方法、修正似然比、修正score检验方法;

3.进行数据模拟和实例验证,重点是林业相关实际问题的实例;

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2. 参考文献(不低于12篇)

[1]韦博成,胡跃清. 非线性回归模型相关性和异方差性的检验[J]. 工程数学学报, 1994,(04) .
[2]韦博成. 加权非线性回归的Score检验及其局部影响分析[J]. 应用概率统计, 1995,(02) .
[3]陈平,达庆利. 我国农作物受灾及成灾面积的综合预测分析[J]. 应用概率统计, 2000,(03) .

[4]Cook R D and Weisberg S. Diagnostics for heteroscedasticity in regression .Biometrika, 1983, 70 :1-10 .
[5]Tsay R S. Regression models with time series errors .J. Amer. Statist. Assoc, 1984, 79 :118-124 .
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[7]Glasbey C A. Nonlinear regression with autoregressive time series errors .Biometrics, 1980, 36 :135-140 .
[8]Guegan D and Pham T D. Power of the score test against bilinear time series models .Statist. Sinica, 1992, 2 :157-169 .
[9]Tsai C L. Score test for the first-order autoregreesive model with heteroscedasticity .Biometrika, 1986, 73 :455-460 .
[10]Garr M M. On the third-order moment structure and dispectral analysis of some bilinear time series .J. Time Series Analysis, 1998, 9 :11-20 .
[11]Chi E M and Reinsel G C. Models for longitudinal data with random effects and AR(l)errors .J. Amer. Stat. Assoc, 1989, 84 :452-459 .
[12]Simonoff J S and Tsai C L. Improved tests for nonconstant variance in regression based on the modified profile likelihood .Appl. Statist, 1994, 43 :357-370 .

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