分层分位模拟——理论、方法及应用 自然科学 田茂再 编
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274.45
6.9折
¥
398
全新
库存2件
作者田茂再 编
出版社科学出版社
ISBN9787030699039
出版时间2022-01
版次1
装帧平装
开本16
定价398元
货号xhwx_1202575984
上书时间2024-10-31
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目录:
preface
part i quantile regression modelling
chapter 1 inear quantile regression
1.1 education: mathematical achievements
1.1.1 introduction
1.1.2 data
1.1.3 estimation results
1.1.4 confidence intervals and related interpretations
1.1.5 conclusion
1.2 large sample properties
1.3 bibliographic notes
chapter 2 nonparametric quantile regression
2.1 robust local appromation method
2.1.1 introduction
2.1.2 consistency
2.1.3 rate of convergence
2.1.4 asymptotic distribution
2.1.5 optimization of estimate
2.1.6 bibliographic notes
2.2 nonparametric function estimation
2.2.1 introduction
2.2.2 asymptotic properties
2.2.3 applications
2.2.4 bibliographic notes
2.3 local linear quantile regression
2.3.1 introduction
2.3.2 local linear check function minimization
2.3.3 local linear double-kernel smoothing
2.3.4 bibliographic notes
chapter 3 adaptive quantile regression
3.1 locally constant adaptive quantile regression
3.1.1 introduction
3.1.2 adaptive estimation
3.1.3 implementation
3.1.4 theoretical properties
3.1.5 bibliographic notes
3.2 locally linear adaptive quantile regression
3.2.1 introduction
3.2.2 local linear adaptive estimation
3.2.3 algorithm
3.2.4 theoretical properties
3.2.5 bibliographic notes
chapter 4 adaptive quantiles regression
4.1 additive conditional quantiles with high-dimensional covariates
4.1.1 introduction
4.1.2 methodology
4.1.3 asymptotic behavior
4.1.4 conclu remarks
4.1.5 bibliographic notes
4.2 nonparametric estimation
4.2.1 introduction
4.2.2 estimator
4.2.3 asymptotic results
4.2.4 conclusions
4.2.5 bibliographic notes
chapter 5 quantile regression based on varyingcoefficient models
5.1 adaptive quantile regression based on varying-coefficient models
5.1.1 introduction
5.1.2 adaptive estimation
5.1.3 theoretical properties
5.1.4 conclusion
5.1.5 bibliographic notes
5.2 varying-coefficient models with heteroscedasticity
5.2.1 introduction
5.2.2 local linear cqr-aqr estimation
5.2.3 local quadratic cqr-aqr estimation
5.2.4 bandwidth selection
5.2.5 hypothesis testing
5.2.6 local m-polynomial cqr-aqr estimation
5.2.7 discussion
5.2.8 bibliographic notes
chapter 6 single-index quantile regression
6.1 single index models
6.1.1 introduction
6.1.2 the model and estimation
6.1.3 large sample properties
6.1.4 conclusions
6.1.5 bibliographic notes
6.2 cqr for varying coefficient single-index models
6.2.1 introduction
6.2.2 quantile regression
6.2.3 ite quantile regression
6.2.4 discussion
6.2.5 bibliographic notes
chapter 7 quantile autoregression
7.1 introduction
7.2 the model
7.2.1 description of the model
7.2.2 properties
7.3 estimation
7.4 quantitle monotonicity
7.5 inference
7.5.1 wald process and related tests
7.5.2 testing for asymmetric dynamics
7.5.3 bibliographic notes
chapter 8 ite quantile regression
8.1 ite quantile and model selection
8.1.1 introduction and motivation
8.1.2 ite quantile regression
8.1.3 asymptotic relative efficiency
8.1.4 the cqr-oracular estimator
8.1.5 conclu remarks
8.1.6 bibliographic notes
8.2 local quantile regression
8.2.1 introduction
8.2.2 estimation of regression function
8.2.3 estimation of derivative
8.2.4 local p-polynomial cqr smoothing
8.2.5 discussion
……
内容简介:
随着科学技术的迅猛发展,具有复杂分层结构的数据在现实生活中很普遍。能剖析这类数据,发觉该类数据表象下的潜在规律对于统计学等科研领域很有意义。分层分位模拟——理论、方法及以应用(英文版)致力于介绍复杂分层数据分析前沿知识,侧重于分层分位回归理论、方法及其应用研究。内容主要包括三大块:分层数据建模、分位回归与分层分位回归。主要涉及到线分层分位回归模拟、非参数分层分位回归模拟、适应分层分位回归模拟、可加分层分位回归模拟、变系数分层分位回归模拟、单指数分层分位回归模拟、分层分位自回归模拟、复合分层分位回归模拟、高维分层分位回归模拟、分层分位回归模拟、分层样条分位回归模拟、分层线分位回归模拟、分层半参数分位回归模拟、复合分层线分位回归模拟、复合分层半参数分位回归模拟等。
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