Recent Advances in Linear Models and Related Areas

1. Front Matter

   Pages I-XV

   PDF

2. On the Identification of Trend and Correlation in Temporal and Spatial Regression

   • Ludwig Fahrmeir, Thomas Kneib

   Pages 1-27

3. Estimating the Number of Clusters in Logistic Regression Clustering by an Information Theoretic Criterion

   • Guoqi Qian, C. Radhakrishna Rao, Yuehua Wu, Qing Shao

   Pages 29-43

4. Quasi Score and Corrected Score Estimation in the Polynomial Measurement Error Model

   • Hans Schneeweiss

   Pages 45-58

5. Estimation and Finite Sample Bias and MSE of FGLS Estimator of Paired Data Model

   • Weiqiang Qian, Aman Ullah

   Pages 59-78

6. Prediction of Finite Population Total in Measurement Error Models

   • Hyang Mi Kim, A. K. Md. Ehsanes Saleh

   Pages 79-93

7. The Vector Cross Product and 4 × 4 Skew-symmetric Matrices

   • Götz Trenkler, Dietrich Trenkler

   Pages 95-104

8. Simultaneous Prediction of Actual and Average Values of Response Variable in Replicated Measurement Error Models

   • Shalabh, Chandra Mani Paudel, Narinder Kumar

   Pages 105-133

9. Local Sensitivity in the Inequality Restricted Linear Model

   • Huaizhen Qin, Alan T. K. Wan, Guohua Zou

   Pages 135-163

10. Boosting Correlation Based Penalization in Generalized Linear Models

    • Jan Ulbricht, Gerhard Tutz

    Pages 165-180

11. Simultaneous Prediction Based on Shrinkage Estimator

    • Anoop Chaturvedi, Suchita Kesarwani, Ram Chandra

    Pages 181-204

12. Finite Mixtures of Generalized Linear Regression Models

    • Bettina Grün, Friedrich Leisch

    Pages 205-230

13. Higher-order Dependence in the General Power ARCH Process and the Role of Power Parameter

    • Changli He, Hans Malmsten, Timo Teräsvirta

    Pages 231-251

14. Regression Calibration for Cox Regression Under Heteroscedastic Measurement Error — Determining Risk Factors of Cardiovascular Diseases from Error-prone Nutritional Replication Data

    • Thomas Augustin, Angela Döring, David Rummel

    Pages 253-278

15. Homoscedastic Balanced Two-fold Nested Model when the Number of Sub-classes is Large

    • Shu-Min Liao, Michael Akritas

    Pages 279-292

16. QR-Decomposition from the Statistical Point of View

    • Hilmar Drygas

    Pages 293-311

17. On Penalized Least-Squares: Its Mean Squared Error and a Quasi-Optimal Weight Ratio

    • Burkhard Schaffrin

    Pages 313-322

18. Optimal Central Composite Designs for Fitting Second Order Response Surface Linear Regression Models

    • Sung Hyun Park, Hyuk Joo Kim, Jae-Il Cho

    Pages 323-339

19. Does Convergence Really Matter?

    • Jörg Drechsler, Susanne Rässler

    Pages 341-355

20. OLS-Based Estimation of the Disturbance Variance Under Spatial Autocorrelation

    • Walter Krämer, Christoph Hanck

    Pages 357-366

This collection contains invited papers by distinguished statisticians to honour and acknowledge the contributions of Professor Dr. Dr. Helge Toutenburg to Statistics on the occasion of his sixty-?fth birthday. These papers present the most recent developments in the area of the linear model and its related topics. Helge Toutenburg is an established statistician and currently a Professor in the Department of Statistics at the University of Munich (Germany) and Guest Professor at the University of Basel (Switzerland). He studied Mathematics in his early years at Berlin and specialized in Statistics. Later he completed his dissertation (Dr. rer. nat. ) in 1969 on optimal prediction procedures at the University of Berlin and completed the post-doctoral thesis in 1989 at the University of Dortmund on the topic of mean squared error superiority. He taught at the Universities of Berlin, Dortmund and Regensburg before joining the University of Munich in 1991. He has various areas of interest in which he has authored and co-authored over 130 research articles and 17 books. He has made pioneering contributions in several areas of statistics, including linear inference, linear models, regression analysis, quality engineering, Taguchi methods, analysis of variance, design of experiments, and statistics in medicine and dentistry.

• Econometrics
• Estimator
• Fitting
• Generalized linear model
• Linear Models
• Logistic Regression
• Matrix
• Matrix Theory
• Regression
• Regression analysis
• Time series
• Variance
• cluster analysis
• correlation
• linear regression

From the reviews:

“This is a festschrift for Professor Helge Toutenburg on the occasion of his 65th birthday. … In addition, the general mixture model class is presented and several special cases are discussed … . This great variety of topics, as well as the very clear style of the presentation makes a pleasant reading. Overall, if I had to recommend a good book on recent advances in the study of linear models, I would choose this one.”­­­ (J. A. Pardo, Statistical Papers, Vol. 52, 2011)

“This edited volume attempts to present some recent developments in linear models and related areas. … This collection comprises 24 papers to honor the contributions of Helge Toutenburg, an accomplished and established statistician, on his 65th birthday. … This volume will be useful and of interest to the intended audience—experienced researchers as well as practitioners in the field of linear models.” (Technometrics, Vol. 51 (2), May, 2009)

• Department of Mathematics & Statistics, Indian Institute of Technology Kanpur, Kanpur, India

  Shalabh

• Institute of Statistics, Ludwig-Maximilians-University Munich, Munich, Germany

  Christian Heumann

Policies and ethics