Unbiased Estimators and Their Applications

1. Front Matter

   Pages i-xii

   PDF

2. Elements of the Theory of Point Statistical Estimation

   • V. G. Voinov, M. S. Nikulin

   Pages 1-144

3. Techniques for Constructing Unbiased Estimators

   • V. G. Voinov, M. S. Nikulin

   Pages 145-246

4. Applications of Unbiased Estimation Theory

   • V. G. Voinov, M. S. Nikulin

   Pages 247-304

5. Back Matter

   Pages 305-524

   PDF

Statistical inferential methods are widely used in the study of various physical, biological, social, and other phenomena. Parametric estimation is one such method. Although there are many books which consider problems of statistical point estimation, this volume is the first to be devoted solely to the problem of unbiased estimation. It contains three chapters dealing, respectively, with the theory of point statistical estimation, techniques for constructing unbiased estimators, and applications of unbiased estimation theory. These chapters are followed by a comprehensive appendix which classifies and lists, in the form of tables, all known results relating to unbiased estimators of parameters for univariate distributions. About one thousand minimum variance unbiased estimators are listed. The volume also contains numerous examples and exercises.
This volume will serve as a handbook on point unbiased estimation for researchers whose work involves statistics. It can also be recommended as a supplementary text for graduate students.

• Estimator
• Variance
• distribution
• minimum
• statistics

• High Energy Physics Institute, Kazakh Academy of Science, Alma Ata, Kazakhstan

  V. G. Voinov

• Laboratory of Statistical Methods, Steklov Mathematical Institute, St Petersburg, Russia

  M. S. Nikulin

• Mathématiques Stochastiques, Université Bordeaux 2, Bordeaux, France

  M. S. Nikulin

Policies and ethics