This paper examines the role of Stein estimation in a linear ultrastructural form of the measurement errors model. It is demonstrated that the application of Stein rule estimation to the matrix of true values of regressors leads to the overcoming of the inconsistency of the least squares procedure a
A new property of Stein procedure in measurement error model
β Scribed by Anil K. Srivastava; Shalabh
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 215 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Stein-rule procedure is a known technique for yielding biased but efficient estimators of parameters. This article demonstrates that it can be utilized for overcoming the inconsistency of least squares estimators in measurement error models and therefrom providing a class of consistent estimators.
π SIMILAR VOLUMES
where B and C are nonstochastic matrices of the appropriate order in each case. When additionally B is symmetric, However, in the article, only the first result was utilized, with no serious consequences, as the matrix B is symmetric. The other results in (4) are correct.
Residence time distributions are required for modeling, design and optimization of chemical and biochemical multiphase reactors. Most models either cannot discriminate between true backmixing and a spread in fluid velocity or they require a large number of empirical parameters. A new stochastic mode