Point Estimation Methods

Ron C. Mittelhammer
Additional contact information
Ron C. Mittelhammer: Washington State University, School of Economic Sciences

Chapter 8 in Mathematical Statistics for Economics and Business, 2013, pp 433-521 from Springer

Abstract: Abstract In this chapter we examine point estimation methods that lead to specific functional forms for estimators of q(Θ) that can be relied upon to define estimators that often have good estimator properties. Thus for the only result in Chapter 7 that could be used directly to define the functional form of an estimator is the theorem on the attainment of the CRLB, which is useful only if the probability model {f(x;Θ), Θ∈Ω} and the estimand q(Θ) are such that the CRLB is actually attainable. We did examine a number of important results that could be used to narrow the search for a good estimator of q(Θ), to potentially improve upon an unbiased estimator that was already available, or that could verify when an unbiased estimator was actually the best in the sense of minimizing variance or in having the smallest covariance matrix. However, since the functional form of an estimator of q(Θ) having good estimator properties is often not apparent even with the aid of the results assembled in Chapter 7, we now examine procedures that suggest functional forms of estimators.

Keywords: Smaller Covariance Matrix; BLUE Estimator; Best Linear Unbiased Estimator (BLUE); Complete Sufficient Statistic; MVU Estimator (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-5022-1_8

Ordering information: This item can be ordered from
http://www.springer.com/9781461450221

DOI: 10.1007/978-1-4614-5022-1_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().