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Point Estimation

  • Jay L. Devore
  • Kenneth N. Berk
Chapter
Part of the Springer Texts in Statistics book series (STS)

Abstract

Given a parameter of interest, such as a population mean μ or population proportion p, the objective of point estimation is to use a sample to compute a number that represents in some sense a good guess for the true value of the parameter. The resulting number is called a point estimate. In Section 7.1, we present some general concepts of point estimation. In Section 7.2, we describe and illustrate two important methods for obtaining point estimates: the method of moments and the method of maximum likelihood.

Bibliography

  1. DeGroot, Morris, and Mark Schervish, Probability and Statistics (3rd ed.), Addison-Wesley, Boston, MA, 2002. Includes an excellent discussion of both general properties and methods of point estimation; of particular interest are examples showing how general principles and methods can yield unsatisfactory estimators in particular situations.Google Scholar
  2. Efron, Bradley, and Robert Tibshirani, An Introduction to the Bootstrap, Chapman and Hall, New York, 1993. The bible of the bootstrap.CrossRefGoogle Scholar
  3. Hoaglin, David, Frederick Mosteller, and John Tukey, Understanding Robust and Exploratory Data Analysis, Wiley, New York, 1983. Contains several good chapters on robust point estimation, including one on M-estimation.Google Scholar
  4. Hogg, Robert, Allen Craig, and Joseph McKean, Introduction to Mathematical Statistics (6th ed.), Prentice Hall, Englewood Cliffs, NJ, 2005. A good discussion of unbiasedness.Google Scholar
  5. Larsen, Richard, and Morris Marx, Introduction to Mathematical Statistics (4th ed.), Prentice Hall, Englewood Cliffs, NJ, 2005. A very good discussion of point estimation from a slightly more mathematical perspective than the present text.Google Scholar
  6. Rice, John, Mathematical Statistics and Data Analysis (3rd ed.), Duxbury Press, Belmont, CA, 2007. A nice blending of statistical theory and data.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Statistics DepartmentCalifornia Polytechnic State UniversitySan Luis ObispoUSA
  2. 2.Department of MathematicsIllinois State UniversityNormalUSA

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