A further look at the comparison of normal percentile estimators
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 8 (1) , 1-16
- https://doi.org/10.1080/03610927808827733
Abstract
For the purpose of making a pairwise comparison of point estimators of normal percentiles, a twofold technique is introduced which basically examines (a) the"odds"in favor of an estimator being closer to the true value than is a competing estimator and (b) an estimator's average closeness to the true value when it is closer (as well as when it is not) than is a competing estimator, Closeness to the true value is measured through an absolute error loss function. Joint consideration of these concepts is shown to form a basis for determining which of two estimators is preferred in a given situation.Keywords
This publication has 3 references indexed in Scilit:
- Comparison of point estimators of normal percentilesCommunications in Statistics - Simulation and Computation, 1977
- Optimum Estimators for Linear Functions of Location and Scale ParametersThe Annals of Mathematical Statistics, 1969
- A Survey of Properties and Applications of the Noncentral t-DistributionTechnometrics, 1968