Journal article
Order restricted inference for hypotheses concerning qualitative dispersion
Journal of statistical planning and inference, Vol.107(1), pp.249-265
2002
DOI: 10.1016/S0378-3758(02)00256-2
Abstract
We discuss likelihood-based order restricted inference for hypotheses concerning the qualitative dispersion associated with a probability vector; levels of dispersion are compared using the concept of Schur majorization. In particular, we show how to compute the maximum likelihood estimates of a probability vector under certain equality and inequality constraints on the dispersions, and show that the corresponding estimators are consistent. Asymptotic null distributions of the likelihood ratio statistics are also derived. Two data sets are analyzed using the methods developed in this paper.
Details
- Title: Subtitle
- Order restricted inference for hypotheses concerning qualitative dispersion
- Creators
- Richard L Dykstra - University of IowaJoseph B Lang - University of IowaMyongsik Oh - Pusan National UniversityTim Robertson - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of statistical planning and inference, Vol.107(1), pp.249-265
- Publisher
- Elsevier B.V
- DOI
- 10.1016/S0378-3758(02)00256-2
- ISSN
- 0378-3758
- eISSN
- 1873-1171
- Language
- English
- Date published
- 2002
- Academic Unit
- Statistics and Actuarial Science; Biostatistics
- Record Identifier
- 9984257634702771
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