Babu, Gutti Jogesh ; Rao, C. Radhakrishna (1992) Expansions for statistics involving the mean absolute deviations Annals of the Institute of Statistical Mathematics, 44 (2). pp. 387-403. ISSN 0020-3157
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Official URL: http://www.springerlink.com/content/un27j565158q22...
Related URL: http://dx.doi.org/10.1007/BF00058648
Abstract
Expansion for the difference of mean absolute deviations from the sample mean and the population mean is derived. This result is used to obtain strong representations for mean absolute deviations from the sample mean and the sample median. Edgeworth expansions for some scale invariant statistics involving the mean absolute deviations are studied. These expansions are shown to be valid in spite of the presence of a lattice variable.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Mean Absolute Deviations; Edgeworth Expansions; Quantiles; Linear Model; L1-norm |
| ID Code: | 58155 |
| Deposited On: | 31 Aug 2011 12:35 |
| Last Modified: | 31 Aug 2011 12:35 |
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