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.
|Original language||English (US)|
|Number of pages||17|
|Journal||Annals of the Institute of Statistical Mathematics|
|State||Published - Jun 1 1992|
All Science Journal Classification (ASJC) codes
- Statistics and Probability