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Expansions for statistics involving the mean absolute deviations

✍ Scribed by Gutti Jogesh Babu; C. Radhakrishna Rao

Book ID
104625388
Publisher
Springer Japan
Year
1992
Tongue
English
Weight
598 KB
Volume
44
Category
Article
ISSN
0020-3157

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

General characterization theorems via th
General characterization theorems via the mean absolute deviation
✍ G.R.Mohtashami Borzadaran; D.N. Shanbhag πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 92 KB

The Cherno -Borovkov-Utev inequality resulted owing to earlier inequalities established by Cherno (1981) and Borovkov and Utev (1983), respectively, giving bounds for the variance of functions of normal r.v.'s and leading to characterizations of normality. Subsequently, several analytic properties o