Expansions for statistics involving the mean absolute deviations

G. Jogesh Babu; C. Radhakrishna Rao

doi:10.1007/BF00058648

Expansions for statistics involving the mean absolute deviations

G. Jogesh Babu, C. Radhakrishna Rao

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English (US)
Pages (from-to)	387-403
Number of pages	17
Journal	Annals of the Institute of Statistical Mathematics
Volume	44
Issue number	2
DOIs	https://doi.org/10.1007/BF00058648
State	Published - Jun 1 1992

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics

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10.1007/BF00058648

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title = "Expansions for statistics involving the mean absolute deviations",

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.",

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N2 - 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.

AB - 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.

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Expansions for statistics involving the mean absolute deviations

Abstract

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