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New measures of central tendency and variability of continuous distributions. (English) Zbl 1318.62009

Summary: A scalar inference function suggested by the author [ibid. 30, No. 3, 537–555 (2001; Zbl 1009.62534)] is used for an introduction of measures of the central tendency and variability of continuous distributions. A number of examples shows that new measures are plausible namely for such distributions, for which the mean and/or the variance do not exist. The estimates of both measures are new characteristics of random samples taken from the distribution.

MSC:

62A01 Foundations and philosophical topics in statistics
62F10 Point estimation

Citations:

Zbl 1009.62534
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References:

[1] DOI: 10.1002/0471200611
[2] DOI: 10.1081/STA-100002096 · Zbl 1009.62534
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