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.


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


Zbl 1009.62534
Full Text: DOI Link


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