@book{50e7484d20214c38b54a3ef0137211a1,

title = "Sample size and the accuracy of a consistent estimator",

abstract = "Birnbaum (1948) introduced the notion of peakedness about () of a random variable T, defined by $P ( IT - \thetaI <\epsilon), \epsilon > 0$. What seems to be not well-known is that, for a consistent estimator T_n of \theta, its peakedness does not necessarily converge to 1 monotonically in n. In this article some known results on how the peakedness of the sample mean behaves as a function of n are recalled. Also, new results concerning the peakedness of the median and the midrange are presented.",

author = "{Laan, van der}, P. and {Eeden, van}, C.",

year = "2000",

language = "English",

series = "SPOR-Report : reports in statistics, probability and operations research",

publisher = "Technische Universiteit Eindhoven",

}