Order of Consistency and Its Maximum Order

Masafumi Akahira ()
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Masafumi Akahira: Uninversity of Tsukuba, Professor Emeritus

Chapter Chapter 1 in Theory of Statistical Estimation, 2026, pp 1-25 from Springer

Abstract: Abstract Under suitable regularity conditions, the order of consistency, i.e. the rate of convergence of consistent estimator is n $$\sqrt {n}$$ for a size n of sample. On the other hand, for a truncated family of distributions as a typical case when the regularity conditions do not necessarily hold, the order of consistency is not always n $$\sqrt {n}$$ , but there appear n 1 ∕ α $$n^{1/\alpha }$$ ( 0

Date: 2026
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DOI: 10.1007/978-981-95-5339-6_1

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