Abstract
We now begin the study of problems of statistical inference. In this section we shall study the problems associated with parametric estimation when the sample size is fixed. Suppose for example that a random variable U is known to have a normal distribution N (µ, σ2), but one of the parameters is not known, say µ. Suppose further that a sample U 1 ,...,U n is taken on U. The problem of point estimation is to pick a (one dimensional) statistic T n (U 1 ,..., U n ) that estimates best the parameter µ. The numerical value of T n , when the realization is x 1 ,...,x n , is called an estimate of µ, of while the statistic T n (x1,...,x n ) is called estimator of µ.
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Kruse, R., Meyer, K.D. (1987). Some aspects of statistical inference. In: Statistics with Vague Data. Theory and Decision Library, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3943-1_11
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DOI: https://doi.org/10.1007/978-94-009-3943-1_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8249-5
Online ISBN: 978-94-009-3943-1
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