Abstract
The structure that has received by far the most attention in the statistical literature is one that can be described as follows. One takes a family of probability measures { pθ: θ ∈ Θ } on some space (X, A). Then one considers experiments ε n = { Pθ, n; θ ∈ Θ } where Pθ, n is the joint distribution of n observations X1, X2, …, X n all independent with individual distribution p θ. One studies the asymptotic behavior of the system as n tends to infinity. We shall refer to this as the “standard i.i.d. case.”
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© 2000 Springer Science+Business Media New York
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Le Cam, L., Yang, G.L. (2000). Independent, Identically Distributed Observations. In: Asymptotics in Statistics. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1166-2_7
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DOI: https://doi.org/10.1007/978-1-4612-1166-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7030-0
Online ISBN: 978-1-4612-1166-2
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