Abstract
Statistical decision procedures where the sizes of sub-samples are determined sequentially (sequentially planned statistical decision procedures) are described in definition (1.22) by a sequential plan r and a terminal decision procedure ε. I.e. similarly to purely sequential decision procedures (see definition (1.12)) such a procedure is split up into
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- a part τ which is focused upon the sequential determinations of sub-samples and
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- a part ϕ = (ϕ a )a∈A which exclusively concerns the terminal decisions.
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Notes
There is no relation to the admissibility concept of decision theory; existence only of the expected value in the wide sense is assumed, i.e. EZ+ < ∞ or EZ- < ∞.
This assumption is e.g. fulfilled if Za ≤ 0 (i.e. allow an interpretation as losses); comp. Chapter 4.
We always define supθ … = maxθ… =-∞.
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© 1993 Springer-Verlag New York, Inc.
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Schmitz, N. (1993). Optimal sequential sampling plans. In: Schmitz, N. (eds) Optimal Sequentially Planned Decision Procedures. Lecture Notes in Statistics, vol 79. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2736-6_2
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DOI: https://doi.org/10.1007/978-1-4612-2736-6_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97908-3
Online ISBN: 978-1-4612-2736-6
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