f risk points,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a statistical decision problem (Θ, X, D, L) with Θ = {θ1, . . . , θk}. Show that if x0 = (R(θ1, δ0), . . . , R(θk, δ0)) ∈ λ(R), then δ0 is admissible. Here, R is the set of risk points, assumed to be a closed set and λ(R) denotes the set of lower boundary points of R 

Consider a statistical decision problem (e, X, D, L) with O = {01,...,0k}.
Show that if ro = (R(01, 80),..., R(0k, 80)) E A(R), then đo is admissible.
Here, R is the set of risk points, assumed to be a closed set and A(R) denotes the set of lower boundary
points of R.
Transcribed Image Text:Consider a statistical decision problem (e, X, D, L) with O = {01,...,0k}. Show that if ro = (R(01, 80),..., R(0k, 80)) E A(R), then đo is admissible. Here, R is the set of risk points, assumed to be a closed set and A(R) denotes the set of lower boundary points of R.
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