Home > Publications . Search All . Browse All . Country . Browse PSC Pubs . PSC Report Series

PSC In The News

RSS Feed icon

ISR's Scott Page says diverse teams produce optimal results

Bound, Geronimus, et al. find estimates of decreasing longevity among low-SES whites sensitive to measures and interpretations

Thompson casts doubt on the rehabilitative intentions of prison labor

More News

Highlights

Seefeldt discusses her book Abandoned Families, Wed, March 29, 4 PM, Annenberg Auditorium

U-M participants at PAA Annual Meeting, April 27-29

Heather Ann Thompson wins Bancroft Prize for History for 'Blood in the Water'

Michigan ranks in USN&WR top-10 grad schools for sociology, public health, labor economics, social policy, social psychology

More Highlights

Next Brown Bag

Mon, April 10, 2017, noon:
Elizabeth Bruch

Minimax expected measure confidence sets for restricted location parameters

Publication Abstract

Evans, S.E., Ben Hansen, and P.B. Stark. 2005. "Minimax expected measure confidence sets for restricted location parameters." Bernoulli, 11:571-590.

We study confidence sets for a parameter θ∈Θ that have minimax expected measure among random sets with at least 1-α coverage probability. We characterize the minimax sets using duality, which helps to find confidence sets with small expected measure and to bound improvements in expected measure compared with standard confidence sets. We construct explicit minimax expected length confidence sets for a variety of one-dimensional statistical models, including the bounded normal mean with known and with unknown variance. For the bounded normal mean with unit variance, the minimax expected measure 95% confidence interval has a simple form for Θ= [-τ, τ] with τ≤3.25. For Θ= [-3, 3], the maximum expected length of the minimax interval is about 14% less than that of the minimax fixed-length affine confidence interval and about 16% less than that of the truncated conventional interval [X -1.96, X + 1.96] ∩[-3,3].

DOI:10.3150/bj/1126126761 (Full Text)

Browse | Search : All Pubs | Next