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

PSC In The News

RSS Feed icon

Buchmueller says employee wages are hit harder than corporate profits by rising health insurance costs

Davis-Kean et al. link children's self-perceptions to their math and reading achievement

Yang and Mahajan examine how hurricanes impact migration to the US

More News


Pamela Smock elected to PAA Committee on Publications

Viewing the eclipse from ISR-Thompson

Paula Fomby to succeed Jennifer Barber as Associate Director of PSC

PSC community celebrates Violet Elder's retirement from PSC

More Highlights

Next Brown Bag

Mon, Sept 11, 2017, noon:
Welcoming of Postdoctoral Fellows: Angela Bruns, Karra Greenberg, Sarah Seelye and Emily Treleaven

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