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

PSC In The News

RSS Feed icon

Kusunoki, Hall, and Barber find obese teen girls less likely to use birth control

Prescott finds reported sex offenses lower in neighborhoods with resident sex offenders

Geronimus says poor Detroiters face greater health risks given adverse social conditions

Highlights

Bob Willis awarded 2015 Jacob Mincer Award for Lifetime Contributions to the Field of Labor Economics

David Lam is new director of Institute for Social Research

Elizabeth Bruch wins Robert Merton Prize for paper in analytic sociology

Elizabeth Bruch wins ASA award for paper in mathematical sociology

Next Brown Bag

PSC Brown Bags will be back fall 2015


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