STA 290 Seminar: Jiming Jiang

Jiming Jiang

Event Date

Mathematical Sciences 1147 (Colloquium Room)

SPEAKER: Jiming Jiang; Department of Statistics, UC Davis

TITLE: “Sumca: Simple, Unified, Monte-Carlo Assisted Approach to Second-order Unbiased MSPE Estimation”

ABSTRACT:   We propose a simple, unified, Monte-Carlo assisted approach to second-order unbiased estimation of mean squared prediction error (MSPE) of a small area predictor. The proposed MSPE estimator is easy to derive, has a simple expression, and applies to a broad range of predictors that include the traditional empirical best linear unbiased predictor (EBLUP), empirical best predictor (EBP), and post model selection EBLUP and EBP as special cases. Furthermore, the leading term of the proposed MSPE estimator is guaranteed positive; the lower-order term corresponds to a bias correction, which can be evaluated via a Monte-Carlo method. The computational burden for the Monte-Carlo evaluation is much lesser, compared to other Monte-Carlo based methods that have been used for producing second-order unbiased MSPE estimators, such as double bootstrap and Monte-Carlo jackknife. Theoretical and empirical results demonstrate properties and advantages of the proposed MSPE estimator. A real data application is considered. The work is joint with Mahmoud Torab of the University of Manitoba, Canada.

REFRESHMENTS: 3:30pm MSB 4110 (4th floor lounge)

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