<p style='text-indent:20px;'>This paper considers simultaneous optimal prediction and estimation problems in the context of linear random-effects models. Assume a pair of seemingly unrelated linear random-effects models (SULREMs) with the random-effects and the error terms correlated. Our aim is to find analytical formulas for calculating best linear unbiased predictors (BLUPs) of all unknown parameters in the two models by means of solving a constrained quadratic matrix optimization problem in the Löwner sense. We also present a variety of theoretical and statistical properties of the BLUPs under the two models.</p>
In this article, primal-dual interior-point methods (IPMs) for second-order cone optimization (SOCO) based on the generalized trigonometric barrier function are studied. Furthermore, we derive the iteration bounds of large- and small-update IPMs for SOCO.
Secondary vocational education in Shanghai continues to experiment in an attempt to find ways to solve the decline of student enrollment and adjust to rapidly changing social and economic environments. The 3 + 4 Pilot Program (three-year secondary vocational education and four-year undergraduate education) has been under experiment since 2014. It has attracted more and more academically good junior middle school graduates to secondary vocational schools with the national and local favorable policies and laws. Except the three-year's hand-on practice,what appeals most to the junior middle school graduates is the academic transfer under the Program, a breakthrough in history of vocation education in China. However, only initiating a new program is not enough. Shanghai government should map out a long-term plan to set up promotion to increase the public awareness to change the long prevailing outdated ideology in order to add more to its appeal of the Program. There is still much work to be done before expanding the scope of the Program.
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