Supplementary Figure 1 Q-Q plots for the WTCCC data. Supplementary Note 1 The FaST-LMM algorithm.

Motivated by applications to goodness of fit U-statistic testing, the jackknife empirical likelihood (Jing, et al. [14]) is justified with an alternative approach and the Wilks theorems for vector U-statistics are proved. This generalizes Owen’s empirical likelihood for vectors to vector U statistics and includes the JEL for U-statistics with side information as a special case. The results are ...

backgrounds the degree of microleakage is one of the main criteria in evaluating the restorative materials such as glass ionomer (gi) restoratives, which are available in two forms: loose powder and liquid form to be hand-mixed or pre-proportioned in a capsule to be mixed mechanically. objectives this study was conducted to compare the microleakage of encapsulated gi restoratives with their han...

Using previous work on the Behrens-Fisher problem, two approximate degrees of freedom tests, that can be used when one treatment is individually administered and one is administered to groups, were developed. Type I error rates are presented for these tests, an additional approximate degrees of freedom test developed by Myers, Dicecco, and Lorch (1981), and a mixed model test. The results indic...

Make more knowledge even in less time every day. You may not always spend your time and money to go abroad and get the experience and knowledge by yourself. Reading is a good alternative to do in getting this desirable knowledge and experience. You may gain many things from experiencing directly, but of course it will spend much money. So here, by reading linear mixed models for longitudinal da...

L p estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains. Abstract A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors prove the existence of solutions in (...

This paper proposes two mixed models to study a consumer’s optimal saving in the presence of two types of risk: income risk and background risk. In the first model, income risk is represented by a fuzzy number and background risk by a random variable. In the second model, income risk is represented by a random variable and background risk by a fuzzy number. For each model, three notions of prec...

In a recent paper ((3)) a fitting procedure for the Neyman-Scott rectangular pulses (NSRP) spatial-temporal model of rainfall was developed. In that paper, the NSRP third moment function was fitted to the equivalent sample value taken at one-hour time intervals. In this paper, the fitting and modelling procedure are extended to ensure a close fit is obtained to further sample properties over a ...

The generation of leveled production schedules is of high importance for mixed-model assembly lines whose parts and materials are supplied just-in-time by multi-level production processes. The Output Rate Variaton problem is the standard mathematical representation of this complex level scheduling problem and has been extensively studied by research thus far. This work identi es novel symmetrie...