This paper considers prediction intervals for a future observation in the context of mixed linear models. For such prediction problems, it is reasonable to assume that the future observation is independent of the current ones. Our approach is distribution-free, that is, we do not assume that the distributions of the random effects and errors are normal or specified up to a finite number of para...

The ability of three mixed linear models to rank sires correctly for dichotomous and ordered tetrachotomous traits was studied using simulated half-sib progeny data. The models differed in the assumptions made regarding homogeneity of residual variance. Ranking ability was assessed by estimating the realized response to truncation selection (20% of the candidates selected) upon sire evaluations...

genome-wide prediction approaches of the performance of threeway hybrids. Using an empirical barley data set, Li et al. showed that applying the developed genomic selection model allowing for subpopulation-specific marker effects (GSA-RRBLUP) tripled the prediction ability of three-way hybrids from 0.095 to 0.308 compared with the ridge regression best linear unbiased prediction approach that m...

In this article, we consider the problem of predicting times to failure of units censored in multiple stages in a progressively censored sample from normal distribution. The best linear unbiased predictor (BLUP), the maximum likelihood predictor (MLP), a modified maximum likelihood predictor (MMLP), an approximate maximum likelihood predictor (AMLP), and the conditional median predictor (CMP) a...

Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of the error and mixing distributions, the literature is sparse for nonlinear mixed models under nonnormality of the error or of the mixing distributions. This article develops a resampling based unifie...

Manganese efficiency is a quantitative abiotic stress trait controlled by several genes each with a small effect. Manganese deficiency leads to yield reduction in winter barley ( L.). Breeding new cultivars for this trait remains difficult because of the lack of visual symptoms and the polygenic features of the trait. Hence, Mn efficiency is a potential suitable trait for a genomic selection (G...

In this paper, the problem of predicting times to failure of units censored in multiple stages of progressively hybrid censoring for the proportional hazards family is considered. We discuss different classical predictors. The best unbiased predictor ($BUP$), the maximum likelihood predictor ($MLP$) and conditional median predictor ($CMP$) are all derived. As an example, the obtained results ar...