In this paper, we obtain  Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.

We consider the limit distribution of maxima for a sequence of Gaussian nonstationary processes. As an application we investigate the linear interpolation error for a.s. continuous and mean square diierentiable Gaussian processes with stationary increments. The relation between the smoothness of incremental variance function, d(t) = E(X(s + t) ? X(s)) 2 ], and the interpolation errors in mean s...

We solve the graph bipartitioning problem in dense graphs with arbitrary degree distribution using the replica method. We find the cut size to scale universally with . In contrast, earlier results studying the problem in graphs with a Poissonian degree distribution had found a scaling with square root [Fu and Anderson, J. Phys. A 19, 1605 (1986)]. Our results also generalize...

A distribution-graph based scheduling algorithm is proposed together with an extended tree growing technique to deal with the problem of unequal-length block-test scheduling under power dissipation constraints. The extended tree growing technique is used in combination with the classical scheduling approach in order to improve the test concurrency having assigned power dissipation limits. Its g...

The crossover distribution in meiotic tetrads of Arabidopsis thaliana differs from those previously described for Drosophila and Neurospora. Whereas a chi-square distribution with an even number of degrees of freedom provides a good fit for the latter organisms, the fit for Arabidopsis was substantially improved by assuming an additional set of crossovers sprinkled, at random, among those distr...

Chi-square analysis is a popular means of analyzing data from inheritance studies. Such an analysis, though, can be inappropriate when the phenotypic characteristic under study is a continuous variable. We argue that arbitrary categorization of continuous variables can either seriously invalidate or make powerless a chi-square goodness-of-fit test. We propose an alternative test based on kernel...

We construct a stationary ergodic process {X1, X2, X3 . . .} such that each Xt, 1 ≤ t <∞, has the uniform distribution on the unit square and the length Ln of the shortest path through {X1, X2, . . . , Xn} is not asymptotic to a constant times the square root of n. In other words, we show that the Beardwood, Halton and Hammersley theorem does not extend from the case of independent uniformly di...

This paper considers an Type I Generalized Half Logistic Distribution. We discussed the scale (σ) and shape (θ) parameters estimation using the median ranks method (Benard‟s approximation). Rama Krishna(2008) 1 studied the Type I Generalized Half Logistic Distribution scale (σ) and shape (θ) parameters estimation using the Least Square Method in two step estimation method. Also we computed Aver...

The objective of this study was to propose a suitable electrode disposition and shape for iontophoretic drug delivery systems in consideration of a reduction in skin barrier function and a distribution of current density. The reduction in barrier function was evaluated with our proposed method, which measured the resistance in the short term. The distribution was estimated using an electromagne...

We provide a large deviation result for a random sum ∑Nx n=0Xn, where Nx is a renewal counting process and Xn n≥0 are i.i.d. random variables, independent of Nx , with a common distribution that belongs to a class of square root insensitive distributions. Asymptotically, the tails of these distributions are heavier than e− √ x and have zero relative decrease in intervals of length √ x, hence sq...