in this paper, we obtain  bayesian prediction intervals as well as bayes predictive estimatorsunder square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.

We address the problem of maximally selected chi-square statistics in the case of a binary Y variable and a nominal X variable with several categories. The distribution of the maximally selected chi-square statistic has already been derived when the best cutpoint is chosen from a continuous or an ordinal X, but not when the best split is chosen from a nominal X. In this paper, we derive the exa...

Stop-loss reinsurance is one type of reinsurance contract that has attracted recent attention. In the simplest form of this contract, a reinsurer agrees to pay all losses of the insurer in excess of an agreed limit. This paper concerns the computation of bounds on the stop{loss premium when the loss distribution is unknown, but information about past claim experience is available in the form of...

We investigate quantum chaos in chaotic billiards by modelling the square (non-chaotic) and the stadium (chaotic) billiards as 2D infinite square wells. We developed MATLAB code that uses grid points and the method of finite differences to numerically solve the Schrödinger equation for either case. We successfully obtained the “scar” structures in higher energy eigenfunctions for the stadium ca...

In process of AC square wave submerged arc welding, electric signal waveform determines the arc energy characteristics in the time and frequency domain, which also reflects the arc stability of welding proc ess and quality indirectly. Using Wigner-Ville distribution (WVD), time frequency analysis is conducted to the current signal of AC square wave submerged arc welding. The Pseudo Wigner-Ville...

Based on the connection between the Ising model and a correlated percolation model, we calculate the distribution function for the fraction (c) of lattice sites in percolating clusters in subgraphs with n percolating clusters, f(n)(c), and the distribution function for magnetization (m) in subgraphs with n percolating clusters, p(n)(m). We find that f(n)(c) and p(n)(m) have very good finite-siz...