The Power-Law Process (PLP) is a two-parameter model widely used for modeling repairable system reliability. Results on exact point estimation for both parameters as well as exact interval estimation for the shape parameter are well-known. In this paper, we investigate the interval estimation for the scale parameter. Asymptotic confidence intervals are derived using Fisher information matrix an...

Monte Carlo Simulation (MCS) offers a powerful means for evaluating the reliability of a system, due to the modeling flexibility that it offers indifferently of the type and dimension of the problem. The method is based on the repeated sampling of realizations of system configurations, which however are seldom of failure so that a large number of realizations must be simulated in order to achie...

The problem of estimating the relatedness of a pair of biological sequences is addressed. A stochastic model of sequence evolution is described that allows insertion and deletion as well as replacement of amino acid residues (or substitution of nucleotides) over time. An expectation-maximization (EM) algorithm that obtains maximum likelihood estimates of the model parameters is introduced. The ...

Software reliability growth model is one of the fundamental techniques to assess software reliability quantitatively. A number of testing-effort functions for modeling software reliability based on the nonhomogeneous Poisson process (NHPP) have been proposed in the past decades. Although these models are quite helpful for the software testing, we still need to put more testing-effort into softw...