The multiple repairable systems may present system-to-system variability owing to the factors such as operation environments and working intensities of individual systems. It may be more reasonable to assume a heterogeneity among all the systems. In this paper, we propose a nonlinear mixed-effects model (NLMM), called power law process-nonlinear mixed-effects model (PLP-NLMM) and log linear pro...

Dimensionality reduction has important applications in exploratory data analysis. A method based on Local Linear Projection (LLP) is proposed. The advantage of this method is that it is robust against uncertainty. Statistical analysis is applied to estimate parameters. Simulational results on synthetic data are promising. Some preliminary experiment of applying this method to microarray data is...

In this article, two different systems subject to shocks occurring based on a non-homogeneous Poisson process (NHPP) are analyzed. Type –I system is consisted of a single unit and type –II system is consisted of two parallel units in which both units operate identically and simultaneously. In type –I system occurrence of a shock causes system stopping and consequently will be received minimal r...

Linear logic developed by J.-Y. Girard can be described as a logic of resources. There have been several proposals for logic programming language based on linear logic: LO, LinLog, ACL, Lolli, Lygon, and Forum. Lolli and Lygon are implemented as interpreter systems (on SML and λProlog for Lolli, on Prolog for Lygon). But, none of them have been implemented as a compiler system. This paper descr...

Bernoulli-logistic latent Gaussian models (bLGMs) are a useful model class, but accurate parameter estimation is complicated by the fact that the marginal likelihood contains an intractable logistic-Gaussian integral. In this work, we propose the use of fixed piecewise linear and quadratic upper bounds to the logistic-log-partition (LLP) function as a way of circumventing this intractable integ...

We show that the decomposition of Intuitionistic Logic into Linear Logic along the equation A ! B = !A ( B may be adapted into a decomposition of classical logic into LLP, the polarized version of Linear Logic. Firstly we build a categorical model of classical logic (a Control Category) from a categorical model of Linear Logic by a construction similar to the co-Kleisli category. Secondly we an...

Lichen planus (LP) is a skin disease characterized by violaceous, polygonal, flat-topped papules and plaques. The form with lichenoid papules in linear distribution is called linear lichen planus (LLP). It is usually distributed unilaterally and follows Blaschko lines. Lichen planus is seen in less than 0.2% of all LP patients [1]. To our knowledge, there has been no LPP case due to orthopedic ...

In some statistical process monitoring applications, quality of a process or product is described by more than one ordinal factors called ordinal multivariate process. To show the relationship between these factors, an ordinal contingency table is used and modeled with ordinal log-linear model. In this paper, a new control charts based on ordinal-normal statistic is developed to monitor the ord...

In many of the studies concerning Accelerated life testing (ALT), the log linear function between life and stress which is just a simple re-parameterization of the original parameter of the life distribution is used to obtain the estimates of original parameters but from the statistical point of view, it is preferable to work with the original parameters instead of developing inferences for the...