The goal of this study is to introduce a statistical method regarding the analysis of specific latent data for regression analysis of the discrete data and to build a relation between a probit regression model (related to the discrete response) and normal linear regression model (related to the latent data of continuous response). This method provides precise inferences on binary and multinomia...

Circadian clocks drive endogenous oscillations in organisms across the tree of life. The Earth's daily light/dark cycle entrains these clocks to the environment. Two major theories of light entrainment have been presented in the literature. The discrete theory emphasizes the instantaneous phase-shifting behavior of short pulses of light, and the continuous theory emphasizes changes to the perio...

Hybrid systems are continuous variable, continuous time systems with a phased operation. Within each phase the system evolves continuously according to the dynamical law of that phase; when an event occurs, the system makes a transition from one phase to the next. In this paper, we study hybrid systems with nondeterministic discrete and continuous behaviors. We use nondeterministic nite automat...

Hybrid systems are continuous variable, continuous time systems with a phased operation. Within each phase the system evolves continuously according to the dynamical law of that phase; when an event occurs, the system makes a transition from one phase to the next. In this paper, we study hybrid systems with nondeterministic discrete and continuous behaviors. We use nondeterministic nite automat...

I describe a software reliability growth model that yields accurate parameter estimates even with a small amount of input data. The model is based on a proposed discrete analog of a Gompertz equation that has an exact solution. The difference equation tends to a differential equation on which the Gompertz curve model is defined, when the time interval tends to zero. The exact solution also tend...

a discrete mibi avid lung lesion was found in cinematic views of myocardial perfusion imaging (mpi) of a 59 year-old woman. interestingly, the abnormal uptake in the lung was detectable only in the rest phase images and not in the images acquired in the stress phase. mpi was performed for pre-operation cardiac risk assessment before correction surgery for spinal canal stenosis.  she had no past...

Discrete and homogeneous models of a structured material are considered to resolve di0culties in the analysis of dynamic phase transition. The discrete model is a chain consisting of particles connected by massless bonds, while the continuous model is represented by a partial di3erential equation with higher than the second order of coordinate derivatives. The macrolevel constitutive law is rep...