Abstract We study the one-dimensional discrete time totally asymmetric simple exclusion process with parallel update rules on a spatially periodic domain. A multi-point space-time joint distribution formula is obtained for general initial conditions. The involves contour integrals of Fredholm determinants kernels acting certain spaces. For class conditions satisfying technical assumptions, we a...

In this paper, a new distribution is introduced based on continuous Weibull-Rayleigh distribution, that three-parameter lifetime model called as the discrete distribution. It allowing for bathtub-shaped hazard rate function. Its mathematical properties are discussed, and estimation of parameters compared by maximum likelihood least square methods. An actual data set thermal aging fitted to mode...