in this paper, absorbing markov chain models are developed to determine the optimum process mean levels for both a single-stage and a serial two-stage production system in which items are inspected for conformity with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is scrapped. if it falls above an upper limit, the item is ...

Well log data are a common source of information for characterizing subsurface environments. A statistical methodology is developed and applied for the interpretation of such data in terms of a multi-state depositional sequence. The well log data is classified into a discrete set of states (e.g., sand, silt, clay) and stratigraphic transitions between these states are described as a continuous ...

This paper presents a spline-based input modelling method for inferring the rate function of nonhomogeneous Poisson process (NHPP) given arrival-time observations and simple generating arrivals from resulting function. Splines are natural choice functions as they smooth by construction, highly flexible. Although flexibility is an advantage in terms reducing bias with respect to true function, i...

The log-likelihood of a nonhomogeneous Branching Diffusion Process under several conditions assuring existence and uniqueness of the diffusion part and nonexplosion of the branching process. Expressions for different Fisher information measures are provided. Using the semimartingale structure of the process and its local characteristics, a Girsanov-type result is applied. Finally, an Ornstein-U...