Some quality characteristics are well defined when treated as response variables and are related to some independent variables. This relationship is called a profile. Parametric models, such as linear models, may be used to model profiles. However, in practical applications due to the complexity of many processes it is not usually possible to model a process using parametric models.In these cas...

Change-Point Methods (CPMs) are statistical tests design to assess whether a given sequence comes from an unique, stationary, data-generating process. CPMs eventually estimate the change-point location, i.e., the point where the data-generating process shifted. While there exists a large literature concerning CPMs meant for sequences of independent and identically distributed (i.i.d.) random va...

Change point estimation in the area of statistical process control has received considerable attentions in the recent decades because it helps process engineer to identify and remove assignable causes as quickly as possible. On the other hand, improving in measurement systems and data storage, lead to taking observations very close to each other in time and as a result increasing autocorrelatio...

The process personnel always seek the opportunity to improve the processes. One of the essential steps for process improvement is to quickly recognize the starting time or the change point of a process disturbance. Different from the traditional normally distributed assumption for a process, this study considers a process which follows a gamma process. In addition, we consider the possibility o...

Since the middle of the twentieth century, the problem of making inferences about the point in a surveyed series of observations at which the underlying distribution changes has been extensively addressed in the economics, biostatistics and statistics literature. CUSUM type statistics have commonly been thought to play a central role in non-sequential change point detections. Alternatively, we ...

Sometimes the quality of a process or product is described by a functional relationship between a response variable and one or more explanatory variables referred to as profile. In most researches in this area the response variable is assumed to be normally distributed; however, occasionally in certain applications, the normality assumption is violated. In these cases the Generalized Linear Mod...

  Although control charts are very common to monitoring process changes, they usually do not indicate the real time of the changes. Identifying the real time of the process changes is known as change-point estimation problem. There are a number of change point models in the literature however most of the existing approaches are dedicated to normal processes. In this paper we propose a novel app...

For the problem of sequential change detection we propose a novel modelling of the change-point mechanism. In particular we regard the time of change as a stopping time controlled by Nature. Nature, in order to decide when to impose the change, accesses sequentially information which can be different from the information provided to the Statistician to detect the change. Using as performance me...