AN APPLICATION OF A MARKED POINT PROCESS IN PRE-CLINICAL MEDICINE

✍ Scribed by DAMON M. BERRIDGE

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 785 KB
• Volume: 15
• Category: Article
• ISSN: 0277-6715
• DOI: 10.1002/(sici)1097-0258(19961230)15:24<2751::aid-sim497>3.0.co;2-q

✦ Synopsis

Several authors have employed marked point processes to model complex survival time data. In this paper it is proposed to illustrate further the flexibility of marked point processes by using such a framework to model pre-clinical data which comprise survival times accompanied by ordinal outcomes. of all other events. A random variable X , is associated with time t, t 3 0. Thus, for all possible values oft, we have a family of random variables X,, t 2 0, which are usually dependent on each other. This set of random variables { X t , t 3 0} is called a stochastic process.' There are many types of stochastic process, which vary according to whether the possible values of each X, are discrete or continuous, and whether time is discrete or continuous. In this paper, all subsequent processes X, will be integer-valued over continuous time. The relationship between the random variables X , , t 2 0, distinguishes one type of stochastic process from another. This paper *