Quasi-martingales with a linearly ordered index set
نویسندگان
چکیده
منابع مشابه
Quasimartingales with a Linearly Ordered Index Set
We consider quasi-martingales indexed by a linearly order set. We show that such processes are isomorphic to a given class of (finitely additive) measures. From this result we easily derive the classical theorem of Stricker as well as the decompositions of Riesz, Rao and the supermartingale decomposition of Doob and Meyer.
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We prove a version of the Doob Meyer decomposition for supermartingales with a linearly ordered index set. Key words Doob Meyer decomposition, natural increasing processes, potentials, supermartingales. Mathematics Subject Classi cation (2000): : 28A12, 60G07, 60G20.
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Reuse of graywater is often suggested to be amogts the most effective to some of the current ecological problems. Application of rough sets theory for discovering dependances between various types of graywater is in the main focus of this work. This can facilitate processes aiming at less energy and chemical use and lower fresh water use. Key–Words: Rough sets, order ideals, quasi-ordered set
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This work is devoted to the study of certain cardinality modifications of paracompactness and compactness in the setting of linearly ordered spaces. Some of the concepts treated here have previously been studied by Aquaro [l]1, Gulden [4], Kennison [5], Mansfield [6], Morita [7], and Poppe [9]. On the other hand, the concept of m-boundedness, introduced in §2, is new. Our main results (Theorems...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2010
ISSN: 0167-7152
DOI: 10.1016/j.spl.2009.11.019