Representations of Conditional Means
نویسندگان
چکیده
A unified treatment of integral representations of conditional expectations, in terms of Bochner integrals, with specializations to Gaussian conditioning, is given. The integrals in the latter have deterministic kernels. Difficulties in actual calculations of (even regular) conditional probabilities, and the inadequacy of methods related to L’Hospital’s procedures, are exemplified. Limitations of the methods used and some new problems for investigation are indicated. 2000 Mathematics Subject Classification: Primary: 60B11, 60H99. Secondary: 20C20.
منابع مشابه
Mental Representations of Lyrical Prose
The article analyzes mental representations of Russian lyrical prose texts. The texts demonstrate collective memory engrams that are defined by cultural and historical legacy of the nation and authors’ creative world perception. In architectonics of a lyrical prose text, sense perception reveals itself in accumulated underlying meanings and wisdom conveyed by expressive means. The author’s inte...
متن کاملA Spoken Question Answering System Based on Conditional Knowledge
A conditional schema is a graph-based structure which is able to represent conditional knowledge. This structure was introduced in [11]. The inference mechanism corresponding to the conditional schema representations was developed in [12]. In this paper we propose a question answering system that can represent and process conditional knowledge using these mechanisms. The structure of such a sys...
متن کاملNatural selection and the conditions for existence: representational vs. conditional teleology in biological explanation.
Human intentional action, including the design and use of artifacts, involves the prior mental representation of the goal (end) and the means to achieve that goal. This representation is part of the efficient cause of the action, and thus can be used to explain both the action and the achievement of the end. This is intentional teleological explanation. More generally, teleological explanation ...
متن کاملEmbedding Conditional Knowledge Bases into Question Answering Systems and Java Implementation
A conditional schema is a graph-based structure which is able to represent conditional knowledge. This structure was introduced in [11]. The inference mechanism corresponding to the conditional schema representations was developed in [12]. In this paper we propose a question answering system that can represent and process conditional knowledge using these mechanisms. In order to accomplish this...
متن کاملA Universal Investigation of $n$-representations of $n$-quivers
noindent We have two goals in this paper. First, we investigate and construct cofree coalgebras over $n$-representations of quivers, limits and colimits of $n$-representations of quivers, and limits and colimits of coalgebras in the monoidal categories of $n$-representations of quivers. Second, for any given quivers $mathit{Q}_1$,$mathit{Q}_2$,..., $mathit{Q}_n$, we construct a new quiver $math...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003