Titlebook: Stochastic Processes: General Theory; M. M. Rao Book 1995 Springer-Verlag US 1995 Martingal.Martingale.Parameter.stochastic differential e

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technology can then examine the metrics used in the tests and profile his network traffic to these same metrics. The consumer can use standard test results to accurately predict performance on his network. This paper proposes a test methodology for standardized capacity benchmarking of NIDS. The tes

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Book 1995c processes. It treats the functiontheoretical aspects of processes and includes an extended account ofmartingales and their generalizations. Various compositions of (quasi-or semi-)martingales and their integrals are given. Here the Bochnerboundedness principle plays a unifying role: a unique featu

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Stochastic function theory,es. The concepts of separability and measurability are introduced and analyzed for general classes of processes. This can be done abstractly and more rapidly through the use of lifting theory and a brief discussion of the lifting theorem is included. The existence of separable and measurable modific

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Refinements in martingale analysis,ansformation and investigate various properties of martingales under the effect of these mappings. A number of technical (measure theoretical) problems arise when such families are considered, and we present a detailed analysis of these processes together with their structure and limit theory. Both

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Martingale decompositions and integration, in Section 2.5, which is due to Meyer. We give an elementary (but longer) demonstration and also sketch a shorter (but more sophisticated) argument based on Doléans-Dade signed measure representation of quasimartingales. This decomposition leads to stochastic integration with square integrable mart

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