Titlebook: Probability Theory; A Comprehensive Cour Achim Klenke Textbook 20081st edition Springer-Verlag London 2008 Probability theory.Random variab

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書目名稱Probability Theory影響因子(影響力)




書目名稱Probability Theory影響因子(影響力)學(xué)科排名




書目名稱Probability Theory網(wǎng)絡(luò)公開度




書目名稱Probability Theory網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Probability Theory被引頻次




書目名稱Probability Theory被引頻次學(xué)科排名




書目名稱Probability Theory年度引用




書目名稱Probability Theory年度引用學(xué)科排名




書目名稱Probability Theory讀者反饋




書目名稱Probability Theory讀者反饋學(xué)科排名

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Springer-Verlag London 2008

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GIBE

Independence,ter the realm of probability theory exactly at this point, where we define independence of events and random variables. Independence is a pivotal notion of probability theory, and the computation of dependencies is one of the theory’s major tasks.

Indent

The Integral,ralises the Lebesgue integral that can be found in textbooks on calculus. Furthermore, the integral is a cornerstone in a systematic theory of probability that allows for the definition and investigation of expected values and higher moments of random variables.

抵消

Moments and Laws of Large Numbers,typical approximate value of the arithmetic mean (. + … + .)/. of i.i.d. random variables (law of large numbers). In Chapter 15, we will see how the variance determines the size of the typical deviations of the arithmetic mean from the expectation.

不透明

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Martingales,st lay the foundations for the treatment of general stochastic processes. We then introduce martingales and the discrete stochastic integral. We close with an application to a model from mathematical finance.

頑固

Markov Chains,y of real-world phenomena can be modelled. We give an introduction to the basic concepts and then study certain examples in more detail. The connection with discrete potential theory will be investigated later, in Chapter 19. Some readers might prefer to skip the somewhat technical construction of general Markov processes in Section 17.1.

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