標(biāo)題: Titlebook: Probability Theory; A Comprehensive Cour Achim Klenke Textbook 2020Latest edition The Editor(s) (if applicable) and The Author(s), under ex [打印本頁] 作者: Myelopathy 時間: 2025-3-21 19:58
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
作者: 規(guī)章 時間: 2025-3-21 20:49 作者: 脊椎動物 時間: 2025-3-22 02:22
Infinitely Divisible Distributions,normal distribution is the limit of . sums of independent and identically distributed random variables (central limit theorem). In the second section, we investigate briefly which subclass of the infinitely divisible measures on the real line shares this property.作者: placebo 時間: 2025-3-22 07:41 作者: Hla461 時間: 2025-3-22 11:44 作者: 萬靈丹 時間: 2025-3-22 13:00
Independence,ion on the integer lattice): using independent coin flips the individual bonds in the lattice are either kept or deleted. The question of interest is whether there is an infinite connected component or not.作者: 無表情 時間: 2025-3-22 20:48 作者: 沙文主義 時間: 2025-3-22 22:09
Backwards Martingales and Exchangeability,random. At the second stage, i.i.d. random variables with distribution . are implemented..We first define the notion of exchangeability. Then we consider backwards martingales and prove the convergence theorem for them. This is the cornerstone for the proof of de Finetti’s theorem.作者: chemical-peel 時間: 2025-3-23 05:25
Markov Chains,mber of returns to the origin of simple random walk on multidimensional integer lattices..The connection with discrete potential theory will be investigated later, in Chap. .. Some readers might prefer to skip the somewhat technical construction of general Markov processes in Sect. 17.1.作者: 遺忘 時間: 2025-3-23 09:04 作者: 租約 時間: 2025-3-23 12:09 作者: TATE 時間: 2025-3-23 17:25 作者: MAPLE 時間: 2025-3-23 20:03
Convergence Theorems,lmost sure convergence, convergence in measure and convergence of integrals..The key role for connecting convergence in measure and convergence of integrals is played by the concept of uniform integrability..In particular, we study Lebesgue’s dominated convergence theorem and conditions for interchangeability of derivative and integral.作者: exigent 時間: 2025-3-23 23:54
Conditional Expectations,en generalize to conditional probabilities and expectations given (the information of) a .-algebra. Finally, we consider the concept of the regular version of the distribution of a random variable given a .-algebra.作者: extinguish 時間: 2025-3-24 02:38
Martingales,es and the discrete stochastic integral as well as the martingale representation theorem and the stability theorem for discrete martingales..We close with an application to a model from mathematical finance.作者: 荒唐 時間: 2025-3-24 07:20
Optional Sampling Theorems,e results for submartingales and supermartingales, in the first section, we start with a decomposition theorem for adapted processes. We show the optional sampling and optional stopping theorems in the second section. The chapter finishes with the investigation of random stopping times with an infinite time horizon.作者: 偏狂癥 時間: 2025-3-24 11:34
Martingale Convergence Theorems and Their Applications, almost surely. Furthermore, the martingale structure implies ..-convergence under assumptions that are (formally) weaker than those of Chap. .. The basic ideas of this chapter are Doob’s inequality (Theorem 11.2) and the upcrossing inequality (Lemma 11.3).作者: Mast-Cell 時間: 2025-3-24 16:23
Markov Chains and Electrical Networks,application, we prove the statement that if such a graph random walk is recurrent, then it is recurrent also on each subgraph. (Although this statement is rather plausible, it is hard to show by different means.) In particular, the graph random walk on a percolation cluster of the planar integer lattice is recurrent.作者: 不能根除 時間: 2025-3-24 18:59 作者: 鉆孔 時間: 2025-3-25 00:51
Convergence of Measures,s on general (mostly Polish) spaces and derive the fundamental properties. The reader will profit from a solid knowledge of point set topology. Thus we start with a short overview of some topological definitions and theorems.作者: 幼稚 時間: 2025-3-25 05:47 作者: Inferior 時間: 2025-3-25 08:42
Achim Klenke rewiring process. It shows that a small average distance works against fractal scaling, and also demonstrates that fractality is not a dichotomous property, continuous transition can be observed between the pure fractal and non-fractal characteristics.作者: 箴言 時間: 2025-3-25 13:36 作者: 聯(lián)想記憶 時間: 2025-3-25 17:26 作者: 常到 時間: 2025-3-25 22:01
Achim Klenkef the resulting structures, and then, assess the quality of the retrieved modules from a biological point of view using available annotated species’ biological functions. Finally, we apply a multilayer community detection algorithm on multilayer networks, where each layer is an individual yeast netw作者: 膠水 時間: 2025-3-26 03:20
Achim Klenkelarity decreased. We show that even though EEG and fMRI functional connectomes are slightly linked, the two modalities essentially capture different information over time, with most but not all topology being explained by the underlying spatial embedding.作者: Germinate 時間: 2025-3-26 06:08
Achim Klenkeactions which are different depending on whether they are in-group or out-group, has quantifiable impact on the resulting polarization of a population. In particular, the tolerance toward out-group opinions is shown to have a strong impact on the resulting polarization. Our model produces and accoun作者: 阻礙 時間: 2025-3-26 11:03 作者: PALL 時間: 2025-3-26 12:43
Achim Klenkearky and unilateral trade, that is, a one-directional flow from one region to the other. Following these contributions and guided by the empirical evidence, we clarify the relationship between market competition, trade costs and the patterns of trade in a three-region NEG model. We identify a larger作者: 斗志 時間: 2025-3-26 20:04 作者: 的事物 時間: 2025-3-26 22:09 作者: connoisseur 時間: 2025-3-27 05:01 作者: Lucubrate 時間: 2025-3-27 08:14
Achim Klenkerototypical or small graph that is generated using the same model. The exact distribution itself depends on the graph model. A normalized random walk betweenness (NRWBC), that counts each walk passing through a vertex only once, is also defined. This measure is argued to be more useful and robust an作者: Exaggerate 時間: 2025-3-27 12:31 作者: PLAYS 時間: 2025-3-27 15:33 作者: FIR 時間: 2025-3-27 18:58