bourgeois 发表于 2025-3-23 09:51:30

Conditional Probability and Independence,another . die were thrown, and their total score was four. Then you could be sure that the score on the blue die was not six. Similarly, to be told that the total score was ten makes it more likely that the blue die scored six, as all scores lower than four are eliminated. Information about the tota

fluoroscopy 发表于 2025-3-23 17:46:23

Sums of Random Variables,d notation in an analysis, are often a long stride towards the solution. In modelling random phenomena, we may find that . is either naturally the sum of other quantities ..,..,…,.., or can be conveniently written as such a sum. Especially when the components of this sum are independent, we can take

Commemorate 发表于 2025-3-23 18:02:31

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才能 发表于 2025-3-24 01:05:32

Stochastic Processes in Discrete Time, Examples include the size of our capital after a series of investments in the stock market, or other casinos; the accumulated number of points of a football team during the season; a student’s Grade Point Average as she progresses through college; your own weight as you strive for the target you se

palpitate 发表于 2025-3-24 05:01:28

Stochastic Processes in Continuous Time, exact probabilities and limiting values for a process having the Markov property, i.e. knowing the current state, we can ignore the path to that state. Similarly, in continuous time, it is a great mathematical convenience to assume this Markov property. We begin by looking at continuous time Markov

Concomitant 发表于 2025-3-24 08:47:34

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粗糙滥制 发表于 2025-3-24 14:42:27

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演绎 发表于 2025-3-24 16:39:08

John Haightion quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featur

增减字母法 发表于 2025-3-24 21:26:52

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Palpitation 发表于 2025-3-24 23:55:41

John Haightion quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featur
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