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Theorems invoked to evaluate the finiteness of a stopping time

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#probability-theory #measure-theory #stopping-times
99
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Maximising Score in Dice Game

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#probability #optimization #puzzle #dice #stopping-times
209
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Why is the Brownian Motion related to the Normal Distribution?

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#probability-theory #brownian-motion #stopping-times
44
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Probability of Some Discrete Walk Hitting a Boundary?

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#probability #combinatorics #stochastic-processes #random-walk #stopping-times
59
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Expected number of picks from normal distribution such that the sum exceeds ? Does the value converge?

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#probability-theory #normal-distribution #expected-value #laplace-transform #stopping-times
43
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Definition of stopping time

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#notation #stopping-times
28
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Product of stopping times in discrete time

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#probability-theory #stopping-times
59
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Stirling approximation of the probability that the stopping time is finite

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#stochastic-processes #approximation #martingales #random-walk #stopping-times
32
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First hitting time of biased random walk in 2 dimensions

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#probability #brownian-motion #random-walk #stopping-times
22
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If the stopping time is finite on the origin, it is finite for any other point, why?

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#stochastic-processes #random-walk #stopping-times
73
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Expected value of the exponential of a stopping time

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#stochastic-processes #expected-value #brownian-motion #martingales #stopping-times
62
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Expected value of the square of a stopping time

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#stochastic-processes #expected-value #brownian-motion #martingales #stopping-times
38
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Brownian motion and inverse hitting time

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#stochastic-processes #brownian-motion #stopping-times
39
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The distribution of the first hitting time for the Constant Elasticity of Variance process.

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#ordinary-differential-equations #stochastic-processes #stopping-times #hypergeometric-function #inverse-laplace
27
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Optional Stopping Theorem and Stopped $\sigma$-fields

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#probability-theory #stochastic-processes #martingales #stopping-times

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