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Does any case exist where non-random initial population improves the genetic algorithm result?

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#optimization #stochastic-processes #algorithms #stochastic-calculus
457
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Deriving the Pollaczek-Khintchine formula for the mean number in system in a $M/G/1$ queue.

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#stochastic-processes #markov-chains #queueing-theory
303
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Prove $X_t = {W_t}^3 - 3\int^{t}_{0} W_s \, ds$ is a martingale using definition

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#probability #stochastic-processes #stochastic-calculus #brownian-motion
98
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Computing the integral of a renewal process at a renewal time.

Published on
#probability-theory #stochastic-processes #renewal-processes
66
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Stochastic process: boundary condition

Published on
#stochastic-processes #markov-chains
46
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Introducing new distribution, notation question

Published on
#probability #stochastic-processes #notation
16
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Parameter satisfying martingale properties

Published on
#stochastic-processes #martingales #random-walk
249
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Is this stopping time $\tau = \inf\{ t \ge 0: B(t) \in \{-a, b\}\}$ bounded?

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#stochastic-processes #stochastic-calculus #brownian-motion #martingales #stopping-times
84
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Exercice about Kolmogorov forward equation and probability-generating function

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#probability-theory #stochastic-processes #markov-process
199
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Expected transition time for a infinite state space DTMC

Published on
#stochastic-processes #markov-chains #birth-death-process
112
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$B_t$ has same law of $-B_t$

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#probability-theory #stochastic-processes #normal-distribution #brownian-motion
58
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Brownian motion and stopping times - Check that two events are the same

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#probability-theory #stochastic-processes #brownian-motion #stopping-times
492
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Exercise on stopping time

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#probability-theory #stochastic-processes #stopping-times
44
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What is the correlation between $2$ Brownian motions at time $t_1$ and $t_2?$ Assume that they are jointly normal with correlation $\rho.$

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#probability #stochastic-processes #stochastic-calculus #brownian-motion
486
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Uniformly integrability and convergence of expectation

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#probability-theory #stochastic-processes #random-variables #expected-value

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