Timeline for Markov property in simple random walk
Current License: CC BY-SA 3.0
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Mar 4, 2018 at 7:00 | comment | added | Paul | No worries... not like there’s carried interest :) | |
Feb 28, 2018 at 16:02 | comment | added | john_w | lol, sorry about the long wait to select your answer. It has almost been two years lol. | |
Feb 17, 2018 at 8:39 | vote | accept | john_w | ||
Dec 24, 2016 at 6:19 | history | bounty ended | CommunityBot | ||
Dec 19, 2016 at 5:35 | comment | added | Paul | @john w, if you think the answer was satisfactory, would you please consider selecting it as the correct answer? | |
Dec 18, 2016 at 20:16 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 19:26 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 19:01 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:46 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:39 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:30 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:25 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:12 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 18:02 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 16:52 | history | edited | Paul | CC BY-SA 3.0 |
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Dec 16, 2016 at 16:52 | comment | added | Paul | Hi John, thanks for the catch, I have edited accordingly. As for your first comment: you're right that I wasn't being very precise. In fact, the concept I am taking advantage of here is that of a filtration, which basically stands for the sum total of all information available up to time t. I will add a more detailed explanation of this to my answer. | |
Dec 16, 2016 at 7:05 | comment | added | john_w | Also sorry do you mean $T_1 = k$ instead of $T_1=n$ in your second "Probability" on the right-hand side of the Law of Total Expectation? | |
Dec 16, 2016 at 7:03 | comment | added | john_w | Hi Paul, the Markov Property I was reading says something above the conditional probability of $X_j$ where $X_j$ is the state of $X$ at time $j$. But it doesn't say anything about the "time that we First Reaches state s", i.e. it doesn't say whether $T_s$ exhibits Markov Property. But it seems the author is trying to say it is using "Markov Property" on the $T_s$. | |
Dec 16, 2016 at 5:44 | history | answered | Paul | CC BY-SA 3.0 |