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Renewals and Repeats 3 | This too Will Pass
https://probability101.wordpress.com/2010/12/27/renewals-and-repeats-3
This too Will Pass. Renewals and Repeats 2. Renewals and Repeats 3. December 27, 2010. So far we have just presented a lot of properties of theorems about renewal processes. This isn’t that much of an issue but examples are always nice. Suppose that buses arrive at a station at times. Buses in this example are always on time an can hold an infinite number of people). Additionally, suppose that passengers arrive according to a Poisson process with rate. What is average waiting time per passenger? Now supp...
Renewals and Repeats 2 | This too Will Pass
https://probability101.wordpress.com/2010/12/26/renewals-and-repeats-2
This too Will Pass. Renewals and Repeats 3 →. Renewals and Repeats 2. December 26, 2010. Near the closing of the previous post, the functions. Were introduced. The form. Is not all that useful when you want to do explicit calculations. It should be noted that when. Is a Poisson process, the calculation of. Is rather simple, but in other situations this is not the case. Recall that from the post on expected value, we can write. Therefore, we can rewrite the expression for. Are independent, and therefore,.
Ito Integral | This too Will Pass
https://probability101.wordpress.com/2011/01/31/ito-integral
This too Will Pass. More Ito →. January 31, 2011. It just hit me that I don’t have a post on the Ito Integral. It is the integral of choice for financial mathematics, plus it’s pretty interesting. For the rest of the post we will let. Denote Brownian motion, unless otherwise stated. Furthermore, let. Be a filtration, and. As the stock/asset price at time. Is our position (number of stocks we own), then for a fixed. There are a few things that should be mentioned before we continue. First of all,. Yes, te...
The Island | This too Will Pass
https://probability101.wordpress.com/2011/01/22/the-island
This too Will Pass. Ito Integral →. January 22, 2011. I was introduced to a new band Sleigh Bells…but you don’t want to hear about. So I’ll get back to the math talk. Today I’m going to talk about a brainteaser, that I’m sure you have heard before, and if not you will like. Here is one version of the puzzle statement, that I got from my friend at TerminalOfPuzzle. Who, if anyone, leaves the island and when? People with blue eyes and. People with green eyes. What happens now? The answer to the first two a...
Maximum Value | This too Will Pass
https://probability101.wordpress.com/2011/01/18/maximum-value
This too Will Pass. The Island →. January 18, 2011. Recently I have been getting a lot of visits (well what I consider a lot) to this blog because of the Knapsack Problem. Since this seems to be so popular, and people don’t want to go to Wikipedia, I suppose I will dedicate at least one post to the topic. Suppose that you have a collection of objects. For those of you that are more mathematically inclined, and want to see the short version of the problem, here it is;. Means that you choose to take object.
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Beauty: June 2010
http://risky-math.blogspot.com/2010_06_01_archive.html
In mathematics you don't understand things. You just get used to them." - Johann von Neumann. Saturday, June 12, 2010. I now have a blog that I will be devoting to all things probability. Http:/ probability101.wordpress.com. Original thoughts provided by Nick. Subscribe to: Posts (Atom). Graduate student studying Operations Research. View my complete profile. Other Blogs Worth Reading. A Computer Scientist in a Business School. Stuff White People Like. Tricks and Thinks (French). Books I Wish to Own.
June | 2010 | Thoughts on my Mind
https://putnam120.wordpress.com/2010/06
Thoughts on my Mind. June 12, 2010. Posted by putnam120 in Uncategorized. As mentioned in my previous post I now have a blog devoted to probability. Well it is finally up an operational and the url is. Http:/ probability101.wordpress.com. June 10, 2010. Posted by putnam120 in Uncategorized. I recently (about a month ago) ordered Stochastic Calculus for Finance 2: Continuous-time Models. I’ve decided that I will. Currently a student. There isn't much more that I am willing to freely share online.
New Start Up | Thoughts on my Mind
https://putnam120.wordpress.com/2010/06/12/new-start-up
Thoughts on my Mind. June 12, 2010. Posted by putnam120 in Uncategorized. As mentioned in my previous post I now have a blog devoted to probability. Well it is finally up an operational and the url is. Http:/ probability101.wordpress.com. No comments yet — be the first. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. A Fix on the Mistake.
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This too Will Pass | almost surely
This too Will Pass. March 1, 2011. Last time I introduced the Ito integral. Here’s are some of the key facts that were mentioned:. Here are some other results that wasn’t mentioned last time (and won’t be proven here) but it very important. Is a “nice” function, and you want to evaluate. As we saw last time the answer might not be what you expect. So how do we get around this? This is where the Ito-Doeblin formula comes to the rescue. Be a function such that. Are continuous. Then we have that. This is kn...
Probably Probability
Tuesday, July 24, 2007. At a 4-D lottery counter, Johnny wants to buy his lucky number "3791" and Samuel wants to bet on his unique number "0000". Johnny feels that Samuel is wasting his money as his number is very unlikely to win. Do you agree with him? Wednesday, July 18, 2007. Monday, July 16, 2007. Two dice are rolled and the numbers obtained are added up. You are to bet whether the sum is small (1, 2, 3, 4), medium (5, 6, 7, 8) or large (9, 10, 11, 12). Where should you place your bet?
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The Game-Theoretic Probability and Finance Project
The Game-Theoretic Probability and Finance Project. The project started from the book "Probability and Finance: It's Only a Game". Subsequent to the publication of this book, the RutgersRoyal Holloway research group led by Shafer and Vovk has posted over 50 working papers on game-theoretic probability and finance on this page. This page is maintained by Vladimir Vovk. Last modified on 4 February 2018.
