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Home/ NYU Probability Summer 2009/ Contents contributed and discussions participated by Matthew Leingang

Contents contributed and discussions participated by Matthew Leingang

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For Today's Graduate, Just One Word - Statistics - NYTimes.com - 0 views

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    This is for those who wondered what a degree in math can get!
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    The rising stature of statisticians, who can earn $125,000 at top companies in their first year after getting a doctorate, is a byproduct of the recent explosion of digital data. In field after field, computing and the Web are creating new realms of data to explore - sensor signals, surveillance tapes, social network chatter, public records and more. And the digital data surge only promises to accelerate, rising fivefold by 2012, according to a projection by IDC, a research firm.
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Glen Whitney's quest for a math museum : The New Yorker - 0 views

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    Not so much relevant to probability but a nice story and it mentions an NYU professor.
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Baseball Research Veers Into Left Field - WSJ.com - 0 views

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    When baseball dubbed shortstop Harold Reese "Pee Wee" and first basemen Fred Merkle "Bonehead," they probably weren't trying to lengthen the players' lives. But according to researchers at Wayne State University, major-league players who have nicknames live 2½ years longer, on average, than those without them. The nickname findings are part of the wide-ranging and often arcane academic research that deals with the national pastime. In another study, we learn that players whose first or last name begins with "K" strike out more than those without "K" initials. And in case you were wondering, research finds Democrats support the designated-hitter rule more than Republicans.
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Stupid Math Tricks - 0 views

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    I have no Erdos number as I have not published any joint papers. Also, I'm offended with the slander against Kevin Bacon as a "not too well known American actor." Have you ever heard of Footloose?
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Illustrating Bertrand's Paradox with GeoGebra | Matthew Leingang - 0 views

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    I spiffed up and posted the GeoGebra worksheet if you're interested.
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    Bertrand's Paradox is a question in continuous probability that shows the perils of uniformly distributed variables. The question is simple: given a random chord in a circle, what's the probability that it's longer than the side length of an equilateral triangle inscribed in that circle?
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Bertrand's paradox (probability) - Wikipedia, the free encyclopedia - 0 views

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    What's the length of a random chord in a circle? It turns out that even if you try to distribute the chord uniformly there is an ambiguity.
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Standard Normal Table - 1 views

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    the data, pure and simple
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Some Really Hard Probability Problems - 0 views

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    That's a great idea. First, try it for specific values of n. If n=1, then the number of heads is even if it's 0, so P(even) = 1-p. If n=2, you could have 0 or 2 heads, so P(even) = (1-p)^2 +p^2 = 1-2p. Obviously there's going to be some kind of binomial identity, but what?
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    OK, I now know two ways to solve this. The first way was along the lines you described in the break to me, Sam. It makes more sense than I originally thought, and with your Discrete Math knowhow you might be able to solve it. There's also a clever way, which I admit I didn't figure out until I solved it the other way.
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    That's a great list of problems btw!
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Stirling's approximation - Wikipedia, the free encyclopedia - 0 views

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    Far More Than You Ever Wanted To Know about where this formula comes from.
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    Stirling's approximation is for n! in terms of continuous functions.
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Lifelong debunker takes on arbiter of neutral choices - 0 views

  • A decade later, in 2002, a large manufacturer of card-shuffling machines for casinos summoned Diaconis to determine whether their new automated shufflers truly randomized the deck. (They didn't.)
    • Matthew Leingang
       
      I saw him talk about this. It was fascinating, especially when you consider that the problem is computationally very hard. The number of "shuffles" (permutations of a 52-card deck) exceeds the number of atoms in our galaxy, so it's impossible to build a computer with that much memory.
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    Great article. Everything I've been saying about Diaconis I learned through oral tradition. It's good to know I was pretty much right on.
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Twin - Wikipedia, the free encyclopedia - 0 views

  • The twin birth rate in the United States in 2004, 2005 and 2006 was slightly above 32 twin live births per 1,000 live births
  • The twin birth rate in the United States in 2004, 2005 and 2006 was slightly above 32 twin live births per 1,000 live births[2].
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Probability and Poker - 0 views

    • Matthew Leingang
       
      I think royal flush is just another name for a straight flush that consists of the face cards. It's not usually distinghuished from other straight flushes. But it is the least probable hand!
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Bayesian spam filtering - Wikipedia, the free encyclopedia - 0 views

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    How Bayes's Theorem can be used to decide if mail is spam or not.
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BRIDGE; BETTING WITH THE ODDS - The New York Times - 0 views

  • the second Earl of Yarborough offered an interesting bet to his whist-playing friends: a thousand to one against them picking up a hand with no card above a nine. Mathematics was on his side since the odds are 1,827 to 1. There is no record that he ever paid off.
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    NY Times article about bridge and probability
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    Unfortunately, the rest of the column is full of bridge jargon and I don't play. This is like NASCAR for nerds.
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Products - Life Tables - Homepage - 0 views

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    Data on the portion of individuals surviving to various ages broken down by sex, race, and other factors.
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The Mathematics of Magic: The Gathering - 0 views

    • Matthew Leingang
       
      Interesting point. I think there's a lot of math behind designing any popular game involving chance. For instance, legend has it the game High-Ho Cherry-O! was engineered to make the expected game length about equal to the attention span of the children playing it. Here you have a case of designers not understanding the game they were developing. Casino games seem simple enough to attract interest (and pay often enough to keep it) but still manage to benefit the house.
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The Oracle of Bacon - 0 views

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    Just for fun, you can play around with this.
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Parimutuel betting - Wikipedia, the free encyclopedia - 0 views

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    Describing the system by which money is won and odds are calculated in horse racing and large-prize lottery games.
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Social Bookmarking in Plain English - Common Craft - Our Product is Explanation - 0 views

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    The application used here is del.icio.us and not diigo but the way it's used is exactly the same. So it should help if you're unclear on this concept still.
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    Quick video overview of social bookmarking with del.icio.us.
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