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Distributions

From Unit B-8:

The distribution of the time or distance between occurrences in a Poisson process follows the exponential distribution (see Unit B-10) . The number of occurrences in a given space or time, t, follows the Poisson distribution, with expected value lt.

Caution: l is used both for the rate in a Poisson process and for the expected value in the Poisson distribution (where, if you like, it is assumed that t = 1).

Perfectly clear?

Arghh!

Oh, and by the way?

It is important to note that the Poisson distribution follows an exponential distribution when it assumes the separation between occurrences.

Got it? It’s important. To note.

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28 comments to Distributions

  • FbL

    Clear as mud. :D But then again, I’m just a simple musician.

    Thought you were supposed to be done with the stats class by now…

  • lex

    You thought right. Which doesn’t by itself, you know: Make it true.

    Feh.

  • Ow Ow Ow.

    I remember that pain. Never could figure out what it had to do with fish, though.

  • FbL

    Awww, poor Lex. :( It’s even less fun when you’re still doing a miserable project after the date that was to mark your freedom from it. Yuck!

    *sending coffee and cookies to help*

    Keep on plowing through it! :)

  • badbob

    “Poisson process” ?

    Is that a French cooking thing?

    Some things must be memorized and discarded upon completion of the painfull..like those inane facts you had to memorize at boat school.

    B2

  • Dan

    “…she walks, she talks, she’s full of chalk…”

  • lex

    “Sir, sir is a subserviant word surviving from the surly days in old Serbia, where certain serfs, to ignorant to remember their lord’s names, but too servile to blaspheme them, circumvented the situation by surrogating the subserviant word “sir” by which I now belatedly address a certain senior cirriped who correctly surmised that I was syrupy enough to say ‘Sir’ after every word I said, Sir.”

    Ack, spfft! baby.

  • cin

    Sadly the math gene skipped me and was installed in my daughter. I had to go to Mathworld for a translation. It didn’t help when I saw hilighted words such as: exponential polynomial, skewness, and kurtosis. I’ll bet those Sudoku puzzles look pretty good by comparison. Heading to the Advil now.

  • Stats… isn’t that just another way to lie with numerical support?

  • Bucky Katt

    Heh..well when test time comes..just remember
    “When in doubt Charlie out”. At least on multiple choice! :)

  • AFSister

    …and that, folks, is exactly why I deal with REAL numbers, and not the pull-em-out-of-your-ass ones.

  • Dan

    Do you mean to tell me the negative square root of pie divided by negative infinity isn’t real?!?!?!

  • AFSister

    Dan,
    Isn’t that like saying “Punch Buggy- No Punch Backs…. INFINITY!”

    It just neeeeever works.

  • Bill

    Thank Goodness this wasn’t in vogue when we learned how to go to the Moon.

  • FbL

    Not being a military brat (just a plain brat), I had to google that quote about “sir” (googled “a certain senior cirriped”). I found only two references. One was was… ahem…

  • FbL

    Oops! Didn’t like my html. Should be:

    One was… ahem… particularly interesting.

  • FbL

    Still not working. Hmmm, I think someone’s trying to tell me something.

    Okay, I give up. Wouldn’t want to be accused of corrupting a bunch of military men, ya know… ;)

  • lex

    ‘cos that would be hard to do.

    Hard. Heh.

  • FbL

    *rolling eyes* Men.

    Or in this case… immature teenage boys. ;)

  • That’s excellent, skipper… Now, tell us about milk…

  • lex

    The memory. It’s the second thing to go. And anyways, I never was much of a plebe.

    Believe that or don’t. ;-)

  • Dan

    O I’ve got Reef Points right here with me, but let’s see what I can do:

    “Sir she walks, she talks, she’s full of chalk. The lacteal fluid of the female of the bovine species is highly prolific to the 2010th degree, sir!”

  • lex

    Reef Points, is it? Good lad, yourself Dan!

  • MajMike

    you squids even stole OUR chalk talk??

    (and is that a crass mass of brass and class you’re wearing?)

  • Masked Menace?ɂ

    What? It’s perfectly understandable to me?

  • Dan

    Yes sir! A bunch of plebes told me to buy a copy while I was there and to start getting some basic stuff down. One of the other Navy students I’m with and I set up a workout routine with each other and on Sundays, instead of working out, we’re gonna spend and hour memorizing different things of Reef Points. Just gotta make sure not to bilge anyone come June!

    Anyway, working out starts tomorrow, 6:15 AM for some a mile and a half run and some pushups and situps!

  • Bob Marley

    thats “extracted from the female of the bovine species” by the way. I find the Reef Point phrases rather entertaining. Especially the one regarding chronometers…

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