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Question on stat theory

  1. Jan 27, 2014 #1

    joshmccraney

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    hey pf!

    can someone help me understand why a pdf is defined in the following manner: [tex]\lim_{\substack{N\to \infty\\ \Delta c \to 0}}\frac{H(c,\Delta c,N)}{\Delta c}[/tex] where [itex]\Delta c[/itex] is the width, [itex]N[/itex] is the observation number? Specifically, why the divisor? why is this necessary? [itex]H[/itex] is a histogram.

    any insight is greatly appreciated!

    thanks!
     
    Last edited: Jan 27, 2014
  2. jcsd
  3. Jan 27, 2014 #2

    mathman

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    I'm not familiar with your notation. However, in general, the integral of a pdf must be 1, so I presume the division is to insure that this holds.
     
  4. Jan 27, 2014 #3

    joshmccraney

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    sorry, i was worried about being too vague, but i think youre right.
     
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