Understanding PDF Definition in Stat Theory | Question on Divisor & Histogram

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hey pf!

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

any insight is greatly appreciated!

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

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