Difference between pdf and cdf pdf#
Way of generate a PDF from discrete / continuous data:.Scale the $y$-axis by dividing with total number of data collected (data size) $\longrightarrow$ and this is called PMF.
Plot a histogram of the data for all the $x$'s, the $y$-axis is the frequency or quantity at every $x$.Way of generate a PMF from discrete data:.In later case, when resolution higher, the measurement is closer to analog/continuous signal/variable.The measurement is digitized machine data, which has no intermediate values between quantized levels due to sampling process.The measurement of a subject is naturally discrete type, such as numbers resulted from dice rolled, count of people.
Collected data appear as discrete when:.In terms of Acquisition and Plot Generation Method Distribution function is referred to CDF or Cumulative Frequency Function (see this).CDF for both discrete / continuous case.Probability for values less than $x$, $P(X Probability at certain $x$ value, $P(X = x)$ can be directly obtained in:.Both cases: Cumulative distribution function (CDF).Continuous case: Probability Density Function (PDF).Discrete case: Probability Mass Function (PMF).or probability mass function (PMF) (statement from Wikipedia).The probability distribution function / probability function has ambiguous definition.
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