Member-only story

What is the difference between Probability Distribution Function and Cumulative Distribution Function?

Crystal X
2 min readSep 17, 2024

--

In an attempt to improve upon my data science skills, I have been studying statistics for a few years now. Statistics goes hand in hand with computer programming to the extent that the language I am most familiar with, Python, has a library devoted specifically to statistical functions, being statsmodels. In addition, Python’s scientific library, scipy, has numerous statistical functions in it.

The statistical functions that I am primarily concerned with at the time of this writing are distributions. When I began studying distributions, I thought there would be a handful of distributions that I would need to study but, boy was I wrong. Excel, a spreadsheet software, has about 15 distributions and scipy, Python’s scientific library, has a hundred or more!

Two fundamental concepts in the field of probability and statistics are:-

  1. Probability distribution function (PDF)
  2. Cumulative distribution function (CDF)

Both the PDF and CDF serve completely different purposes in the statistical process.

Probability distribution function (PDF)

The PDF describes the likelihood of a random variable taking on a specific value. It is used to…

--

--

Crystal X
Crystal X

Written by Crystal X

I have over five decades experience in the world of work, being in fast food, the military, business, non-profits, and the healthcare sector.

No responses yet