Continuous Distributions
Discrete Distributions:
Other Probability Functions:
Probability Distribution Functions:
- Discrete Probability Functions:
- Probability Mass Function (PMF): These functions are used for calculating the probability of discrete values in a given distribution.
- Cumulative Mass/Density Function(CMF/CDF): It is the cumulative probability calculated over PDF/PMF i.e. summation of all probabilities associated with a comparatively lower value.
- Continuous Probability Functions:
- Probability Density Function (PDF): It defines a probability distribution for a continuous random variable as opposed to a discrete random variable(as in PMF). PDF’s value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
- Continuous & Discrete Probability Functions:
- Cumulative Distribution Function (CDF): Describes the probability distribution of random variables, having values less than or equal to x.
Cumulative functions sum the total likelihood up to a certain point point.