Main
Main:
Random Variable
Random Variable
Defination:
(
)
is a function from to a real value
- Projecting the outcome to the space
X represents all the outcomes from an experiment - If outcomes in S are numerical, then keep X how they are (roll dice : 1,2,3,4,5,6…)
- if outcomes are categorical, then we want to assign some numbers to the outcomes. (coding : encoding )
- Type of random variables (Data)
A Function X( ) assign one and only one real number to each outcome of an outer space
Probability Density Funciton and cumulative distribution function(CDF)
Link to original
Discrete
- Numerically Discrete: outcome of rolling dice.
- Binary: outcomes Yes or no.
- Categorical: outcomes mutually exclusive categories.
- Ordinal*: categorical data that admits a natural numerical order.
Continuous Probability
Continuous