Difference between revisions of "Probability mass function"
Jump to navigation
Jump to search
m |
DavidB4-bot (talk | contribs) (→top: clean up & uniformity) |
||
| (3 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
| − | In [[probability theory]], a ''probability mass function'' | + | In [[probability theory]], a '''probability mass function''' (''p(x)'') is a real-valued function of a discrete variable (''x''), such that the value ''p(x<sub>k</sub>)'' is the probability of the variable ''x'' having the value x<sub>k</sub>. |
In order to qualify, such a function must meet the following criteria: | In order to qualify, such a function must meet the following criteria: | ||
| − | <math>p(x_{k}) \geq 0 | + | *<math>p(x_{k}) \geq 0; \forall x </math> |
| + | *<math>\sum_{k} p(x_{k}) = 1 </math> | ||
| + | The collection of pairs ( x<sub>k</sub> , p(x<sub>k</sub>) ) is the [[discrete]] [[probability distribution]] of ''x''. | ||
| − | + | [[Category:Probability and Statistics]] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | [[Category: | ||
Latest revision as of 17:52, July 13, 2016
In probability theory, a probability mass function (p(x)) is a real-valued function of a discrete variable (x), such that the value p(xk) is the probability of the variable x having the value xk.
In order to qualify, such a function must meet the following criteria:
- <math>p(x_{k}) \geq 0; \forall x </math>
- <math>\sum_{k} p(x_{k}) = 1 </math>
The collection of pairs ( xk , p(xk) ) is the discrete probability distribution of x.