central limit theorem
C22723
concept
The central limit theorem states that, under broad conditions, the sum (or average) of a large number of independent, identically distributed random variables tends to follow a normal distribution, regardless of the original variables’ distribution.
All labels observed (2)
| Label | Occurrences |
|---|---|
| central limit theorem canonical | 1 |
| central limit theorem variant | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: central limit theorem
Generated description
The central limit theorem states that, under broad conditions, the sum (or average) of a large number of independent, identically distributed random variables tends to follow a normal distribution, regardless of the original variables’ distribution.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Lindeberg–Feller central limit theorem | — |
| Lyapunov central limit theorem | central limit theorem variant |