# Law of small numbers

Appearance

**Law of small numbers** may refer to:

*The Law of Small Numbers*, a book by Ladislaus Bortkiewicz- Poisson distribution, the use of that name for this distribution originated in the book
*The Law of Small Numbers*

- Poisson distribution, the use of that name for this distribution originated in the book
- Hasty generalization, a logical fallacy also known as the law of small numbers
- The tendency for an initial segment of data to show some bias that drops out later, one example in number theory being Kummer's conjecture on cubic Gauss sums

- The strong law of small numbers, an observation made by the mathematician Richard K. Guy: "There aren't enough small numbers to meet the many demands made of them."

## See also

[edit]- Law of large numbers, a theorem that describes results approaching their average probabilities as they increase in sample size. (
*Hasty generalization*is the mistaken application of this law to small data sets.) - Law of anomalous numbers (also called first-digit law and (Newcomb–)Benford law), an observation about the frequency distribution of leading digits in many real-life sets of numerical data.
- Pigeonhole principle, the occurrence of mathematical coincidences