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- W2490085893 abstract "Since fractals are self-similar, it is often not useful to describe them in terms of an average size. Stating an average size does not capture what is interesting or noteworthy about the shape of a fractal object. This chapter considers a situation in which stating an average property is useless and mathematically ill-defined, and which shows that fractals are not just geometric objects but can also be used to describe processes that unfold in time. As a first example, it presents a simple game of tossing a coin, to illustrate what it means for something to possess an average. It then describes the St. Petersburg paradox, also known as the St. Petersburg game or lottery, and calculates the average winnings for this game." @default.
- W2490085893 created "2016-08-23" @default.
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- W2490085893 date "2012-08-09" @default.
- W2490085893 modified "2023-09-24" @default.
- W2490085893 title "When do Averages Exist?" @default.
- W2490085893 doi "https://doi.org/10.1093/acprof:oso/9780199566433.003.0020" @default.
- W2490085893 hasPublicationYear "2012" @default.
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