Role in Statistical Teaching and Theory
The probabilistic and statistical properties of coin-tossing games are often used as examples in both introductory and advanced text books and these are mainly based in assuming that a coin is fair or "ideal". For example, Feller uses this basis to introduce both the idea of random walks and to develop tests for homogeneity within a sequence of observations by looking at the properties of the runs of identical values within a sequence. The latter leads on to a runs test. A time-series consisting of the result from tossing a fair coin is called a Bernoulli process.
Read more about this topic: Fair Coin
Famous quotes containing the words role, teaching and/or theory:
“The trouble is that the expression ‘material thing’ is functioning already, from the very beginning, simply as a foil for ‘sense-datum’; it is not here given, and is never given, any other role to play, and apart from this consideration it would surely never have occurred to anybody to try to represent as some single kind of things the things which the ordinary man says that he ‘perceives.’”
—J.L. (John Langshaw)
“If we focus exclusively on teaching our children to read, write, spell, and count in their first years of life, we turn our homes into extensions of school and turn bringing up a child into an exercise in curriculum development. We should be parents first and teachers of academic skills second.”
—Neil Kurshan (20th century)
“every subjective phenomenon is essentially connected with a single point of view, and it seems inevitable that an objective, physical theory will abandon that point of view.”
—Thomas Nagel (b. 1938)