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Richard von Mises (1883-1953) |
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To start his career, he became
a professor of Applied Mathematics at the University of Strassburg,
Germany. Throughout his
educational experiences and career, he believed in the logical reasoning
of problems by using one’s past experiences.
He used this idea in his experiences in flight mechanics, other
teaching positions, and compiled numerous technical works, including his
founding of the journal Zeitschrift
für angewandte Mathematik und Mechanik.
Von Mises’ work in
engineering helped him view applied mathematics as the essential link
between theory and scientific observation.
This lead von Mises to analyze the field of statistics which is
related to probability. Not
satisfied with the vague status of probability, he tried to formalize
it. He started with Pierre
Laplace’s definition of a probability event because he believed it
worked with games of chance, but did not work in practical applications.
In 1909, he created two axioms in which probability must be based upon.
These are the axiom of convergence, "as a sequence of trials
is extended, the proportion of favorable outcomes tends toward a
definite mathematical limit" and the axiom of randomness, "the
limiting value of the relative frequency must be the same for all
possible infinite subsequences of trials chosen solely by a rule of
place selection within the sequence (i.e., the outcomes must randomly
distributed among the trials)" (Young, 1998, p. 490).
He continued his work on the subject and wrote a book in 1928
entitled Probability, Statistics
and Truth. He developed
many aspects of modern probability theory and thoroughly explained its
relationship to statistics. In 1939, Von Mises first proposed what we know today as the birthday problem. He wondered, "How many people must be in a room before the probability that some share a birthday, ignoring the year and leap days, becomes at least 50 percent?" We believe that this is one of the most explored probability problems in classrooms today. Additional
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#8: Picture reproduced from MacTutor History of Mathematics archive with permission. |