The Mathematical Theory of Probabilities And Its Application to Frequency Curves And Statistical Methods
The Mathematical Theory of Probabilities And Its Application to Frequency Curves And Statistical Methods
Arne Fisher
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This is the method adopted by Lexis in investigating certain statistical series, and we shall re- turn to it In the following chapter. Lexis determines first in a direct manner the dispersion as defined by formula (11) from the statistical data as given by the number sequence a. This process is known as the direct process (by Lexis called a physical process) and gives a certain dispersion, tr. After this the dispersion is computed by an indirect (combinatorial) process under the assumption that... the series follows the Ber- noullian distribution. The ratio, a : ffg, which Charlier calls the Lexian Ratio and denotes by the symbol, L, may now give us an idea about the real nature of the statistical series as represented by the number sequence. When i = 1, the series is by Lexis called a normal series. When i > 1, the series is called hypernormal. When L
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