Régime des chambres de commerce

An Introduction to the theory of statistics

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Monograph

Identifikator:: 834582015

URN:: urn:nbn:de:zbw-retromon-77707

Document type:: Monograph

Title:: Régime des chambres de commerce

Place of publication:: Paris

Publisher:: Libr.-impr. réunies

Year of publication:: 1894

Scope:: 1 Online-Ressource (390 S)

Collection:: Economics Books

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: THEORY OF STATISTICS. Nelumbiwm, Pearl, American Naturalist, Nov. 1906). The question arises,” therefore, why, in such cases, the distribution should be approximately normal, a form of distribution which we have only shown to arise if the variable is the sum of a large number of elements, each of which can take the values 0 and 1 (or other two constant values), these values occurring independently, and with equal frequency. In the first place, it should be stated that the conditions of the deduction given in § 9 were made a little unnecessarily restricted, BOO =. me mo, . 7200, 3 | ~ 900+ 3 0 a 6 ) 3 3 300 0 Sy rd 56 38 60 62 ov 66 Wa 70 Wz WI NNUNs £0 Stature tn inches, Fig. 49.—The Distribution of Stature for Adult Males in the British Isles (fig. 6, p. 89), fitted with a Normal Curve: to avoid confusing the figure, the frequency-polygon has not been drawn in, the tops of the ordinates being shown by small circles. with a view to securing simplicity of algebra. The deduction may be generalised, whilst retaining the same type of proof, by assuming that p and ¢ are unequal (provided p—g¢ be small compared with Jpg, of. § 3), that p and ¢ are not quite the same for all the events, that all the events are not quite inde- pendent, or that » is not large, but that some sort of continuous variation is possible in the values of the elementary variables, these being no longer restricted to O and 1, or two other discrete values. (Cf. the deduction given by Pearson in ref. 13.) Pro- ceeding further from this last idea, the deduction may be rendered 306

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