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Een demonstratie van de centrale limietstelling *
Author(s) -
Sittig J.
Publication year - 1950
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1950.tb00419.x
Subject(s) - mathematics , combinatorics , dimension (graph theory) , distribution (mathematics) , discrete mathematics , mathematical analysis
Summary An demonstration of the Central Limit Theorem. For the dimension y of a screw‐plug cartridge fuse (fig. 1) the relation y = ‐a + b‐ c + d + e holds good, a, b, c, d, and e being certain dimensions of the component parts. Batches of components were sorted into two sub‐lots, each sub‐lot having a distribution truncated on one side (fig. 3). From one set of sub‐lots 300 sets of components were selected with the aid of random sampling numbers; these were assembled and the resultant dimension y of the assemblage observed. Despite the non‐normality of the distributions of the components the distribution of y is shown to be essentially normal:1 by computing β 1 ; 2 by plotting the cumulative distribution on arithmetic probability paper (fig. 4); and 3 by calculation of χ 2 (P = 0.32).