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AN EXACT FORMULA FOR THE SYMMETRICAL INCOMPLETE BETA FUNCTION WHERE THE PARAMETER IS AN INTEGER OR HALF‐INTEGER
Author(s) -
Saunders L.R.
Publication year - 1992
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1992.tb01358.x
Subject(s) - integer (computer science) , function (biology) , interpolation (computer graphics) , beta distribution , mathematics , series (stratigraphy) , beta (programming language) , discrete mathematics , mathematical optimization , computer science , statistics , artificial intelligence , motion (physics) , paleontology , evolutionary biology , biology , programming language
Summary A finite series for computing the symmetrical incomplete beta function with parameter q = 0.5, 1, 1.5, is derived. It is more efficient than existing algorithms for the general case, and obviates reference to the Pearson‐Johnson tables and subsequent interpolation. This is advantageous in applications to statistical quality assurance, especially in computer simulations of acceptance schemes.