Accession Number : AD0668479

Title :   TABLES OF DISTRIBUTIONS OF QUADRATIC FORMS IN CENTRAL NORMAL VARIABLES I,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Johnson,N. L. ; Kotz,Samuel

Report Date : DEC 1967

Pagination or Media Count : 82

Abstract : The tables give values of the probability density and cumulative distribution functions of the random variable alpha sub 1 (U sub 1 squared) + alpha sub 2 (U sub 2 squared) + alpha sub 3 (U sub 3 squared) + alpha sub 4 (U sub 4 squared) where the U's are mutually independent unit normal variables, with the alpha's satisfying the condition alpha sub 1 + alpha sub 2 + alpha sub 3 + alpha sub 4 = 4. The tables include sets of alpha values from (2.5, 0.7, 0.4, 0.4) to (1.1, 1.1, 0.9, 0.9) in all 36 sets of alpha values. The tabulated values shown to five decimal places are based on original calculations which should have an error less than 1 in the eighth decimal place. (Author)

Descriptors :   (*PROBABILITY DENSITY FUNCTIONS, TABLES(DATA)), (*DISTRIBUTION FUNCTIONS, TABLES(DATA)), MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS), PROBABILITY, RANDOM VARIABLES, SERIES(MATHEMATICS)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE