
Accession Number : AD0420434
Title : THE DOUBLY NONCENTRAL FDISTRIBUTION EXPRESSED IN FINITE TERMS,
Corporate Author : MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
Personal Author(s) : Price,Robert
Report Date : 13 SEP 1963
Pagination or Media Count : 56
Abstract : There is an attempt to provide new, explicit and exact formulas for the doubly noncentral Fdistribution, defined as the cumulative distribution function, where the numbers of degrees of freedom of the chisquare variates need not be equal, but are restricted to be either both even or both odd. The formula for the eveneven case is considerably simpler in structure than that for the oddodd case, although the former involves Bessel functions where the latter contains errorfunctions. Therefore, at least for high degreenumbers it may be more convenient to try interpolation (between the degreenumbers) on numerical results obtained from the eveneven formula when dealing with oddodd cases, than to use the oddodd formula directly. Mixed cases, where one degreenumber is even and the other is odd, do not at present appear susceptible of analysis, so that here interpolation offers the only hope short of literal numerical integration. (Author)
Descriptors : (*STATISTICAL FUNCTIONS, STATISTICAL ANALYSIS), SERIES(MATHEMATICS), FUNCTIONS(MATHEMATICS), SPECIAL FUNCTIONS (MATHEMATICAL), BESSEL FUNCTIONS, PROBABILITY, NUMERICAL INTEGRATION, INTEGRALS, EQUATIONS, COMBINATORIAL ANALYSIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE