THE FIRST TWO MOMENTS OF THE RECIPROCAL OF THE POSITIVE HYPERGEOMETRIC VARIABLE,
Abstract
Starting from the definitions, the first two inverse moments of a positive hypergeometric variable have been computed accurate to five decimal places for: N equals 1(1)20, M equals 1(1)N, n equals 1(1)M, N equals 25(5)50, M/N equals 5% and 100%, n equals 1(1)M; N equals 55(5)100(10) 140, M/N equals 5% and 100%, n/N (less than M/N) equals 5% and 100%. Many theoretical results of interest, recurrence formulae among the inverse moments, and various approximations for the first two inverse moments have been obtained. The rounding error involved in using the formulae at most 1-2 units in the last decimal place. The approximate values have been compared with the true values for some sets of values of N, M and n. For large values of N and n the Beta approximations are accurate up to 2-3 decimal places, provided they exist. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0281730
Entities
People
- F. C. Leone
- Zakkula Govindarajulu
Organizations
- Case Western Reserve University