RECURRENCE RELATIONS FOR THE FIRST TWO INVERSE MOMENTS OF THE POSITIVE BINOMIAL VARIABLE
Abstract
Recurrence formula for the second inverse moments of the positive binomial variable was derived. The method of obtaining recurrence formulae for its higher inverse moments was indicated. The cumulative rounding error propagated by using these formulae recurrently was considered. Bounds for the propagated rounding error were obtained. By comparing some of the moments evaluated by the use of recurrence formulae, with the true values, it is noted that the rounding error involved in the first two inverse moments will be at most one unit in the last decimal place and the error will be practically zero when p is large. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0285527
Entities
People
- Zakkula Govindarajulu
Organizations
- Case Western Reserve University