Abstract:
A random damage model is considered where an observation N is reduced to B by means of the binomial distribution. If the Rao-Rubin condition is examined B+C=N, where C is the missing part, for distributions of N other than the Poisson distribution, such as the G.P.S.D. with the series function f(&). Using the result of Raja Rao et al. (1973) it is possible to order the three probabilities P(B.x0, P(B.x) undamaged and P(B.xl damaged), (at least for large x). It is conjectured that if log f(0--) is a convex function of (6) then for large x,the inequality P(B=x)( P(B.1 damaged) holds. If log f(6) is concave in, the situation is reversed. This conjecture is true when N has the negative binomial or the binomial distribution.
Page(s):
1-15
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 1, Issue: 1, Year: 1985