Probability of ties and Markov property in discrete order statistics |
| |
Authors: | Pushpa Lata Gupta Ramesh C. Gupta |
| |
Affiliation: | University of Meine at Orono, Orono, ME 04469, USA |
| |
Abstract: | It is well known that, in the continuous case, the probability that two consecutive order statistics are equal to zero, whereas it is not true when the distribution is discrete. It is, perhaps, for this reason that order statistics from discrete distributions has not been investigated in the literature as much as from a continuous distribution. The main purpose of this paper, therefore, is to obtain the probability of ties when the distribution is discrete. Also it is shown that, in the discrete case, the Markov property does not hold good. However, the order statistics from a geometric distribution forms a Markov chain. |
| |
Keywords: | 60J99 62E99 Discrete Order Statistics Probability of Ties Markov Property |
本文献已被 ScienceDirect 等数据库收录! |
|