Open Access Open Access  Restricted Access Subscription or Fee Access

Recurrence Relations for Single and Product Moments of Progressive Type-II Right Censored Order Statistics from Left Truncated Logistic Distribution with Application to Inference

J. Saran, K. Nain, A. P. Bhattacharya


In this paper, by assuming the underlying distribution of failure times as left truncated logistic distribution given in Kapoor (2014), we shall establish some recurrence relations for single and product moments of the corresponding progressive Type – II right censored order statistics, which would allow for the recursive computation of these moments for all sample sizes and all censoring schemes . The results obtained in this article generalize the results given by Balakrishnan et al. (2011) and Saran and Pande (2012) for single and product moments of progressive Type – II right censored order statistics from logistic and half logistic distributions, respectively and also the results of Balakrishnan (1985) for the ordinary order statistics from half logistic distribution.


Mathematics Subject Classification: 62E99


Progressive Type – II right censored order statistics, Single moments, Product moments, Recursive relations, Logistic distribution.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.