Open Access Open Access  Restricted Access Subscription or Fee Access

Fisher Information in Moving Extreme Ranked Set Sampling

Vyomesh Nandurbarkar, Ashok Shanubhogue


Ranked set sampling (RSS) provides an alternative technique to get efficient estimates compared to simple random sampling (SRS). In their study, Yao, Chen, Yang and Long (2021) derived Fisher information for the location and scale family of distributions using moving extreme ranked set sampling (MERSS), which is a variation of ranked set sampling. In this study, we derive the Fisher information of the parameters of the exponentiated family of distributions by using moving extreme ranked set sampling (MERSS). We derive maximum likelihood functions and likelihood equations. Special cases include the Fisher information for generalized rayleigh distribution and generalized exponential distribution. Using simulation, we find that the MERSS procedure provides more information than simple random sampling when estimating shape and scale parameters.


ranked set sampling, moving extremes ranked set sampling, maximum likelihood estimator, Fisher information number.

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.