Abstract
In this paper we examine the problem of the estimation of the variance σ 2 of a population based on a ranked set sample (RSS) from a nonparametric point of view. It is well known that based on a single cycle RSS, there does not exist an unbiased estimate of σ 2. We show that for more than one cycle, it is possible to construct a class of quadratic unbiased estimates of σ 2 in both balanced and unbalanced cases. Moreover, a minimum variance unbiased quadratic nonnegative estimate of σ 2 within a certain class of quadratic estimates is derived.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
