Estimating the scale parameter of the Rayleigh distribution using Ranked set sampling techniques

Mohammad Fraiwan Al-Saleh and Saba Yahya Matalqah

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 16, 5339-5353

Abstract: The Rayleigh distribution is an important continuous probability distribution that has many real applications. In this paper, an intensive study of some properties of this distribution has been conducted to efficiently estimate its scale parameter using Ranked set sampling (RSS) and moving extreme ranked set sampling (MERSS) techniques. The suggested estimators are compared to their counterparts using simple random sampling (SRS) technique. It turned that the suggested estimators of the scale parameter using RSS and MERSS are more efficient than the corresponding estimators using SRS.

Date: 2025
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DOI: 10.1080/03610926.2025.2496689

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