Different goodness of fit tests for Rayleigh distribution in ranked set sampling

Amer Al-Omari, Ehsan Zamanzade

Abstract


In this paper, different goodness of fit tests for the Rayleigh distribution are considered based on simple random sampling (SRS) and ranked set sampling (RSS) techniques. The performance of the suggested estimators is evaluated in terms of the power of the tests by using Monte Carlo simulation. It is found that the suggested RSS tests perform better than their counterparts  in SRS.


Keywords


Goodness of fit tests; simple random sampling; ranked set sampling; Kullback-Leibler information; Critical values; Rayleigh distribution

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DOI: http://dx.doi.org/10.18187/pjsor.v12i1.1072

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Title

Different goodness of fit tests for Rayleigh distribution in ranked set sampling

Keywords

Goodness of fit tests; simple random sampling; ranked set sampling; Kullback-Leibler information; Critical values; Rayleigh distribution

Description

In this paper, different goodness of fit tests for the Rayleigh distribution are considered based on simple random sampling (SRS) and ranked set sampling (RSS) techniques. The performance of the suggested estimators is evaluated in terms of the power of the tests by using Monte Carlo simulation. It is found that the suggested RSS tests perform better than their counterparts  in SRS.


Date

2016-03-02

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 12 No. 1, 2016



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810