Ranked set sampling with application of modified Kies exponential distribution

Hassan M. Aljohani; Ehab M. Almetwally; Abdulaziz S. Alghamdi; E. H. Hafez

doi:10.1016/j.aej.2021.02.043

Ranked set sampling with application of modified Kies exponential distribution

Hassan M. Aljohani, Ehab M. Almetwally, Abdulaziz S. Alghamdi, E. H. Hafez

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This paper is concerned with estimating the parameters of the modified Kies exponential (MKEx) distribution using the classical estimation method, based on ranked set sampling (RSS), Likelihood estimation method is used for estimating the MKEx parameters. The maximum likelihood estimators (MLEs) are then investigated and compared to the corresponding ones based on simple random sampling (SRS) and RSS designs. A Monte Carlo simulation is used to obtain the absolute relative biases, mean square errors for the MKEx distribution. Efficiencies are compared for the different designs. The relative efficiency of RSS design was found to increase with increasing the number of cycles, compared with other designs for the MKEx distribution.

Original language	English
Pages (from-to)	4041-4046
Number of pages	6
Journal	Alexandria Engineering Journal
Volume	60
Issue number	4
DOIs	https://doi.org/10.1016/j.aej.2021.02.043
State	Published - Aug 2021
Externally published	Yes

Keywords

Cycle
Likelihood function
Monte Carlo
Ranked sample
Relative efficiency

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10.1016/j.aej.2021.02.043

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title = "Ranked set sampling with application of modified Kies exponential distribution",

abstract = "This paper is concerned with estimating the parameters of the modified Kies exponential (MKEx) distribution using the classical estimation method, based on ranked set sampling (RSS), Likelihood estimation method is used for estimating the MKEx parameters. The maximum likelihood estimators (MLEs) are then investigated and compared to the corresponding ones based on simple random sampling (SRS) and RSS designs. A Monte Carlo simulation is used to obtain the absolute relative biases, mean square errors for the MKEx distribution. Efficiencies are compared for the different designs. The relative efficiency of RSS design was found to increase with increasing the number of cycles, compared with other designs for the MKEx distribution.",

keywords = "Cycle, Likelihood function, Monte Carlo, Ranked sample, Relative efficiency",

author = "Aljohani, \{Hassan M.\} and Almetwally, \{Ehab M.\} and Alghamdi, \{Abdulaziz S.\} and Hafez, \{E. H.\}",

note = "Publisher Copyright: {\textcopyright} 2021 THE AUTHORS",

year = "2021",

month = aug,

doi = "10.1016/j.aej.2021.02.043",

language = "English",

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AU - Aljohani, Hassan M.

AU - Almetwally, Ehab M.

AU - Alghamdi, Abdulaziz S.

AU - Hafez, E. H.

PY - 2021/8

Y1 - 2021/8

N2 - This paper is concerned with estimating the parameters of the modified Kies exponential (MKEx) distribution using the classical estimation method, based on ranked set sampling (RSS), Likelihood estimation method is used for estimating the MKEx parameters. The maximum likelihood estimators (MLEs) are then investigated and compared to the corresponding ones based on simple random sampling (SRS) and RSS designs. A Monte Carlo simulation is used to obtain the absolute relative biases, mean square errors for the MKEx distribution. Efficiencies are compared for the different designs. The relative efficiency of RSS design was found to increase with increasing the number of cycles, compared with other designs for the MKEx distribution.

AB - This paper is concerned with estimating the parameters of the modified Kies exponential (MKEx) distribution using the classical estimation method, based on ranked set sampling (RSS), Likelihood estimation method is used for estimating the MKEx parameters. The maximum likelihood estimators (MLEs) are then investigated and compared to the corresponding ones based on simple random sampling (SRS) and RSS designs. A Monte Carlo simulation is used to obtain the absolute relative biases, mean square errors for the MKEx distribution. Efficiencies are compared for the different designs. The relative efficiency of RSS design was found to increase with increasing the number of cycles, compared with other designs for the MKEx distribution.

KW - Cycle

KW - Likelihood function

KW - Monte Carlo

KW - Ranked sample

KW - Relative efficiency

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VL - 60

SP - 4041

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JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

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Ranked set sampling with application of modified Kies exponential distribution

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Keywords

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