On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling

In this manuscript, we propose the combined and separate difference and ratio type estimators of population mean using stratified ranked set sampling. Additionally, several well-known estimators are identified as the sub-class of the suggested estimators. The characteristics of the suggested estimat...

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Main Authors: Shashi Bhushan, Anoop Kumar, Usman Shahzad, Amer Ibrahim Al-Omari, Ibrahim Mufrah Almanjahie
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/18/3283
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author Shashi Bhushan
Anoop Kumar
Usman Shahzad
Amer Ibrahim Al-Omari
Ibrahim Mufrah Almanjahie
author_facet Shashi Bhushan
Anoop Kumar
Usman Shahzad
Amer Ibrahim Al-Omari
Ibrahim Mufrah Almanjahie
author_sort Shashi Bhushan
collection DOAJ
description In this manuscript, we propose the combined and separate difference and ratio type estimators of population mean using stratified ranked set sampling. Additionally, several well-known estimators are identified as the sub-class of the suggested estimators. The characteristics of the suggested estimators have been analyzed and their effective performances are compared with the prominent estimators existing till date. Moreover, to prove the credibility of the theoretical findings, an extensive empirical study is administered over some real and hypothetically yielded symmetric and asymmetric populations.
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spelling doaj.art-e324f24e30624e078499bfa293cc4bdc2023-11-23T17:35:55ZengMDPI AGMathematics2227-73902022-09-011018328310.3390/math10183283On Some Improved Class of Estimators by Using Stratified Ranked Set SamplingShashi Bhushan0Anoop Kumar1Usman Shahzad2Amer Ibrahim Al-Omari3Ibrahim Mufrah Almanjahie4Department of Statistics, University of Lucknow, Lucknow 226007, IndiaDepartment of Statistics, Amity University, Lucknow 226028, IndiaDepartment of Mathematics & Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics, Al al-Bayt University, Mafraq 25113, JordanDepartment of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi ArabiaIn this manuscript, we propose the combined and separate difference and ratio type estimators of population mean using stratified ranked set sampling. Additionally, several well-known estimators are identified as the sub-class of the suggested estimators. The characteristics of the suggested estimators have been analyzed and their effective performances are compared with the prominent estimators existing till date. Moreover, to prove the credibility of the theoretical findings, an extensive empirical study is administered over some real and hypothetically yielded symmetric and asymmetric populations.https://www.mdpi.com/2227-7390/10/18/3283stratified ranked set samplingefficiencymean square error
spellingShingle Shashi Bhushan
Anoop Kumar
Usman Shahzad
Amer Ibrahim Al-Omari
Ibrahim Mufrah Almanjahie
On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
Mathematics
stratified ranked set sampling
efficiency
mean square error
title On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
title_full On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
title_fullStr On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
title_full_unstemmed On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
title_short On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling
title_sort on some improved class of estimators by using stratified ranked set sampling
topic stratified ranked set sampling
efficiency
mean square error
url https://www.mdpi.com/2227-7390/10/18/3283
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