Estimation of interquartile range in stratified sampling under non-linear cost function

被引：6

作者：

Shabbir, Javid ^{[1
]}

Ahmed, Aneel ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Stat, Islamabad 45320, Pakistan

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2022年 / 51卷 / 04期

关键词：

Auxiliary variable; Bias; efficiency; IQR; MSE; MEDIAN ESTIMATION; AUXILIARY;

D O I：

10.1080/03610918.2019.1689267

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Using stratified random sampling scheme, we discuss three estimators in estimating the finite population interquartile range (IQR) by using the known values of the 1(st) and 3(rd) quartiles of the auxiliary variable. Expressions for bias and MSE are derived up to first order of approximation. We propose an allocation procedure where a non-linear cost function is considered to minimize the mean square error (MSE) of the estimators for a specified cost. We use the real data set to compare the performances of estimators under proportional allocation and proposed allocation.

引用

页码：1891 / 1898

页数：8

共 50 条

[1] Efficient estimation of population mean under stratified random sampling with linear cost function
Mradula
Yadav, Subhash Kumar
Varshney, Rahul
Dube, Madhulika
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2021, 50 (12) : 4364 - 4387
[2] Improved memory-type ratio estimator for population mean in stratified random sampling under linear and non-linear cost functions
Arun Pal
Rahul Varshney
Subhash Kumar Yadav
Tolga Zaman
[J]. Soft Computing, 2024, 28 (13-14) : 7739 - 7754
[3] Decision based Non-linear Filtering using Interquartile Range Estimator for Gaussian Signals
Buch, Kaushal D.
[J]. 2014 ANNUAL IEEE INDIA CONFERENCE (INDICON), 2014,
[4] An effective and economic estimation of population mean in stratified random sampling using a linear cost function
Zaagan, Abdullah A.
Verma, Mukesh Kumar
Mahnashi, Ali M.
Yadav, Subhash Kumar
Ahmadini, Abdullah Ali H.
Meetei, Mutum Zico
Varshney, Rahul
[J]. HELIYON, 2024, 10 (10)
[5] DETERMINATION OF OPTIMUM SAMPLE SIZE AND VARIANCE IN MULTIVARIATE STRATIFIED SAMPLING WITH NON-LINEAR TIME FUNCTION
Ahmad, Abrar
Rabbani, Quazzafi
Ansari, A. H.
[J]. JOURNAL OF SCIENCE AND ARTS, 2023, (02): : 513 - 524
[6] Non-linear pricing with a general cost function
Monteiro, PK
Page, FH
[J]. ECONOMICS LETTERS, 1996, 52 (03) : 287 - 291
[7] Estimation of Finite Population Mean in Multivariate Stratified Sampling under Cost Function Using Goal Programming
Ullah, Atta
Shabbir, Javid
Hussain, Zawar
Al-Zahrani, Bander
[J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
[8] NON-LINEAR LEAST-SQUARES ESTIMATION UNDER NON-LINEAR EQUALITY CONSTRAINTS
LUTKEPOHL, H
[J]. ECONOMICS LETTERS, 1983, 13 (2-3) : 191 - 196
[9] Improved Memory Type Product Estimator for Population Mean in Stratified Random Sampling Under Linear Cost Function
Yadav S.K.
Vishwakarma G.K.
Varshney R.
Pal A.
[J]. SN Computer Science, 4 (3)
[10] USE OF A NON-LINEAR MODEL FOR IMPROVED ESTIMATION IN CLUSTER SAMPLING
Misra, Govind Charan
Yadav, Subhash Kumar
Shukla, Alok Kumar
Bahadur, Raj
[J]. JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2010, 3 (02): : 73 - 78

← 1 2 3 4 5 →