Open Access
Research Article
On estimating the variance of the sample median
*Hadi Alizadeh NoughabiCorresponding authoralizadehhadi@birjand.ac.irDepartment of StatisticsUniversity of BirjandBirjand, 97135, Iran0000-0002-7515-1896View full profile → , Mohammad Shafaei Noughabimohamad.shafaee@gmail.comDepartment of Mathematics and StatisticsUniversity of GonabadGonabad, 95715, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Oct 2022
- Published Online:
- 30 Nov 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1113
- Pages:
- 1335–1342
Abstract
Recently, Ozen et al. [6] proposed the nonparametric bootstrap method for estimating the variance of sample median and showed that this method has better efficiency for symmetric or right skewed distributions when the sample size is small. The present article proposes a new estimator for the variance of sample median. The mean squared error, variance, and bias of the new estimator is calculated and compared with those of the other estimators. The results of our simulation study show the new estimator has better efficiency for different distributions in terms of MSE.
Keywords
Subject Classifications
(2000) 62G0562G30
References
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