A modified robust confidence interval for the population mean of distribution based on deciles

Artikel

The confidence interval is an important statistical estimator of population location and dispersion parameters. The paper considers a robust modified confidence interval, which is an adjustment of the Student's t confidence interval based on the decile mean and decile standard deviation for estimating the population mean of a skewed distribution. The efficiency of the proposed interval estimator is evaluated on the basis of an extensive Monte Carlo simulation study. The coverage ratio and average width of the proposed confidence interval are compared with certain existing and widely used confidence intervals. The simulation results show that, in general, the proposed interval estimator's performance is highly effective. For illustrative purposes, three real-life data sets are analyzed, which, to a certain extent, support the findings obtained from the simulation study. Thus, we recommend that practitioners use the robust modified confidence interval for estimating the population mean when the data are generated by a normal or skewed distribution.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Statistics in Transition new series (SiTns) ; ISSN: 2450-0291 ; Volume: 23 ; Year: 2022 ; Issue: 1 ; Pages: 109-128 ; Warsaw: Sciendo

Classification and Topics

• Subject: robust confidence interval ; decile mean ; decile mean standard deviation ; decile mean standard error ; Monte Carlo simulation

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Abu-Shawiesh, Moustafa Omar Ahmed ; Juthaphorn Sinsomboonthong ; Kibria, Bhuiyan Mohammad Golam
• Event: Veröffentlichung
• (who): Sciendo
• (where): Warsaw
• (when): 2022

Further information

• DOI: doi:10.2478/stattrans-2022-0007
• Handle: http://hdl.handle.net/10419/266298
• Last update: 10.03.2025, 11:43 AM CET