Volume 10, Issue 1 (4-2024)
mmr 2024, 10(1): 18-32 |
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Kharrati-Kopaei M, Malekzadeh A. Exact Simultaneous Confidence Intervals for Normal Quantiles and Its Applications. mmr 2024; 10 (1) :18-32
URL: http://mmr.khu.ac.ir/article-1-3332-en.html
URL: http://mmr.khu.ac.ir/article-1-3332-en.html
1- Shiraz University , mkharati@shirazu.ac.ir
2- K.N. Toosi University of Technology
2- K.N. Toosi University of Technology
Abstract: (143 Views)
In this article, exact simultaneous confidence intervals for all quantiles of normal distribution are presented. Also, two algorithms for calculating the critical points of confidence intervals have been described. By using two real data sets and simulation, the applications of the set of exact confidence intervals are explained in practice, and the performance of the proposed confidence intervals is compared with the two existing methods in terms of coverage probability and average volume. The results show that the average volume of the proposed method is less than one of the existing methods and has close competition with the other existing method. Finally, the proposed new method can be recommended as a method for simultaneous inferences about normal quantiles.
Keywords: Goodness of fit test, Normal distribution, Order statistics, Simultaneous confidence intervals
Type of Study: S |
Subject:
stat
Received: 2023/05/13 | Revised: 2024/06/22 | Accepted: 2023/08/8 | Published: 2024/04/27 | ePublished: 2024/04/27
Received: 2023/05/13 | Revised: 2024/06/22 | Accepted: 2023/08/8 | Published: 2024/04/27 | ePublished: 2024/04/27
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