Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)

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Alternative Interval Estimation for the Generalized Exponential Distribution with Interval-Censored and Fixed Covariate

Authors
Nada MohammedSaeed Alharbi1, 2, Jayanthi Arasan1, 3, *, Nur Haizum Abd.Rahman1, Wendy Ling Shin Yie1
1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
2Department of Mathematics, Faculty of Science, Taibah University, Medina, Saudi Arabia
3Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia
*Corresponding author. Email: jayanthi@upm.edu.my
Corresponding Author
Jayanthi Arasan
Available Online 12 December 2022.
DOI
10.2991/978-94-6463-014-5_30How to use a DOI?
Keywords
Bootstrap; Jackknife; Interval-censoring; Fixed covariate; Coverage probability study
Abstract

This paper investigates several alternative methods of constructing confidence interval estimates based on the bootstrap and jackknife techniques for the interval censored generalized exponential distribution with fixed covariates. Simulation studies were conducted to compare the bootstrap techniques, which includes bootstrap-t, bootstrap-percentile, and bootstrap-normal interval estimation methods, with the jackknife confidence interval estimation methods using coverage probability. The results indicate that the bootstrap techniques works better than the jackknife techniques when dealing with interval-censored generalized exponential with fixed covariates.

Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
Series
Advances in Computer Science Research
Publication Date
12 December 2022
ISBN
978-94-6463-014-5
ISSN
2352-538X
DOI
10.2991/978-94-6463-014-5_30How to use a DOI?
Copyright
© 2023 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Nada MohammedSaeed Alharbi
AU  - Jayanthi Arasan
AU  - Nur Haizum Abd.Rahman
AU  - Wendy Ling Shin Yie
PY  - 2022
DA  - 2022/12/12
TI  - Alternative Interval Estimation for the Generalized Exponential Distribution with Interval-Censored and Fixed Covariate
BT  - Proceedings of the International Conference on Mathematical Sciences and Statistics 2022 (ICMSS 2022)
PB  - Atlantis Press
SP  - 319
EP  - 353
SN  - 2352-538X
UR  - https://doi.org/10.2991/978-94-6463-014-5_30
DO  - 10.2991/978-94-6463-014-5_30
ID  - Alharbi2022
ER  -