A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Tenzile Erbayram; Ümmügülsüm Yıldırım; Yunus Akdoğan

doi:10.17776/csj.1094289

EN

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Abstract

This article introduces a new lifetime distribution by merging the first two lower records based on exponential distribution and discusses the different features of the distribution. Statistical inferences about the distribution parameters are discussed with three estimation methods, namely maximum likelihood, least squares, and weighted least squares. Monte Carlo simulation study is performed to evaluate of these estimators based on mean square errors estimation, mean absolute deviation, and mean relative errors of estimation for a sample of different sizes. A distribution simulation analysis based on real data is provided to demonstrate the adaptability of the proposed model.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Tenzile Erbayram ^*
0000-0002-3275-120X
Türkiye

Ümmügülsüm Yıldırım
0000-0001-6780-6373
Türkiye

Yunus Akdoğan
0000-0003-3520-7493
Türkiye

Publication Date

September 30, 2022

Submission Date

March 28, 2022

Acceptance Date

June 16, 2022

Published in Issue

Year 2022 Volume: 43 Number: 3

DOI

https://doi.org/10.17776/csj.1094289

IZ

https://izlik.org/JA24DM86DZ

Cite

RIS / Bibtex

APA

Erbayram, T., Yıldırım, Ü., & Akdoğan, Y. (2022). A new Lifetime Distribution Based on the Transmuted First Two Lower Records. Cumhuriyet Science Journal, 43(3), 534-542. https://doi.org/10.17776/csj.1094289

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Cubic ranked record based transmuted family of distributions: Applications and properties

Communications in Statistics - Theory and Methods

https://doi.org/10.1080/03610926.2025.2540856

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Inference on process capability index $$S_{pmk}$$ for a new lifetime distribution

Cubic ranked record based transmuted family of distributions: Applications and properties