Journal of Statistical Theory and Applications

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Volume 20, Issue 1, March 2021, Pages 86 - 96

Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data

Authors
Caner Tanış1, *, Buğra Saraçoğlu2, Coşkun Kuş2, Ahmet Pekgör3, Kadir Karakaya2
1Department of Statistics, Faculty of Science, Cankiri Karatekin University, Cankiri, 18100, Turkey
2Department of Statistics, Faculty of Science, Selçuk University, Konya, 42250, Turkey
3Department of Statistics, Faculty of Science, Necmettin Erbakan University, Konya, 42090, Turkey
*Corresponding author. Email: caner.tanis@gmail.com
Corresponding Author
Caner Tanış
Received 15 April 2019, Accepted 20 November 2020, Available Online 25 January 2021.
DOI
10.2991/jsta.d.210115.001How to use a DOI?
Keywords
Fréchet distribution; Lower records; Point estimates; Lifetime regression
Abstract

This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
20 - 1
Pages
86 - 96
Publication Date
2021/01/25
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.210115.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Caner Tanış
AU  - Buğra Saraçoğlu
AU  - Coşkun Kuş
AU  - Ahmet Pekgör
AU  - Kadir Karakaya
PY  - 2021
DA  - 2021/01/25
TI  - Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
JO  - Journal of Statistical Theory and Applications
SP  - 86
EP  - 96
VL  - 20
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210115.001
DO  - 10.2991/jsta.d.210115.001
ID  - Tanış2021
ER  -