Estimation of the system reliability for generalized inverse Lindley distribution based on different sampling designs

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we are interested in estimating stress-strength reliability when the distributions of stress and strength are independent generalized inverse Lindley (GIL) under different sampling designs, namely, simple random sampling (SRS), ranked set sampling (RSS) and percentile ranked set sampling (PRSS). In the context of parameter estimation, we use maximum likelihood (ML) methodology. The performance of the ML estimators of stress-strength reliability based on SRS, RSS and PRSS are compared via a Monte-Carlo simulation study for different parameter settings and sample sizes under the assumptions of perfect and imperfect ranking, respectively. At the end of the study, the insulin resistance data set is analyzed to implement the proposed methodologies.

Açıklama

Anahtar Kelimeler

Stress-strength reliability, Sampling designs, Maximum likelihood, Imperfect ranking, Efficiency

Kaynak

Communications in Statistics - Theory and Methods

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

50

Sayı

7

Künye

Akgül, F. G., Yu, K., Şenoğlu B. (2020). Estimation of thesystem reliability for generalized inverse Lindley distribution based on different sampling designs,Communications in Statistics - Theory and Methods, DOI: 10.1080/03610926.2019.1705977