Estimation of a Parallel Stress-strength Model Based on the Inverse Kumaraswamy Distribution

Bayda A. Kalaf; Bsma Abdul Hameed; Abbas N. Salman; Erum Rehman

doi:10.30526/36.1.2972

Article Details

Estimation of a Parallel Stress-strength Model Based on the Inverse Kumaraswamy Distribution

Authors:

Bayda A. Kalaf | Bsma Abdul Hameed | Abbas N. Salman | Erum Rehman

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.272-283

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377944

pISSN:

2521-3407

DOI:

10.30526/36.1.2972

Keywords:

Abstract:

 The reliability of the stress-strength model attracted many statisticians for several years owing to its applicability in different and diverse parts such as engineering, quality control, and economics. In this paper, the system reliability estimation in the stress-strength model containing Kth parallel components will be offered by four types of shrinkage methods: constant Shrinkage Estimation Method, Shrinkage Function Estimator, Modified Thompson Type Shrinkage Estimator, Squared Shrinkage Estimator. The Monte Carlo simulation study is compared among proposed estimators using the mean squared error. The result analyses of the shrinkage estimation methods showed that the shrinkage functions estimator was the best since it has a minor mean squared error than the other methods followed by the additional shrinkage estimator. The stress and strength belong to the In
verse Kumaraswamy distribution.

Article Details

Estimation of a Parallel Stress-strength Model Based on the Inverse Kumaraswamy Distribution

Authors:

Bayda A. Kalaf | Bsma Abdul Hameed | Abbas N. Salman | Erum Rehman

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.272-283

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377944

pISSN:

2521-3407

DOI:

10.30526/36.1.2972

Invers Kumaraswamy distribution

Stress ـ Strength reliability

Shrinkage estimator

Mean Squared Error

Issues

Article Details

Estimation of a Parallel Stress-strength Model Based on the Inverse Kumaraswamy Distribution

Authors: Bayda A. Kalaf | Bsma Abdul Hameed | Abbas N. Salman | Erum Rehman

Publisher: University of Baghdad

Journal: Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.272-283

Document Type: Article

Publication Date: 1/2023

Document Language: English

Document ID (Org No.): 2001377944

pISSN: 2521-3407

DOI: 10.30526/36.1.2972

Invers Kumaraswamy distribution

Stress ـ Strength reliability

Shrinkage estimator

Mean Squared Error

Issues

Authors:

Bayda A. Kalaf | Bsma Abdul Hameed | Abbas N. Salman | Erum Rehman

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.272-283

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377944

pISSN:

2521-3407

DOI:

10.30526/36.1.2972