Comparison among three estimation methods to estimate cascade reliability model (2+1)‎ based on inverted exponential distribution

Author

Rahim, Sairan Hamzah

Source

Ibn al-Haitham Journal for Pure and Applied Science

Issue

Vol. 33, Issue 4 (31 Dec. 2020), pp.82-91, 10 p.

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2020-12-31

Country of Publication

Iraq

No. of Pages

10

Main Topic

Mathematics

Topics

Abstract EN

In this paper, we are mainly concerned with estimating cascade reliability model (2+1) based on inverted exponential distribution and comparing among the estimation methods that are used.

The maximum likelihood estimator and uniformly minimum variance unbiased estimators are used to get the parameters of the strengths X_k and the stress Y_k ; k=1, 2, 3 respectively then, by using the unbiased estimators, we propose Preliminary test single stage shrinkage (PTSSS) estimator when a prior knowledge is available for the scale parameter as initial value due past experiences.

The Mean Squared Error [MSE] for the proposed estimator is derived to compare among the methods.

Numerical results about conduct of the considered estimator are discussed including the study of mentioned expressions.

The numerical results are exhibited and put it in tables.

American Psychological Association (APA)

Rahim, Sairan Hamzah. 2020. Comparison among three estimation methods to estimate cascade reliability model (2+1) based on inverted exponential distribution. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 33, no. 4, pp.82-91.
https://search.emarefa.net/detail/BIM-977523

Modern Language Association (MLA)

Rahim, Sairan Hamzah. Comparison among three estimation methods to estimate cascade reliability model (2+1) based on inverted exponential distribution. Ibn al-Haitham Journal for Pure and Applied Science Vol. 33, no. 4 (2020), pp.82-91.
https://search.emarefa.net/detail/BIM-977523

American Medical Association (AMA)

Rahim, Sairan Hamzah. Comparison among three estimation methods to estimate cascade reliability model (2+1) based on inverted exponential distribution. Ibn al-Haitham Journal for Pure and Applied Science. 2020. Vol. 33, no. 4, pp.82-91.
https://search.emarefa.net/detail/BIM-977523

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 90-91

Record ID

BIM-977523