International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064


Downloads: 131

Research Paper | Mathematics | Iraq | Volume 6 Issue 7, July 2017


On Shrinkage Estimation of R(s,k) Based on Exponentiated Weibull Distribution

Abbas N. S., Fatima H. S.


Abstract: In this paper, estimation of a reliability of the multi-component system in stress-strength model R (s, k) is considered, when the stress and strength are independent random variables and follows the Exponentiated Weibull Distribution (EWD) with known first shape parameter and, the second shape parameter is unknown. Different shrinkage estimation methods of R (s, k) for (EWD) are introduced based on maximum likelihood and moment methods. The comparisons among the proposed estimators that depend on the simulation technique are made and mean squared error (MSE) is used as criteria.


Keywords: Exponentiated Weibull Distribution EWD, Reliability of multi-component Stress Strength models R s, k, Maximum likelihood estimator MLE, Moment estimator MOM, Shrinkage Estimator sh, mean squared error MSE


Edition: Volume 6 Issue 7, July 2017,


Pages: 117 - 123


How to Cite this Article?

Abbas N. S., Fatima H. S., "On Shrinkage Estimation of R(s,k) Based on Exponentiated Weibull Distribution", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=ART20175032, Volume 6 Issue 7, July 2017, 117 - 123

How to Share this Article?

Enter Your Email Address


Similar Articles with Keyword 'k'

Downloads: 146 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 6 Issue 11, November 2017

Pages: 1792 - 1796

A Study on Graph with Desmos through ICT in Diploma in Elementary Education of Tamil Nadu State Board

P. Charles Paul, G. Thulasi

Share this Article

Downloads: 160

Research Paper, Mathematics, Nigeria, Volume 6 Issue 8, August 2017

Pages: 1893 - 1895

Integer Linear Programming Applied to Nurses Rostering Problem

A. A. Maidamisa, H. A. Odiniya

Share this Article

Similar Articles with Keyword 'Maximum likelihood estimator MLE'

Downloads: 104

Research Paper, Mathematics, Iraq, Volume 6 Issue 3, March 2017

Pages: 2078 - 2082

On Shrinkage Estimation of the Stress ? Strength Reliability of Exponentiaed Weibull Distribution

Abbas.N.S, Fatima.H.S

Share this Article

Downloads: 121

Research Paper, Mathematics, Iraq, Volume 6 Issue 11, November 2017

Pages: 1825 - 1832

Estimation R(s,k) of Generalized Rayleigh Distribution

Abbas.N.S, Eman.A.A

Share this Article

Similar Articles with Keyword 'mean squared error MSE'

Downloads: 104

Research Paper, Mathematics, Iraq, Volume 6 Issue 3, March 2017

Pages: 2078 - 2082

On Shrinkage Estimation of the Stress ? Strength Reliability of Exponentiaed Weibull Distribution

Abbas.N.S, Fatima.H.S

Share this Article

Downloads: 121

Research Paper, Mathematics, Iraq, Volume 6 Issue 11, November 2017

Pages: 1825 - 1832

Estimation R(s,k) of Generalized Rayleigh Distribution

Abbas.N.S, Eman.A.A

Share this Article

Similar Articles with Keyword 'Weibull'

Downloads: 104

Research Paper, Mathematics, Iraq, Volume 6 Issue 3, March 2017

Pages: 2078 - 2082

On Shrinkage Estimation of the Stress ? Strength Reliability of Exponentiaed Weibull Distribution

Abbas.N.S, Fatima.H.S

Share this Article

Downloads: 114

Research Paper, Mathematics, Afghanistan, Volume 8 Issue 10, October 2019

Pages: 1412 - 1421

Comparison of Result Analysis in Weibull Distribution Based on Increasing Right Type Censorship and Hybrid Censorship

Sayed Hazrat Sadat

Share this Article

Similar Articles with Keyword 'Distribution'

Downloads: 2 | Monthly Hits: ⮙1

Research Paper, Mathematics, Ghana, Volume 10 Issue 7, July 2021

Pages: 1349 - 1358

Modelling the Dynamics and Transmission of Dengue Fever by the Vector, Mosquito Aedes aegypti in Tropical Africa Region

Christiana C. Nyarko, Peter K. Nyarko, Albert Buabeng, Monica V. Crankson

Share this Article

Downloads: 8 | Weekly Hits: ⮙1 | Monthly Hits: ⮙2

Research Paper, Mathematics, Uganda, Volume 10 Issue 8, August 2021

Pages: 538 - 547

Riemann Hypothesis and the Distribution of Prime Numbers

Adriko Bosco

Share this Article

Similar Articles with Keyword 'Reliability'

Downloads: 2 | Monthly Hits: ⮙2

Research Paper, Mathematics, India, Volume 10 Issue 9, September 2021

Pages: 1107 - 1111

Mathematical Model on Reliability with Three Units

Dr. Shruti Rani

Share this Article

Downloads: 104

Research Paper, Mathematics, Iraq, Volume 6 Issue 3, March 2017

Pages: 2078 - 2082

On Shrinkage Estimation of the Stress ? Strength Reliability of Exponentiaed Weibull Distribution

Abbas.N.S, Fatima.H.S

Share this Article

Similar Articles with Keyword 'Stress'

Downloads: 1

Research Paper, Mathematics, India, Volume 3 Issue 12, December 2014

Pages: 1323 - 1327

Quasi-Static Thermal Stresses in a Thin Rectangular Plate Due to Heat Generation

Kishor R. Gaikwad

Share this Article

Downloads: 5 | Weekly Hits: ⮙2 | Monthly Hits: ⮙3

Research Paper, Mathematics, Kenya, Volume 10 Issue 6, June 2021

Pages: 126 - 131

Modified Navier-Stokes Equation for Incompressible Fluid Impacts

Hagai Amakobe James

Share this Article

Similar Articles with Keyword 'Strength'

Downloads: 36

Research Paper, Mathematics, Zambia, Volume 10 Issue 2, February 2021

Pages: 1590 - 1598

Pre-School Teacher Subject Matter Knowledge for Teaching Informal Geometry: A Pilot Study

Getrude Chimfwembe- Gondwe, Bentry Nkhata

Share this Article

Downloads: 40

Research Paper, Mathematics, Indonesia, Volume 2 Issue 2, February 2013

Pages: 138 - 143

Hierarchical Bayes Small Area Estimation for Gender Parity Index in Education: Case Study East Java Province

Rifdatun Ni'mah, Nur Iriawan

Share this Article

Similar Articles with Keyword 'models'

Downloads: 144

M.Tech / M.E / PhD Thesis, Mathematics, India, Volume 6 Issue 8, August 2017

Pages: 1453 - 1457

Bianchi Type V String Having G and Λ as a Constant in a Cosmological Model

Versha Rani

Share this Article

Downloads: 1 | Monthly Hits: ⮙1

Research Paper, Mathematics, Kenya, Volume 10 Issue 9, September 2021

Pages: 530 - 534

A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling

Clementine Kaluki Mutua, Kennedy Awuor, Emily Nafula John

Share this Article

Similar Articles with Keyword 'R'

Downloads: 49

Research Paper, Mathematics, India, Volume 10 Issue 2, February 2021

Pages: 756 - 759

Number Theoretic Functions and Coordinate Geometry

Chirag Gupta

Share this Article

Downloads: 146 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 6 Issue 11, November 2017

Pages: 1792 - 1796

A Study on Graph with Desmos through ICT in Diploma in Elementary Education of Tamil Nadu State Board

P. Charles Paul, G. Thulasi

Share this Article

Similar Articles with Keyword 's'

Downloads: 49

Research Paper, Mathematics, India, Volume 10 Issue 2, February 2021

Pages: 756 - 759

Number Theoretic Functions and Coordinate Geometry

Chirag Gupta

Share this Article

Downloads: 146 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Mathematics, India, Volume 6 Issue 11, November 2017

Pages: 1792 - 1796

A Study on Graph with Desmos through ICT in Diploma in Elementary Education of Tamil Nadu State Board

P. Charles Paul, G. Thulasi

Share this Article
Top