Skip to content
Research Article Open access CC BY 4.0

Estimation of Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution Based on Lower Record Values

Amal S. Hassan, Hiba Z. Muhammed, Mohammed S. Saad

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 23 Aug 2015

10.9734/BJMCS/2015/19829

Abstract

The estimation of stress-strength reliability function based on record values has attracted the attention of authors because of its important role in industrial tests, where in some situations not all observations are considered in the study but only observations which are more extreme than the current observations, which represent record values, are the subject of the study. This paper deals with the estimation of R = P [Y < X ] , when X and  are two  independently exponentiated inverted Weibull distributed random variables based on lower record values. Non-Bayesian estimator using maximum likelihood method and Bayesian estimators using squared error and LINEX loss functions are derived. The exact confidence interval of the reliability is also derived. For illustrative purposes, analysis of a simulated data set has been performed to compare the different estimators and to investigate the coverage probabilities of confidence intervals.

Exponentiated inverted Weibull distribution stress- strength reliability lower record values.

Cited by 15

Inference on stress–strength reliability and reliability function based on upper record values from the Lomax–Rayleigh distribution

Mohd Amir, Haseeb Athar, A. Bakar · Journal of Statistical Computation and Simulation · 2026

Estimation of the Topp-Leone Alpha Power Weibull Distribution Based on Lower Record Values

G. al-Dayian, A. el-Helbawy, Hanem E. Hozaien · Computational Journal of Mathematical and Statistical Sciences · 2024

Interval Estimation of the Stress-Strength Reliability for Lower Record Data Based on One-parameter Exponential Distribution Using Median Ranked Set Sampling and Record Ranked Set Sampling

Mingkwan Sorin, W. Srisodaphol · The Philippine journal of science · 2022

ON ESTIMATION OF STRESS-STRENGTH RELIABILITY USING LOWER RECORD VALUES FROM ODD GENERALIZED EXPONENTIAL - EXPONENTIAL DISTRIBUTION

M. Mohamed, Ahmed Reda · Journal of Applied Engineering Science · 2021

Stress-Strength Reliability for Exponentiated Inverted Weibull Distribution with Application on Breaking of Jute Fiber and Carbon Fibers

Wael S. Abu El Azm, E. Almetwally, A. Alghamdi · Computational Intelligence and Neuroscience · 2021

Estimation of R for geometric distribution under lower record values

M. Mohamed · Journal of Applied Research and Technology · 2020

Estimation of multicomponent stress-strength reliability following Weibull distribution based on upper record values

A. Hassan, H. Nagy, H. Muhammed · Journal of Taibah University for Science · 2020

Classical and Bayesian Estimation of Stress-Strength Reliability from Generalized Inverted Exponential Distribution based on Upper Records

M. S. H. Khan, B. Khatoon · Pakistan Journal of Statistics and Operation Research · 2019

Bayesian Estimation of Stress Strength Reliability using Upper Record Values from Generalised Inverted Exponential Distribution

Ritu Kumari, K. K. Mahajan, S. Arora · International journal of mathematical, engineering and management sciences · 2019

The exponentiated reduced Kies distribution: Properties and applications

C. Kumar, S. H. S. Dharmaja · 2017

Related research

Article metrics

Real usage data collected on this platform.

14

Page views

0

PDF downloads

1

Outbound clicks

15

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.