Estimation of stress-strength reliability for type-1 pathway generated exponential distribution

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Abstract A special case of the pathway generated family is computed with the exponential distribution and is called the type-1 pathway generated exponential distribution. The survival, hazard and moment generating function, likelihood ratio ordering, and stress-strength reliability are computed. For the estimation of stress-strength reliability parameter, point and interval estimator are computed using the maximum likelihood, and asymptotic confidence interval and bootstrap methods respectively. To verify the performance of the methods developed, an extensive Monte Carlo simulation study is conducted. The application of the developed results is illustrated on AIDS blood transfusion data.
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Estimation of stress-strength reliability for type-1 pathway generated exponential distribution | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Estimation of stress-strength reliability for type-1 pathway generated exponential distribution Gladvin V. James, Thomas Xavier, Nicy Sebastian This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4322327/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 15 Jun, 2025 Read the published version in International Journal of System Assurance Engineering and Management → Version 1 posted 6 You are reading this latest preprint version Abstract A special case of the pathway generated family is computed with the exponential distribution and is called the type-1 pathway generated exponential distribution. The survival, hazard and moment generating function, likelihood ratio ordering, and stress-strength reliability are computed. For the estimation of stress-strength reliability parameter, point and interval estimator are computed using the maximum likelihood, and asymptotic confidence interval and bootstrap methods respectively. To verify the performance of the methods developed, an extensive Monte Carlo simulation study is conducted. The application of the developed results is illustrated on AIDS blood transfusion data. Stress-Strength reliability maximum likelihood estimation bootstrap confidence intervals right truncated data AIDS blood transfusion data Full Text Cite Share Download PDF Status: Published Journal Publication published 15 Jun, 2025 Read the published version in International Journal of System Assurance Engineering and Management → Version 1 posted Editorial decision: Major revisions 13 Aug, 2024 Reviewers agreed at journal 08 May, 2024 Reviewers invited by journal 08 May, 2024 Editor invited by journal 01 May, 2024 Editor assigned by journal 27 Apr, 2024 First submitted to journal 26 Apr, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4322327","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":300064884,"identity":"ee2d9cc4-b7bb-4143-bc0f-5021bdc0b96f","order_by":0,"name":"Gladvin V. 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