On Stochastic Orderings and Ageing Properties with Applications in System Reliability

Hazra, Nil Kamal (2015) On Stochastic Orderings and Ageing Properties with Applications in System Reliability. PhD thesis, Indian Institute of Science Education and Research Kolkata.

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Abstract

Stochastic orders and ageing properties have large applications in reliability theory, operations research, economics, actuarial science, biological science, forensic science, queuing theory, inventory, and related fields. In reliability theory, these are used to study different system reliabilities. Keeping the importance in mind, the present thesis is devoted to study different stochastic orderings and ageing properties, and their various applications in system reliability. In industrial engineering, the failure of a system could create a great economic loss or even loss of human life. As a result, engineers widely use redundant components to enhance the lifetime of a system. In order to do that, an important problem in reliability theory is

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