عنوان
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Preservation properties of some reliability classes by lifetimes of coherent and mixed systems and their signatures
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Aging class, Coherent system, Copula function, Exponential distribution, Residual lifetime, Signatures, Stochastic order
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چکیده
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This paper examines the preservation of several aging classes of lifetime distributions in the formation of coherent and mixed systems with independent and identically distributed (i.i.d.) or identically distributed (i.d.) component lifetimes. The increasing mean inactivity time class and the decreasing mean time to failure class are developed for the lifetime of systems with possibly dependent and i.d. component lifetimes. The increasing likelihood ratio property is also discussed for the lifetime of a coherent system with i.i.d. component lifetimes.We present sufficient conditions satisfied by the signature of a coherent system with i.i.d. components with exponential distribution, under which the decreasing mean remaining lifetime, the increasing mean inactivity time, and the decreasing mean time to failure are all satisfied by the lifetime of the system. Illustrative examples are presented to support the established results.
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پژوهشگران
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نارایاناسوامی بالاکریشنان (نفر سوم)، ابراهیم امینی سرشت (نفر دوم)، سلمان ایزدخواه (نفر اول)
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