一般離散開(kāi)型截?cái)唳臎_擊模型的壽命分布
發(fā)布時(shí)間:2019-03-05 12:23
【摘要】:δ沖擊模型是可靠性數(shù)學(xué)中重要的沖擊模型,它在保險(xiǎn)、交通、關(guān)系營(yíng)銷(xiāo)中等許多領(lǐng)域都有重要的應(yīng)用。定義了一類(lèi)離散開(kāi)型截?cái)唳臎_擊模型,討論了沖擊間隔服從格點(diǎn)分布的離散開(kāi)型截?cái)唳臎_擊模型的壽命性質(zhì),在任意的失效臨界值情形下,得到了系統(tǒng)壽命的精確分布及期望。特別地作為一個(gè)推論,得到了沖擊間隔服從幾何分布(即伯努利過(guò)程)的開(kāi)型截?cái)唳臎_擊模型的壽命分布。
[Abstract]:未 shock model is an important impact model in reliability mathematics, and it has important applications in many fields such as insurance, transportation and relationship marketing. In this paper, a discrete open truncated 未 shock model is defined. The life properties of the discrete open truncated 未 shock model with lattice distribution are discussed. The exact distribution and expectation of the system life are obtained under arbitrary critical value of failure. In particular, as a corollary, the life distribution of the open truncated 未 shock model with the shock interval obeying the geometric distribution (i.e. Bernoulli process) is obtained.
【作者單位】: 西北民族大學(xué)數(shù)學(xué)與計(jì)算機(jī)科學(xué)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11361049) 甘肅省科技計(jì)劃資助項(xiàng)目(甘肅省自然科學(xué)基金資助項(xiàng)目)(1308RJZA147) 西北民族大學(xué)中央高校基本科研業(yè)務(wù)費(fèi)專(zhuān)項(xiàng)基金資助項(xiàng)目(zyz2012082)
【分類(lèi)號(hào)】:O213.2
[Abstract]:未 shock model is an important impact model in reliability mathematics, and it has important applications in many fields such as insurance, transportation and relationship marketing. In this paper, a discrete open truncated 未 shock model is defined. The life properties of the discrete open truncated 未 shock model with lattice distribution are discussed. The exact distribution and expectation of the system life are obtained under arbitrary critical value of failure. In particular, as a corollary, the life distribution of the open truncated 未 shock model with the shock interval obeying the geometric distribution (i.e. Bernoulli process) is obtained.
【作者單位】: 西北民族大學(xué)數(shù)學(xué)與計(jì)算機(jī)科學(xué)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(11361049) 甘肅省科技計(jì)劃資助項(xiàng)目(甘肅省自然科學(xué)基金資助項(xiàng)目)(1308RJZA147) 西北民族大學(xué)中央高校基本科研業(yè)務(wù)費(fèi)專(zhuān)項(xiàng)基金資助項(xiàng)目(zyz2012082)
【分類(lèi)號(hào)】:O213.2
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