Bivariate life distributions used to model negative dependence typically possess certain limitations; in particular, the correlation coefficient takes values in a restricted subrange of $[-1,0]$. We construct a new bivariate life distribution to remedy this. Properties of the proposed distribution are studied. It is shown that the distribution satisfies most of the popular notions of negative dependence prevalent in the literature. Stress–strength reliability bounds are obtained, and parameter estimation methodology has been discussed. Performance of the estimators are compared through a simulation study.

中文翻译：

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一元生命分布和负相关性的概念

用于建模负相关性的双变量寿命分布通常具有一定的局限性。特别是，相关系数的取值范围为$[-\mathrm{1个}，0]$。我们构建了一个新的双变量寿命分布来对此进行补救。研究了建议分布的性质。结果表明，该分布满足了文献中普遍流行的大多数负面依赖概念。获得了应力-强度可靠性界限，并讨论了参数估计方法。通过模拟研究比较估计器的性能。