In this paper, we study reliability properties in two classes of bivariate continuous distributions based on specification of conditional hazard functions. These classes were constructed by conditioning on two different kinds of events in Arnold and Kim [6]. Several reliability properties are...

Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(X_{i:n},Y_{[i:n]})$$</EquationSource> </InlineEquation> be the vector of the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$i$$</EquationSource> </InlineEquation>th <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>-order statistic and its concomitant observed in a random sample of size <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$n$$</EquationSource> </InlineEquation> where the marginal distribution of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> is absolutely continuous. We describe some general algorithms for simulation of complete and Type II...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

In this article we obtain some new results in the area of stochastic comparisons of simple and normalized spacings from two samples of heterogeneous exponential random variables. Specifically, we investigate conditions under which successive spacings are ordered in the likelihood ratio ordering....

In this paper, we introduce a new shared frailty model called the compound negative binomial shared frailty model with three different baseline distributions namely, Weibull, generalized exponential and exponential power distribution. To estimate the parameters involved in these models we adopt...