In this paper, we consider series-parallel and parallel-series systems with independent subsystems consisting of dependent homogeneous components whose joint lifetimes are modeled by an Archimedean copula. Then, by considering two such systems with different numbers of components within each subsystem, we establish hazard rate and reversed hazard rate orderings between the two system lifetimes,...

Abstract The concept of reversed hazard rate of a random life is defined as the ratio between the life probability density to its distribution function. This concept plays a role in analyzing censored data and is applicable in such areas as Forensic Sciences. In this investigation, we address the question of testing the reversed hazard rate where the null is that the reversed hazard rate is an ...

We provide an equilibrium asset pricing formula under moral hazard on the assumption of a power utility function and an endogenous riskless rate. Moral hazard is defined here as a firm’s change of measure that is incontractible. We show explicitly in closed form that moral hazard distorts asset prices by (1) moving the market price of diffusive risk in the opposite direction to an investor’s ma...

A simple adjustment to parametric failure-time distributions, which allows for much greater flexibility in the shape of the hazard-rate function, is considered. Closed-form expressions for the distributions of the power-law adjusted Weibull, gamma, log-gamma, generalized gamma, lognormal and Pareto distributions are given. Most of these allow for bathtub shaped and other multi-modal forms of th...

A simple adjustment to parametric failure-time distributions, which allows for much greater flexibility in the shape of the hazard-rate function, is considered. Analytical expressions for the distributions of the power-law adjusted Weibull, gamma, log-gamma, generalized gamma, lognormal and Pareto distributions are given. Most of these allow for bathtub shaped and other multi-modal forms of the...


 In this study, an alpha power inverted Kumaraswamy (APIK) distribution is introduced. The APIK de- rived by applying transformation to distribution. Some submodels and limiting cases of the are obtained as well. To best authors’ knowledge, some these distributions have not been introduced yet. Statistical inference distribution, including survival hazard rate func- tions, obtained. Unkno...

A local volatility model is enhanced by the possibility of a single jump to default. The jump has a hazard rate that is the product of the stock price raised to a prespecified negative power and a deterministic function of time. The empirical work uses a power of −1.5. It is shown how one may simultaneously recover from the prices of credit default swap contracts and equity option prices both t...

The Xianshuihe (XSH) fault in eastern Tibet is one of the most active faults China, with next large earthquake likely to occur along its SE part, where splits into three parallel branches: Yalahe, Selaha and Zheduotang (ZDT). Precisely quantifying their slip rates at various timescales essential evaluate regional hazard. Here, we expand our previous work on nearby ZDT Moxi (MX) faults, add obse...