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- Scott Ferson, Roger B. Nelsen, +6 authors David S. Myers
- 2004

This report summarizes methods to incorporate information (or lack of information) about inter-variable dependence into risk assessments that use Dempster-Shafer theory or probability bounds analysis to address epistemic and aleatory uncertainty. The report reviews techniques for simulating correlated variates for a given correlation measure and dependence… (More)

- Daniel Berleant, Jianzhong Zhang
- Reliable Computing
- 2004

- Daniel Berleant, Jianzhong Zhang
- Rel. Eng. & Sys. Safety
- 2004

Daniel Berleant and Jianzhong Zhang Department of Electrical and Computer Engineering 2215 Coover Hall Iowa State University Ames, Iowa 50011 berleant@iastate.edu Abstract Distribution Envelope Determination (DEnv) is a method for computing the CDFs of random variables whose samples are a function of samples of other random variable(s), termed inputs. DEnv… (More)

This report summarizes methods to incorporate information (or lack of information) about inter-variable dependence into risk assessments that use Dempster-Shafer theory or probability bounds analysis to address epistemic and aleatory uncertainty. The report reviews techniques for simulating correlated variates for a given correlation measure and dependence… (More)

- Daniel Berleant, Lizhi Xie, Jianzhong Zhang
- Reliable Computing
- 2003

Daniel Berleant and Jianzhong Zhang Department of Electrical and Computer Engineering 2215 Coover Hall Iowa State University Ames, Iowa 50011 berleant@iastate.edu Abstract Distribution Envelope Determination (DEnv) is a technique for computing descriptions of derived random variables. Derived random variables have samples that are a function of samples of… (More)

A cumulative distribution function (CDF) states the probability that a sample of a random variable will be no greater than a value x, where x is a real value. Closed form expressions for important CDFs have parameters, such as mean and variance. If these parameters are not point values but rather intervals, sharp or fuzzy, then a single CDF is not… (More)

- Daniel Berleant, Jianzhong Zhang
- IEEE Trans. Reliability
- 2004

Characterizing the distribution of times to failure in 2-component systems is an important special case of a more general problem, finding the distribution of a function of random variables. Advances in this area are relevant to reliability as well as other fields, and influential papers on the topic have appeared in the reliability field over a span of… (More)

- Jianzhong Zhang, Daniel Berleant
- ISIPTA
- 2005

Uncertainty is a key issue in decision analysis and other kinds of applications. Researchers have developed a number of approaches to address computations on uncertain quantities. When doing arithmetic operations on random variables, an important question has to be considered: the dependency relationships among the variables. In practice, we often have… (More)

- Daniel Berleant, Jianzhong Zhang, Rujun Hu, Gerald Shebl
- 2002