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Outputs (142)

The structure function for system reliability as predictive (imprecise) probability (2016)
Journal Article
Coolen, F., & Coolen-Maturi, T. (2016). The structure function for system reliability as predictive (imprecise) probability. Reliability Engineering & System Safety, 154, 180-187. https://doi.org/10.1016/j.ress.2016.06.008

In system reliability, the structure function models functioning of a system for given states of its components. As such, it is typically a straightforward binary function which plays an essential role in reliability assessment, yet it has received r... Read More about The structure function for system reliability as predictive (imprecise) probability.

k-Boxplots for mixture data (2016)
Journal Article
Qarmalah, N. M., Einbeck, J., & Coolen, F. P. (2018). k-Boxplots for mixture data. Statistical Papers, 59(2), 513-528. https://doi.org/10.1007/s00362-016-0774-7

This article introduces a new graphical tool to summarize data which possess a mixture structure. Computation of the required summary statistics makes use of posterior probabilities of class membership which can be obtained from a fitted mixture mode... Read More about k-Boxplots for mixture data.

Imprecise system reliability using the survival signature (2016)
Presentation / Conference Contribution
Coolen, F., Coolen-Maturi, T., Aslett, L., & Walter, G. (2016, May). Imprecise system reliability using the survival signature. Presented at 1st International Conference on Applied Mathematics in Engineering and Reliability, Ho Chi Minh City, Vietnam

Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula (2016)
Journal Article
Coolen-Maturi, T., Coolen, F., & Muhammad, N. (2016). Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula. Journal of statistical theory and practice, 10(3), 515-538. https://doi.org/10.1080/15598608.2016.1184112

This paper presents a new method for prediction of an event involving a future bivariate observation. The method combines nonparametric predictive inference (NPI) applied to the marginals with a parametric copula to model and estimate the dependence... Read More about Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula.

Imprecise system reliability and component importance based on survival signature (2016)
Journal Article
Feng, G., Patelli, E., Beer, M., & Coolen, F. (2016). Imprecise system reliability and component importance based on survival signature. Reliability Engineering & System Safety, 150, 116-125. https://doi.org/10.1016/j.ress.2016.01.019

The concept of the survival signature has recently attracted increasing attention for performing reliability analysis on systems with multiple types of components. It opens a new pathway for a structured approach with high computational efficiency ba... Read More about Imprecise system reliability and component importance based on survival signature.

Imprecise inference for warranty contract analysis (2015)
Journal Article
Utkin, L., Coolen, F., & Gurov, S. (2015). Imprecise inference for warranty contract analysis. Reliability Engineering & System Safety, 138, 31-39. https://doi.org/10.1016/j.ress.2015.01.011

This paper presents an investigation into generalised Bayesian analysis of warranty contracts, using sets of prior distributions within the theory of imprecise probability. Explicit expressions are derived for optimal lower and upper bounds for the e... Read More about Imprecise inference for warranty contract analysis.

A conjugate class of utility functions for sequential decision problems (2015)
Journal Article
Houlding, B., Coolen, F., & Bolger, D. (2015). A conjugate class of utility functions for sequential decision problems. Risk Analysis, 35(9), 1611-1622. https://doi.org/10.1111/risa.12359

The use of the conjugacy property for members of the exponential family of distributions is commonplace within Bayesian statistical analysis, allowing for tractable and simple solutions to problems of inference. However, despite a shared motivation,... Read More about A conjugate class of utility functions for sequential decision problems.

Interval estimation for proportional reversed hazard family based on lower record values (2015)
Journal Article
Wang, B., Yu, K., & Coolen, F. (2015). Interval estimation for proportional reversed hazard family based on lower record values. Statistics and Probability Letters, 98, 115-122. https://doi.org/10.1016/j.spl.2014.12.019

This paper explores confidence intervals for the family of proportional reversed hazard distributions based on lower record values. The confidence intervals are validated as long as the sample is of size n≥3. The proposed procedure can be extended to... Read More about Interval estimation for proportional reversed hazard family based on lower record values.