Heterogeneous uncertainties in cholesterol management

Ben‐Haim, Yakov; Dacso, Clifford C.; Carrasco, Jonathon; Rajan, Nithin

doi:10.1016/j.ijar.2009.04.002

Cited by 21 publications

(16 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, min-max and robustsatisficing are not necessarily equivalent from the decision maker's point of view. Specifically, min-max and robust-satisficing start with different information and can lead to different decisions (Ben-Haim et al 2009). …”

Section: Probability Of Survivalmentioning

confidence: 99%

Robust satisficing and the probability of survival

Ben‐Haim

2012

International Journal of Systems Science

Self Cite

View full text Add to dashboard Cite

Concepts of robustness are sometimes employed when decisions under uncertainty are made without probabilistic information. We present a theorem that establishes necessary and sufficient conditions for nonprobabilistic robustness to be equivalent to the probability of satisfying the specified outcome requirements. When this holds, probability is enhanced (or maximised) by enhancing (or maximising) robustness. Two further theorems establish important special cases. These theorems have implications for success or survival under uncertainty. Applications to foraging and finance are discussed.

show abstract

Section: Probability Of Survivalmentioning

confidence: 99%

Robust satisficing and the probability of survival

Ben‐Haim

2012

International Journal of Systems Science

Self Cite

View full text Add to dashboard Cite

show abstract

“…Notable alternative theories that similarly seek to incorporate uncertain preference within a decision making paradigm include the approaches of [18] and [4]. Rather than expressing uncertainty over an unknown utility parameter through the use of a precise prior probability distribution, Farrow and Goldstein allow the DM to remain non-committed and to instead only provide an upper and lower bound for the true utility value (through the declaration of lower and upper bounds on trade-oAE parameters in a multi-attribute utility hierarchy).…”

Section: Uncertain Utilitymentioning

confidence: 99%

Nonparametric predictive utility inference

Houlding

Coolen

2012

European Journal of Operational Research

View full text Add to dashboard Cite

We consider the natural combination of two strands of recent statistical research, i.e., that of decision making with uncertain utility and that of Nonparametric Predictive Inference (NPI). In doing so we present the idea of Nonparametric Predictive Utility Inference (NPUI), which is suggested as a possible strategy for the problem of utility induction in cases of extremely vague prior information. An example of the use of NPUI within a motivating sequential decision problem is also considered for two extreme selection criteria, i.e., a rule that is based on an attitude of extreme pessimism and a rule that is based on an attitude of extreme optimism.

show abstract

“…Summarising, Theorem 1 provides sufficient conditions for the info-gap solution, for fixed values of L c and h, to be equal to the -minimax solution: proponents of either approach are 'observationally equivalent' [2,Section 7].…”

Section: Theoremmentioning

confidence: 99%

Robust detection of exotic infectious diseases in animal herds: A comparative study of three decision methodologies under severe uncertainty

Troffaes

Gosling

2012

International Journal of Approximate Reasoning

View full text Add to dashboard Cite

When animals are transported and pass through customs, some of them may have dangerous infectious diseases. Typically, due to the cost of testing, not all animals are tested: a reasonable selection must be made. How to test effectively whilst avoiding costly disease outbreaks? First, we extend a model proposed in the literature for the detection of invasive species to suit our purpose, and we discuss the main sources of model uncertainty, many of which are hard to quantify. Secondly, we explore and compare three decision methodologies on the problem at hand, namely, Bayesian statistics, info-gap theory and imprecise probability theory, all of which are designed to handle severe uncertainty. We show that, under rather general conditions, every info-gap solution is maximal with respect to a suitably chosen imprecise probability model, and that therefore, perhaps surprisingly, the set of maximal options can be inferred at least partly-and sometimes entirely-from an info-gap analysis.

show abstract

Heterogeneous uncertainties in cholesterol management

Cited by 21 publications

References 40 publications

Robust satisficing and the probability of survival

Robust satisficing and the probability of survival

Nonparametric predictive utility inference

Robust detection of exotic infectious diseases in animal herds: A comparative study of three decision methodologies under severe uncertainty

Contact Info

Product

Resources

About