moment

the moment of given order k is computed by numeric integration or summation (in case of discrete distributions)

Construction and analysis of multivalued zero-sum matrix games over the abstract space of probability distributions, which describe the losses in each scenario of defense vs. attack action. The distributions can be compiled directly from expert opinions or other empirical data (insofar available). The package implements the methods put forth in the EU project HyRiM (Hybrid Risk Management for Utility Networks), FP7 EU Project Number 608090. The method has been published in Rass, S., König, S., Schauer, S., 2016. Decisions with Uncertain Consequences-A Total Ordering on Loss-Distributions. PLoS ONE 11, e0168583. <doi:10.1371/journal.pone.0168583>, and applied for advanced persistent thread modeling in Rass, S., König, S., Schauer, S., 2017. Defending Against Advanced Persistent Threats Using Game-Theory. PLoS ONE 12, e0168675. <doi:10.1371/journal.pone.0168675>. A volume covering the wider range of aspects of risk management, partially based on the theory implemented in the package is the book edited by S. Rass and S. Schauer, 2018. Game Theory for Security and Risk Management: From Theory to Practice. Springer, <doi:10.1007/978-3-319-75268-6>, ISBN 978-3-319-75267-9.

Stefan Rass

HyRiM

Multicriteria Risk Management using Zero-Sum Games with
Vector-Valued Payoffs that are Probability Distributions

moment function

<dl> <dt>ld</dt>
<dd>the loss distribution as obtained from <code>lossDistribution</code> or <code>mgss</code>.</dd> <dt>k</dt>
<dd>the order of the moment (must be an integer \(\geq 1\))</dd></dl>

Arguments

Author

compute moments of loss distributions — moment

<dl>

 <dt>ld</dt>
<dd>the loss distribution as obtained from <code>lossDistribution</code> or <code>mgss</code>.</dd>

 <dt>k</dt>
<dd>the order of the moment (must be an integer \(\geq 1\))</dd>

</dl>

moment: compute moments of loss distributions

Description

Usage

Value

Arguments

Author

See Also

Examples