Consider the following scenario: Suppose that the base has been adjusted by the base . Occasionally we will be concerned with partial adjustments, and to this purpose for the partial adjustment results we suppose that we adjust initially by the base , and then partially by base ; and that represents the complete adjustment by the base . Suppose that the notional sample size is potential observations on each element of .
BD>option cd switches on standard canonical direction output.
BD>option cd+ switches on extended canonical direction output.
BD>show (cd ) displays standard canonical direction output for the current adjustment.
BD>show (cd+ ) displays extended canonical direction output for the current adjustment.
The cd and cd+ options yield the canonical resolutions and directions for the current adjustment. (See [31][section 3.6].) The standard output consists of the resolutions only; and the extended output of the resolutions with the corresponding directions represented as linear combinations of the elements of . The directions are uncorrelated and are scaled so that each has prior variance unity. The option is ignored when there is no adjustment.
Usage
BD>option cd* switches on standardised canonical direction output.
BD>option -cd* switches off standardised canonical direction output.
BD>show (cd* ) displays standardised canonical direction output for the current adjustment.
The cd* option yields the standardised canonical resolutions and directions for the current adjustment. The directions are ouput as linear combinations of the elements of , standardised such that each element has prior expectation zero and prior variance unity. The directions are uncorrelated and are scaled so that each direction has prior variance unity. The option is ignored when there is no adjustment.
Usage
The e option is used to display the adjusted expectation for every element for the current adjustment, . It is shown as a linear combination of the elements of the base . (See [31][sections 3.1, 3.2].) It is one of the options usable with the VARYSIZE: command. The e* option provides the same output in standardised form.
Usage
BD>option e* switches on standardised adjusted expectation output.
BD>option -e* switches off standardised adjusted expectation output.
BD>show (e* ) displays standardised adjusted expectation output for the current adjustment.
The e* option is used to display the standardised adjusted expectation for every element for the current adjustment, . It is shown as a linear combination of the standardised elements of the base , standardised so that every element has prior expectation zero and variance unity. (See [31][sections 3.1, 3.2].) It is one of the options usable with the VARYSIZE: command. The e option provides similar output.
Usage
BD>option cde switches on adjusted expectation output for the canonical quantities.
BD>option -cde switches off adjusted expectation output for the canonical quantities.
BD>show (cde ) displays adjusted expectation output for the canonical quantities of the current adjustment.
The cde option is used to display the adjusted expectation for every canonical quantity for the current adjustment. It is shown as a linear combination of the elements of the base . The cde* option provides the same output in standardised form.
Usage
BD>option cde* switches on standardised adjusted expectation output for the canonical quantities.
BD>option -cde* switches off standardised adjusted expectation output for the canonical quantities.
BD>show (cde* ) displays standardised adjusted expectation output for the canonical quantities of the current adjustment.
The cde* option is used to display the standardised adjusted expectation for the canonical quantities for the current adjustment, . It is shown as a linear combination of the standardised elements of the base , standardised so that every element has prior expectation zero and variance unity. The cde option provides similar output.
Usage
BD>option bases enable the display of base titling for adjustments.
BD>option -bases disable the display of base titling for adjustments.
BD>show (bases ) displays the names of the elements and bases involved in the current adjustment.
The bases option is used to provide titling and an indication of the base being adjusted and the current fit. It is one of the options usable with the VARYSIZE: command.
Usage
BD>option mcd switches on standard maximal canonical direction output.
BD>option mcd+ switches on extended maximal canonical direction output.
BD>option -mcd switches off maximal canonical direction output.
BD>show (mcd ) displays standard maximal canonical direction output for the current adjustment.
BD>show (mcd+ ) displays extended maximal canonical direction output for the current adjustment.
The mcd and mcd+ options yield the maximal canonical resolutions and directions for the current maximal adjustment. The standard output consists of the resolutions only; and the extended output of the resolutions with the corresponding directions represented as linear combinations of the elements of . The directions are uncorrelated and are scaled so that each has prior variance unity. The option is ignored when there is no maximal adjustment.
Usage
BD>option mcd* switches on standardised maximal canonical direction output.
BD>option -mcd* switches off standardised maximal canonical direction output.
BD>show (mcd* ) displays standardised maximal canonical direction output for the current adjustment.
The mcd* option yields the standardised maximal canonical resolutions and directions for the current adjustment. The directions are ouput as linear combinations of the elements of , standardised such that each element has prior expectation zero and prior variance unity. The directions are uncorrelated and are scaled so that each direction has prior variance unity. The option is ignored when there is no adjustment.
Usage
BD>option -mrm switches off maximal resolution matrix output.
BD>show (mrm ) displays the maximal resolution matrix for the current adjustment.
The mrm option is available in the case of exchangeability to display the maximal resolution matrix for the full adjustment. For the full rank case, this is equal to
Usage
BD>option pcd switches on standard partial canonical direction output.
BD>option pcd+ switches on extended partial canonical direction output.
BD>option -pcd switches off partial canonical direction output.
BD>show (pcd ) displays standard partial canonical direction output for the current adjustment.
BD>show (pcd+ ) displays extended partial canonical direction output for the current adjustment.
The pcd and pcd+ options yield the partial canonical resolutions and directions for the current partial adjustment. (See [31][section 5.3].) The standard output consists of the resolutions only; and the extended output of the resolutions with the corresponding directions represented as linear combinations of the elements of . The directions are uncorrelated and are scaled so that each has prior variance unity. The option is ignored when there is no partial adjustment.
Usage
BD>option pcd* switches on standardised partial canonical direction output.
BD>option -pcd* switches off standardised partial canonical direction output.
BD>show (pcd* ) displays standardised partial canonical direction output for the current adjustment.
The pcd* option yields the standardised partial canonical resolutions and directions for the current adjustment. The directions are ouput as linear combinations of the elements of , standardised such that each element has prior expectation zero and prior variance unity. The directions are uncorrelated and are scaled so that each direction has prior variance unity. The option is ignored when there is no adjustment.
Usage
BD>option -prm switches off partial resolution matrix output.
BD>show (prm ) displays the partial resolution matrix for the current partial adjustment.
The prm option is used to display the partial resolution matrix for a partial adjustment. For the full rank case, this is equal to
Usage
BD>option pv switches on partial adjustment variance output.
BD>option -pv switches off partial adjustment variance output.
BD>show (pv ) displays partial adjustment variance output for the current adjustment.
The pv option is only available when there is both a previous and a current adjustment, and is not available for the iterative algorithm. It displays the effects of the partial adjustment on several variance and uncertainty quantities. It is one of the options usable with the VARYSIZE: command.
For every element the output consists of the element's name ; the adjustment variance for the initial adjustment: ; the adjustment variance following the additional adjustment by : ; the difference between these two quantities, being ; the partial resolution ; and finally a term amounting to the resolution for the adjusted version of given for an adjustment by : that is, . (See [48][section 13]).
Additionally, analagous results for the entire structure are shown. These consist of the the name of the structure: ; the uncertainty in unresolved after the initial adjustment: ; the uncertainty in unresolved after the full adjustment: ; the difference between these two uncertainties, being ; the partial system resolution ; and the resolution for the adjusted version for the adjustment by , being .
Usage
For every element the output given by the rp option shows the contribution made by each canonical direction to the resolution of . That is, suppose that there are g canonical directions and that the canonical resolutions are . Then we can write
and we take the quantity to be the contribution in the direction. The rp control can be used to limit the number of contributory directions. The rp operator can be used to access individual contributions.
Usage
BD>option lccd switches on element/canonical quantity covariance output.
BD>option -lccd switches off element/canonical quantity covariance output.
BD>show (lccd ) displays the element/canonical quantity covariance output for the current adjustment.
The lccd option is used to display covariances between the elements of the collection B being adjusted, and the canonical quantities for the adjustment.
Usage
The ru option is used to display a one-line summary of the current fit. The potential sample size is reported together with the resolved uncertainty for the system, ; the resolution for the system, (expressed as a percentage); and the initial uncertainty for the system, . It is one of the options usable with the VARYSIZE: command.
Usage
The rm option is used to display the (generally asymmetric) resolution matrix for the full adjustment. For the full rank case, this is equal to
Usage
BD>option v switches on standard adjustment variance output.
BD>option v+ switches on extended adjustment variance output.
BD>show (v ) displays standard adjustment variance output for the current adjustment.
BD>show (v+ ) displays extended adjustment variance output for the current adjustment.
The v and v+ options display information about the variances for the current adjustment. For each element the standard output displays the name of the element and its current adjusted variance, . The extended output also displays its resolved variance, ; and its resolution . In the case of exchangeability, also given is the maximal resolution for , (representing the maximum resolution possible with an essentially infinite sample size). (See [31][section 3.3].)
In addition various uncertainties for the overall belief structure are presented. These are the name of the structure being adjusted; its prior, unresolved and resolved uncertainty respectively ( , , and ); and its current system resolution, . In the case of exchangeability, also shown is the system maximal resolution, . (See [31][section 3.7] and [48][section 10.3].)
The v option can be used in both standard and extended modes as one of the options usable with the VARYSIZE: command.