SPCDataModel-class: Data Model for SPC charts
Description
This is the basic structure for converting observations (data) into
updates for control charts. Classes of this type also have the
ability to generate new data sets (resampling).
Details
Every element of this class has to consist of a list of the
following functions: updates, getcdfupdates, Pofdata,
resample, xiofP, which have to be of a specific form. The arguments generally have the
following meaning: xi denotes the parameter vector needed to create
updates for running the chart from observed data, data is
observed data, P is a data model.
-
updates(xi,data): Returns updates for the chart using the parameter xi and the observed data data.
-
Pofdata(data): Estimates a probability model from the data.
- xiofP(P): Computes the parameter
xi needed to compute updates from an (estimated) probability model P.
-
resample(P): Generates a new data set from the probability model P.
-
getcdfupdates(P,xi,cadlag=TRUE): Returns the cumulative distribution function (CDF) of updates of data generated from the probability model P and computed using the parameter xi. The CDF has to be a function of one argument that also accepts vectors. If cadlag is TRUE then the CDF is right-continuous (i.e. $F(x)=P(X\le x)$). If cadlag is FALSE then the CDF is left-continuous (i.e. $F(x) = P(X