# Random variable Class of random variables; i.e., measurable maps from `Domain` to `Range`. The elements contained in the list `Map` are functions in one(!) argument named x . class ## Objects from the Class Objects can be created by calls of the form `new("RandVariable", ...)`. More frequently they are created via the generating function `RandVariable`. ## Slots - **`Map`**: Object of class `"list"`: list of functions. - **`Domain`**: Object of class `"OptionalrSpace"`: domain of the random variable. - **`Range`**: Object of class `"OptionalrSpace"`: range of the random variable. ## Methods - **Map**: `signature(object = "RandVariable")`: accessor function for the slot `Map`. - **Domain**: `signature(object = "RandVariable")`: accessor function for the slot `Domain`. - **Range**: `signature(object = "RandVariable")`: accessor function for the slot `Range`. - **Map<-**: `signature(object = "RandVariable")`: replacement function for the slot `Map`. - **Domain<-**: `signature(object = "RandVariable")`: replacement function for the slot `Domain`. - **Range<-**: `signature(object = "RandVariable")`: replacement function for the slot `Range`. - **compatibleDomains**: `signature(e1 = "RandVariable", e2 = "RandVariable")`: test if the domains of two random variables are compatible. - **length**: `signature(object = "RandVariable")`: length of the list of functions in slot `Map`. - **show**: `signature(object = "RandVariable")` ## Author(s) Matthias Kohl Matthias.Kohl@stamats.de ## See Also `RandVariable`, `EuclRandVariable-class`, `EuclRandMatrix-class`, `EuclRandVarList-class` ## Examples ```r (R1 <- new("RandVariable")) Map(R1) Domain(R1) Range(R1) Map(R1) <- list(function(x){ceiling(x)}, function(x){floor(x)}) Domain(R1) <- Reals() Range(R1) <- Naturals() R1 Map(R1) length(R1) R2 <- R1 Domain(R2) <- Naturals() compatibleDomains(R1, R2) Domain(R2) <- NULL compatibleDomains(R1, R2) Domain(R2) <- EuclideanSpace(dimension = 1) compatibleDomains(R1, R2) Domain(R2) <- EuclideanSpace(dimension = 2) compatibleDomains(R1, R2) ```

RandVariable-class function