survPMF | R Documentation |
The function computes marginal and joint probability mass functions from marginal and joint survival probabilities.
survPMF(bivarSurf)
bivarSurf |
A matrix containing the marginal and joint survival probabilities. The first column is the marginal survival probability corresponding to variable |
The function returns a list of survival surfaces and their differentials. Element Sdxdy
of this list is the marginal and joint probability mass function in the same format as argument bivarSurf
. The rest of the returned list elements are matrices in the same format as bivarSurf
except that they do not contain marginal values and row/column names.
The following list of survival surfaces and their differentials is returned. Sdxdy
is the marginal and joint probability mass functions in the same format as argument bivarSurf
; Sxy
is the joint survival probability; SxMyM
is Sxy
at point (x-, y-)
, where x-
is the left limit of x
; Sx
is the marginal survival probability function for variable X; Sy
is the marginal survival probability function for variable Y; Sdx
is the marginal probability mass function for variable X; Sdy
is the marginal probability mass function for variable Y; SxM
is the marginal survival probability function for X at point x-
; SyM
is the marginal survival probability function for Y at point y-
; SxM_y
is the joint survival probability function at point (x-, y)
; Sx_yM
is the joint survival probability function at point (x, y-)
; Sdx_y
is SxM_y - Sxy
; Sx_dy
is Sx_yM - Sxy
; Sdx_yM
is SxMyM - Sx_yM
; SxM_dy
is SxMyM - SxM_y
.
Svetlana K Eden, svetlanaeden@gmail.com
X = c(0.5, 0.6, 0.8) Y = c(0.44, 0.77, 0.99) deltaX = c(1, 0, 1) deltaY = c(1, 1, 1) bivarSurf = survDabrowska(X, Y, deltaX, deltaY)$DabrowskaEst bivarSurf bivarPMF = survPMF(bivarSurf)$Sdxdy bivarPMF
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