best.pair.tt {NPIstats}

NPI for comparing two groups with terminated tails

Description

NPI lower and upper probabilities for the event that the next future observation from group Y is larger than the next future observation from group X. The information available consists of precise measurements of real-valued data only within a specific range, between the cut points, where the numbers of observations to the left and to the right of this range available.

Usage

best.pair.tt(X, Y, Lx = -Inf, Ux = Inf, Ly = -Inf, Uy = Inf)

Arguments

X

numeric vector of data values

Y

numeric vector of data values, to check if it is the best group

Lx

numeric value, lower cut point for group X, default set to -Inf

Ux

numeric value, upper cut point for group X, default set to Inf

Ly

numeric value, lower cut point for group Y, default set to -Inf

Uy

numeric value, lower cut point for group Y, default set to Inf

Value

NPI lower and upper probabilities for the event that the next future observation from group Y is larger than the next future observation from group X.

References

T.A. Maturi, P. Coolen-Schrijner and F.P.A. Coolen (2009). Nonparametric predictive pairwise comparison with terminated tails. International Journal of Approximate Reasoning, 51(1), 141-150.

Examples

data(BreakdownTimes)
data2<-split(BreakdownTimes$times, BreakdownTimes$group)
# No terminated tails, complete data
best.pair.tt(data2$X, data2$Y)
# terminated tails with Ly = 0.5, Uy = 4 and Ux = 10, but as Lx is not given then Lx=-Inf
best.pair.tt(data2$X, data2$Y, Ux = 10, Ly = 0.5, Uy = 4)