losbnd

Mean time in custody from completed and current stays

R

losbnd(done, open)

Python

crimlab.losbnd(done, open)

Command line

crimlab losbnd --done VALUE --open VALUE

The mean length of stay of the people released (or of the cases disposed) leaves out everyone still inside. Their elapsed time is a lower bound on their stay, so the mean over everyone admitted is at least lower, the mean of the completed stays and the elapsed times together; the released-only mean falls short of it by m / (n + m) times the excess of the mean elapsed time over the released mean, and understates the truth for certain when that excess is positive. No upper bound exists without a cap on how long the current stays will last. See proof("losbnd").

Parameters

done

Completed stays: non-negative numbers.

open

Elapsed time of the stays still open: non-negative numbers.

Returns

A named numeric vector: mean (of the completed stays), age (the mean elapsed time of the open ones), lower (the lower bound on the mean over all) and bias (lower - mean, the least by which the completed mean understates when it is positive).

References

Manski, C. F. (2003). Partial Identification of Probability Distributions. Springer. doi:10.1007/b97478

Examples

losbnd(done = c(30, 45, 60, 90, 120), open = c(100, 150, 200))

Generated from the R help page: losbnd in the R reference.