Can't you just generate 10 values in (0,55), sort them, generate the distances, add 5 and cumulate?
> x <- sort(runif(10,0,55)) > d <- diff(x)+5 > cumsum(c(x[1],d)) [1] 12.27815 21.21060 26.37856 36.03812 41.97237 57.02945 67.86113 [8] 75.74085 81.28533 98.30792 > On 3 Jun 2025, at 09.21, Brian Smith <briansmith199...@gmail.com> wrote: > > Hi Richard, > > Thanks for your insight. > > As I mentioned in one of my earlier emails to the group, I imposed a > constraint of accuracy up to two decimal places in order to obtain a > finite set of possible values. For instance, if I were to round values > to zero decimal places, the number of unique sequences that could be > generated would be strictly finite and quite limited. Therefore, I > chose a precision of two decimal places to allow for a larger but > still finite number of possibilities. > > > Now, my question is: how can this accuracy constraint be imposed effectively? > > Is the only practical method to generate samples, round each to two > decimal places, and then check for duplicates to ensure uniqueness? If > so, I’m concerned this might be inefficient, as many samples could be > discarded, making the process time-consuming. > > Is there a better or more efficient way to directly enforce this > constraint while generating the values? > > ________________________________ > > Additionally, could you please elaborate on your suggestion regarding > imposing minimum gap constraints by subtracting and then adding back > certain gaps? > > > For example, based on your earlier guidance, one possible sequence I > obtained is: > > > 10.07181, 14.49839, 14.74435, 18.75167, 42.70361, 55.79623, 63.40264, > 68.62261, 92.49899, 98.29308 > > > Now, I’d like to post-process this sequence to enforce a minimum > difference constraint of, say, 5 units between values (including both > lower and upper bounds). > > What would be the appropriate way to modify the sequence to impose > this kind of constraint? > > > Many thanks for your time and insight. > > On Tue, 3 Jun 2025 at 10:42, Richard O'Keefe <rao...@gmail.com> wrote: >> >> PS I forgot about the weird gaps requirement. >> What you do is subtract the gaps off and then add them back. I hope that is >> clear. >> >> On Sun, 1 Jun 2025 at 6:52 AM, Brian Smith <briansmith199...@gmail.com> >> wrote: >>> >>> Hi, >>> >>> Let say I have a range [0, 100] >>> >>> Now I need to simulate 1000 10 mid-points within the range with >>> accuracy upto second decimal number. >>> >>> Let say, one simulated set is >>> >>> X1, X2, ..., X10 >>> >>> Ofcourrse >>> >>> X1 < X2 < ... <X10 >>> >>> I have one more constraint that the difference between any 2 >>> consecutive mid-points shall be at-least 5.00. >>> >>> I wonder if there is any Statistical theory available to support this >>> kind of simulation. >>> >>> Alternately, is there any way in R to implement this? >>> >>> ______________________________________________ >>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see >>> https://stat.ethz.ch/mailman/listinfo/r-help >>> PLEASE do read the posting guide >>> https://www.R-project.org/posting-guide.html >>> and provide commented, minimal, self-contained, reproducible code. > > ______________________________________________ > R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide https://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. -- Peter Dalgaard, Professor, Center for Statistics, Copenhagen Business SchoolSolbjerg Plads 3, 2000 Frederiksberg, Denmark Phone: (+45)38153501 Office: A 4.23 Email: pd....@cbs.dk Priv: pda...@gmail.com ______________________________________________ R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide https://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
