truncate

truncate, function

def pure truncate(d: ranvar, low: number, high: number): ranvar

Returns the conditional ranvar of d restricted to [low, high].

Example

d = ranvar.uniform(1, 6)
dTrunc = truncate(d, 2, 4)

show summary "Means" with
  mean(d) as "raw"
  mean(dTrunc) as "truncated"

This outputs the following list:

Remarks

truncate(d, low, high) redistributes mass inside [low, high], unlike min(max(d, low), high) which piles mass on the bounds.

If low is above the support of d, the result is dirac(low). If high is below the support of d, the result is dirac(high).

Decimal bounds are supported and equivalent to truncate(d, floor(low), ceiling(high)).

Errors

If low > high, Envision reports:

truncate(_, 9, 7): expected 9 smaller or equal to 7.

See also

• min
• max
• quantile