rounding: Rounding of Numbers

In stratallo: Optimum Sample Allocation in Stratified Sampling

Rounding of Numbers

Description

Usage

round_ran(x)

round_oric(x)

Arguments

x	(numeric) numeric vector.

Value

An integer vector.

Functions

• round_ran(): Random rounding of numbers. A number x is rounded to an integer y according to the following rule:

  y = \left\lfloor x \right\rfloor + I\!\left(u < x - \left\lfloor x \right\rfloor\right),

  where the indicator function I : \{FALSE,\, TRUE\} \to \{0,\, 1\} is defined as

  I(b) := \begin{cases} 0, & b \text{ is } FALSE, \\ 1, & b \text{ is } TRUE, \end{cases}

  and u is a random number drawn from the \mathrm{Uniform}(0, 1) distribution.

• round_oric(): Optimal rounding under integer constraints, as proposed by \insertCiteCont;textualstratallo.

References

\insertRef

Contstratallo

Examples

x <- c(4.5, 4.1, 4.9)

set.seed(5)
round_ran(x) # 5 4 4

set.seed(6)
round_ran(x) # 4 4 5

round_oric(x) # 4 4 5

stratallo documentation built on March 12, 2026, 5:06 p.m.