Time stock

The term time quantity is a term used in descriptive statistics . The amount of time D is understood to be the sum of the time all objects remain in an interval . The difference between the entry time and the exit time is calculated for each object . The amount of time is then calculated as follows: ${\displaystyle [t_{1},t_{m}]}$ ${\displaystyle t_{i}^{A}}$ ${\displaystyle t_{i}^{E}}$

${\displaystyle D=\sum _{i=1}^{n}(t_{i}^{E}-t_{i}^{A})}$.

Alternatively, you can record the stocks at different times . Assuming that the stock changes uniformly in the time interval , the following applies: ${\displaystyle B_{j}}$ ${\displaystyle t_{j}}$ ${\displaystyle [t_{j},t_{j+1}]}$

${\displaystyle D=\sum _{j=1}^{m-1}B_{j}(t_{j+1}-t_{j})}$.

example

The following employees work on the first of each month in a one-year project:

	Jan	Feb	March	Apr	May	Jun	Jul	Aug	Sep	Oct	Nov	Dec	Months
A.	x	x	x	x	x	x	x	x	x	x	x	x	12
B.	x	x	x	x	x	x							6th
C.		x	x	x	x	x	x	x					7th
D.						x	x	x	x	x	x		6th
people	2	3	3	3	3	4th	3	3	2	2	2	1

The amount of time results from

${\displaystyle D=12+6+7+6=31}$ or.

${\displaystyle D=2*1+3*1+3*1+3*1+3*1+4*1+3*1+3*1+2*1+2*1+2*1+1*1=31}$ ,

d. H. a total of 31 person-months were required.

literature

• Peter P. Eckstein: Statistics Repetition: Descriptive Statistics-Stochastics-Inductive Statistics . 6th edition. Gabler Verlag, 2006, ISBN 3-8349-0464-3 .