The simulation variances of the final volume considerably simplifies the solution of certain problems of reliability. The collection of information for aggregates of large volumes is impractical because of the duration and high cost. Therefore, the analysis and calculation are subjected to a representative sample. To move from sample data to finite volume population parameters, an analytical method for determining the Weibull parameters for the population was used. Analysis of the analytical method for determining the parameters of the three-parameter Weibull distribution for the aggregate confirmed the possibility of using the method of modeling statistical data of strength and life of parts and components of machines. The calculations proved that in practice it is possible to use both the value of the shift parameter and the value of the extreme terms of a number of the population.

Keywords: reliability, analytical method, simulation, General population of finite volume, the sample, the Weibull law, strength, resource, detail, Assembly, machine

In article the method of calculation gamma  percentage fatigue resource of an arrow shovel excavator for population of final volume, by means analytical method of definition parameters of Weibull distribution is offered. 
The made computing experiment has shown that the developed method allows to receive gamma percentage value of a fatigue resource of an arrow shovel excavator by means of transition from the sample data to the population data.  

Keywords: a resource, an arrow, shovel excavator, population, Weibull