Open AccessG.D. Kartashov has developed a technique to determine the rapid testing results scaling functions to the normal mode. Its feature is preliminary tests of products of one sample including tests using the alternating modes. Standard procedure of preliminary tests (researches) is as follows: n groups of products with m elements in each start being tested in normal mode and, after a failure of one of products in the group, the remained products are tested in accelerated mode. In addition to tests in alternating mode, tests in constantly normal mode are conducted as well. The acceleration factor of rapid tests for this type of products, identical to any lots is determined using such testing results of products from the same lot. A drawback of this technique is that tests are to be conducted in alternating mode till the failure of all products. That is not always is possible. To avoid this shortcoming, the Renyi criterion is offered. It allows us to determine scaling functions using the right-censored data thus giving the opportunity to stop testing prior to all failures of products.
In this work a statistical modeling of the acceleration factor estimation owing to Renyi statistics minimization is implemented by the Monte-Carlo method. Results of modeling show that the acceleration factor estimation obtained through Renyi statistics minimization is conceivable for rather large n . But for small sample volumes some systematic bias of acceleration factor estimation, which decreases with growth n is observed for both distributions (exponential and Veybull's distributions). Therefore the paper also presents calculation results of correction factors for a case of exponential distribution and Veybull's distribution.