The modified scale n.a. prof. V.A. Yadov using for the theoretical distributions creation in the turbulent economics

Abstract

In the current social and economic conditions, academic and corporative practice the prospects of some variation series alignment methods and the goodness-of-fit tests line using are particularly defined by the available number of elements sets. Usually for the ultrasmall sample size which units number doesn't exceed twenty-five the problem of relation estimation becomes complicated with the current "turbulent economy" features when the stable trends duration of the analyzed sets often doesn't exceed several units. In these conditions even the Romanovsky and Pearson fitting criterion using will be concerned with the cases of discrepancy to its calculated and tabular values. During the pandemic period the data sets could be even smaller than usual, so here we propose to use the modified scale n.a. prof. V.A. Yadov which could estimate the correlation between the nature of sample representativeness in a linguistic scale and its error size in the interval scale in percentage points. In this case we offer to modify a scale with the specification of a linguistic variable terms names: an error size up to three percent could be characterized as a "minimum deviation"; from three percent to ten percent as the "usual deviations"; from ten percent to twenty percent as "tentative estimation deviations"; from twenty percent to forty percent as "evaluative deviations" and in the case of error more than forty percent as the "rough deviations". With such approach the goodness-of-fit tests computed results have the special sense also for the analyzed short statistical series.