Statistical fluctuations of estimators of the quantities determining distributions and correlations of partial resonances widths

Using the Monte Carlo method, the distribution of estimators of number degrees of freedom for the chi2-distribution with ν = 1, ν = 2, derived from the poor sample (n = 5;8;12) was received. The distribution of estimators of correlation coefficients, for poor samples of uncorrelated pairs of numbers drawn at random from the population governed by chi2-distribution with ν = 1, was received in the same way. Both the above mentioned problems have essential significance in neutron spectroscopy, when nuclear characters are obtained basing, as a rule, on the poor experimental data of neutron resonance widths. It was shown, that estimators derived from the poor samples can seriously differ from the expected values of characters, and in this connection certain caution in drawing conclusions and in evaluation in accurancy of derived character is required. (author)