| Abstract [eng] |
While we were analyzing J. Hajeks’ theorem about convergence to the Poison distribution, we noticed that this theorem was demonstrated to the sample from the finite population consisting of whole numbers. Majority of observed samples elements are real numbers. Therefore, we demonstrated J. Hajeks’ theorem for the samples from quasi-grating populations in our work. Also, two theorems were demonstrated for the different sets and we obtained that probability of the sum of the sample elements, which is equal to the real number, converges to the Poison distribution. |
