Remarks on the Formula for the Moments of the Pólya Probability Distribution
Streszczenie
The probability distribution of a random variable can be characterized by some numbers called parameters of the distribution. Moments belong to the most frequently used parameters. We focus on the Pólya distribution because we can easily obtain from it, as special cases, some distributions important in statistics such as: binomial, negative binomial and Poisson (the last one in the limit procedure). In 1972 G. Mühlbach gave very interesting formulae for the moments of the Pólya distribution. The author did not investigate the evaluation of the numerical efficacy of the formula for the moments. We will show that it is possible to demonstrate this formula in a simpler form, which is important from practical point of view.