Research
Various for 9
If we multiply the number n=3529411764705882 by 2, then the result m=2n=7058823529411764 will contain the same digits. Moreover, we can cut n into two section n=bd with b=3529411764 and d=705882 such that m contains the same sections in reverse order: m=db.
Algorithm for Finding the Proper Continuous Distribution Function to a Unimodal Empirical Distribution Function
We present an algorithm containing the first step towards solving one of the Fundamental Problems of Non-parametric Mathematical Statistics: determining the distribution of an unknown unimodal continuous population from which we have a large random sample of discrete observations. We will present the "algorithm of non-fitting" with the help of which, by using the so-called relative increment functions as auxiliary functions, one can eliminate a large class of classical continuous unimodal distributions which our population does not belong to. In the remaining class of unimodal and smooth distributions one can approximate the distribution of the population in question. The algorithm is illustrated in three numerical examples.
