Mathematics and Statistics Vol. 1(4), pp. 185 - 187
DOI: 10.13189/ms.2013.010402
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Several Methods of Determining the Continuous or Discrete Distribution

Sergey Akimov 1, Olga Kvan 2,*
1 Postgraduate of Management and Informatics in Technical Systems Department, Faculty of Informational Technology, Orenburg State University
2 Bioelementoligy institution of Orenburg State University,Orenburg State University, 460018 , Orenburg , 13 Pobeda avenue


The article is about the problem of calculating the probability of discreteness and continuity sample from the general totality. There is a definition of discreteness. The main task of research is the definition of continuity or discreteness of unknown data. We consider the existing methodology as a method of finding the frequency of repetition of individual values variants of totality under test. The presented procedure is mathematically described. The basic disadvantage of this procedure: this procedure has great difficulties in interpreting the results. Based on the foregoing, the task of creating an algorithm determining the continuous or discrete becomes very important. The new algorithm is also based on the search for a match in the data array. However, now we use not only the array, but the quantity of changes between two successive values. To do it we need a sorting procedure of array from a minimum value to maximum one. In addition, we introduce the concept of "step" as a minimum amount of change between two values in the discrete series. An iterative method for detecting the matches in the array and defining the identity of the changes of the neighboring values is proposed in the article. Thus we have obtained three key values that define the continuity or discreteness. It has been found empirically that each of these values change its sensitivity based on the number of observations in the array. We also identified factors, which usage as (dependence on the number of values in the data) helps to attribute data array to the continuous or discrete distribution.

Discreteness, Continuity, Interval, Algorithm

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Sergey Akimov , Olga Kvan , "Several Methods of Determining the Continuous or Discrete Distribution," Mathematics and Statistics, Vol. 1, No. 4, pp. 185 - 187, 2013. DOI: 10.13189/ms.2013.010402.

(b). APA Format:
Sergey Akimov , Olga Kvan (2013). Several Methods of Determining the Continuous or Discrete Distribution. Mathematics and Statistics, 1(4), 185 - 187. DOI: 10.13189/ms.2013.010402.