Algorithm for Finding the Proper Continuous Distribution Function to a Unimodal Empirical Distribution Function

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dr._zoltan_istvan_szabo
dr._zoltan_istvan_szabo
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Dr. Zoltan Istvan Szabo
Dr. Zoltan Istvan Szabo
1 Debrecen University

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GJSFR Volume 10 Issue 5

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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.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

dr._zoltan_istvan_szabo. 1970. \u201cAlgorithm for Finding the Proper Continuous Distribution Function to a Unimodal Empirical Distribution Function\u201d. Unknown Journal GJSFR Volume 10 (GJSFR Volume 10 Issue 5): .

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September 14, 2010

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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.

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Algorithm for Finding the Proper Continuous Distribution Function to a Unimodal Empirical Distribution Function

Dr. Zoltan Istvan Szabo
Dr. Zoltan Istvan Szabo

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