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The Empirical Characteristic Function and Large Sample Hypothesis Testing

Year: 2024

Type: article

Abstract: Many properties of distribution functions can be characterized in terms of their characteristic functions. This suggests that statistical inference about such properties might utilize the characteristic function. This requires that some means be found to gather information about the characteristic function from a random sample. In this investigation, the empirical characteristic function is proposed to do this.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.14506987

Authors: Sayfullayeva, Gulnoz, Zayniddinova, Dinara, Fayzullayeva, Sevara

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893242404

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