Theoretical Study of Some Angle Parameter Trigonometric Copulas

نویسندگان

چکیده

Copulas are important probabilistic tools to model and interpret the correlations of measures involved in real or experimental phenomena. The versatility these phenomena implies need for diverse copulas. In this article, we describe investigate theoretically new two-dimensional copulas based on trigonometric functions modulated by a tuning angle parameter. independence copula is, thus, extended an original manner. Conceptually, proposed ideal modeling into periodic, circular, seasonal We examine their qualities, such as various symmetry properties, quadrant dependence possible Archimedean nature, ordering, tail dependences, (medial, Spearman, Kendall), distribution generation. fleshed out terms data generation inference. theoretical findings supplemented some graphical numerical work. main results proved using inequality techniques that can be used other purposes.

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ژورنال

عنوان ژورنال: Modelling

سال: 2022

ISSN: ['2673-3951']

DOI: https://doi.org/10.3390/modelling3010010