Titlebook: Directional Statistics for Innovative Applications; A Bicentennial Tribu Ashis SenGupta,Barry C. Arnold Book 2022 The Editor(s) (if applica

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https://doi.org/10.1007/978-981-10-8908-4upport of the dictum, “A picture is worth a thousand words.” This is in many ways a companion paper to the recently published theoretical article by the authors on spherical harmonics (Jammalamadaka and Terdik in J Multivariate Anal 171:436–451, 2019 [.]). We provide computational algorithms to simu

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https://doi.org/10.1007/978-0-387-68184-9transformation of directional data to an approximate von Mises distribution. Variation about the central value of this von Mises distribution is symmetric and a single shape parameter controls the amount. The circular nature of directions requires the development of some novel transformations that a

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Stability and Progress in the World Economytral distribution that corresponds to the most uncertain or unpredictable time series with some values of the autocovariance function fixed is the .. It is thus a maximum entropy spectral distribution and the corresponding stationary time series is called the .. The generalized von Mises distributio

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Stability and Progress in the World Economytribution as a special case, which is denoted by CTP., includes sine-skewed cardioid and cosine-perturbed cardioid distributions. Although the cardioid-type product distribution is a special case of the nonnegative trigonometric sums distribution, the nonnegativity and the role of the parameters are

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The Quest for Stability: The Real Factorsmixture models allow the joint probability density functions to be represented as Fourier series easily, and this facilitates parameter estimation. A test of uniformity or isotropy of a given set of directions for one bivariate model is developed. For another bivariate model, a test of independence

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The Discussion on Professor Perroux’S Paperributions are often not suitable in practice. Furthermore, studies of most existing approaches in outlier detection have focused on symmetrically distributed circular data and the identification of a single outlier. The three-parameter generalized von Mises distribution [.] was shown to be mathemati

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