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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Statistics of Orientation Relationships in Crystallographyhis rotation is known only up to multiplication by an element of the symmetry group. The first part of this paper summarises the embedding approach to studying crystallographic orientations. The second part introduces methods for handling the crystallographic orientations of pairs of crystals, for w

insular

Antioxidant

extrovert

Resistance

Simulation and Visualization of 3D-Spherical Distributionsupport 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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Information Theoretic Results for Stationary Time Series and the Gaussian-Generalized von Mises Timetral 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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On Some Flexible Models for Circular, Toroidal, and Cylindrical Data new toroidal distributions as an extension of the existing toroidal distribution is constructed with some statistical properties as well as their joint cylindrical models. The properties including marginal and conditional distributions, circular correlation, and random number generations are invest