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    The Interplay Between Iconicity and Arbitrariness in Italian Sign Language (LIS) Idioms: A Theoretical Proposal for the Analysis of Signed Idioms

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    This paper investigates the relationship between iconicity and arbitrariness in the comprehension of idioms in Italian Sign Language (LIS). Unlike spoken language research on this topic, this study includes monomorphemic signs, offering a broader perspective on the phenomenon. The research explores how LIS idioms convey meaning through the visual-manual modality: the central proposal is that iconic features aid in the literal interpretation of signs, whereas arbitrary features facilitate the comprehension of idiomatic or figurative meanings – emphasizing the inherently simultaneous and visual-spatial nature of sign language expression

    A note on compatibility of conditional autoregressive models

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    Suppose that, to assess the joint distribution of a random vector (X1,,Xn)(X_1,\ldots,X_n), one selects the kernels Q1,,QnQ_1,\ldots,Q_n with QiQ_i to be regarded as a possible conditional distribution for XiX_i given (Xj:ji)(X_j:j\ne i); Q1,,QnQ_1,\ldots,Q_n are compatible if there exists a joint distribution for (X1,,Xn)(X_1,\ldots,X_n) with conditionals Q1,,QnQ_1,\ldots,Q_n. Similarly, Q1,,QnQ_1,\ldots,Q_n are improperly compatible if they can be obtained, according to the usual rule, with an improper distribution in place of a probability distribution. In this paper, compatibility and improper compatibility of Q1,,QnQ_1,\ldots,Q_n are characterized under some assumptions on their functional form. The characterization applies, in particular, if each QiQ_i belongs to a one parameter exponential family. Special attention is paid to Gaussian conditional autoregressive models
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