2 resultados para Sculpture, Classical

em CORA - Cork Open Research Archive - University College Cork - Ireland


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For two multinormal populations with equal covariance matrices the likelihood ratio discriminant function, an alternative allocation rule to the sample linear discriminant function when n1 ≠ n2 ,is studied analytically. With the assumption of a known covariance matrix its distribution is derived and the expectation of its actual and apparent error rates evaluated and compared with those of the sample linear discriminant function. This comparison indicates that the likelihood ratio allocation rule is robust to unequal sample sizes. The quadratic discriminant function is studied, its distribution reviewed and evaluation of its probabilities of misclassification discussed. For known covariance matrices the distribution of the sample quadratic discriminant function is derived. When the known covariance matrices are proportional exact expressions for the expectation of its actual and apparent error rates are obtained and evaluated. The effectiveness of the sample linear discriminant function for this case is also considered. Estimation of true log-odds for two multinormal populations with equal or unequal covariance matrices is studied. The estimative, Bayesian predictive and a kernel method are compared by evaluating their biases and mean square errors. Some algebraic expressions for these quantities are derived. With equal covariance matrices the predictive method is preferable. Where it derives this superiority is investigated by considering its performance for various levels of fixed true log-odds. It is also shown that the predictive method is sensitive to n1 ≠ n2. For unequal but proportional covariance matrices the unbiased estimative method is preferred. Product Normal kernel density estimates are used to give a kernel estimator of true log-odds. The effect of correlation in the variables with product kernels is considered. With equal covariance matrices the kernel and parametric estimators are compared by simulation. For moderately correlated variables and large dimension sizes the product kernel method is a good estimator of true log-odds.

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This paper examines the creation of religious place. It argues that the designation of a place as “religious” is a subjective and creative act which is dependent upon the perception and past, or memory, of the viewer. The paper focuses specifically on the creation of public places of worship by Hindu groups in the Dublin city area of Ireland and on the varied perceptions of the Indian Sculpture Park in County Wicklow. The creation of public places of worship results in places classified as “religious” due to the intention of the creator, the terminology used and the types of activities that take place in the space. This is in contrast to places such as the Indian Sculpture Park in County Wicklow which was created as a secular space but which is viewed by some Hindus as an outdoor temple due to the presence of sculptures of the Hindu deity Ganesh. Other Hindus do not view the space as having any religious significance and so its religiosity is contested. This points to the fact that the creation of religious place is a creative act of interpretation which is dependent upon the perception and past of the viewer and which changes over time.