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Form-invariance under weighted sampling
Authors:S. M.R. Alavi
Affiliation:Department of Statistics , University of Shahid Chamran , Ahvaz, Iran
Abstract:In this paper, form-invariant weighted distributions are considered in an exponential family. The class of bivariate distribution with invariant property is identified under exponential weight function. The class includes some of the custom bivariate models. The form-invariant multivariate normal distributions are obtained under a quadratic weight function.
Keywords:weighted distributions  bivariate weighted distributions  form-invariance  exponential weight function  weighted multivariate normal
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