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Some Pitman Closeness Properties Pertinent to Symmetric Populations
Pitman closeness order statistics symmetric random variables estimators sample median more peaked distribution ranked set sampling median ranked set sampling
2012/9/19
In this paper, we focus on Pitman closeness probabilities when the estimators are symmetrically distributed about the unknown parameter θ. We first consider two symmetric estimatorsˆθ1andˆθ2...
Skew-symmetric distributions and Fisher information -- a tale of two densities
singular Fisher information skew-normal distributions skew-symmetric distributions skewing function symmetric kernel
2012/9/18
Skew-symmetric densities recently received much attention in the literature, giving rise to in-creasingly general families of univariate and multivariate skewed densities. Most of those families,howev...
Distributions that are both log-symmetric and R-symmetric
double symmetry lognormal distribution moment equivalence weighted distribution
2009/9/16
Two concepts of symmetry for the distributions of positive random variables $Y$ are log-symmetry (symmetry of the distribution of $log Y$) and R-symmetry [7]. In this paper, we characterise the distri...
Triangular systems for symmetric binary variables
Graphical Markov models linear in probability models log-linear models recursive generating processes
2009/9/16
We introduce and study distributions of sets of binary variables that are symmetric, that is each has equally probable levels. The joint distribution of these special types of binary variables, if gen...