8 citations · 29 across the 13 of their papers we have counts for
6 papers · 1 filter
Conditional information and definition of neighbor in categorical random fields
Reza Hosseini
We show that the definition of neighbor in Markov random fields as defined by Besag (1974) when the joint distribution of the sites is not positive is not well-defined. In a random…
Closure of Random samples
Reza Hosseini
In this paper we show that the closure of a random sample for a k-dimensional random vector is almost surely a deterministic set of all heavy points of the distribution. A heavy po…
Approximating quantiles in very large datasets
Reza Hosseini
Very large datasets are often encountered in climatology, either from a multiplicity of observations over time and space or outputs from deterministic models (sometimes in petabyte…
Divergence of sample quantiles
Reza Hosseini
We show that the left (right) sample quantile tends to the left (right) distribution quantile at p in [0,1], if the left and right quantiles are identical at p. We show that the sa…
Quantiles symmetry
Reza Hosseini
This paper finds a symmetry relation (between quantiles of a random variable and its negative) that is intuitively appealing. We show this symmetry is quite useful in finding new r…
Quantiles Equivariance
Reza Hosseini
It is widely claimed that the quantile function is equivariant under increasing transformations. We show by a counterexample that this is not true (even for strictly increasing tra…