Uniform distribution in the n-dimensional torus

The Uniform-Pareto Distribution and Eeponentiated Uniform-Pareto Distribution and Their Application in Income Data

‎In this paper‎, ‎a new distribution is introduced‎, ‎which is a generalization of a well-known distribution‎. ‎This distribution is flexible and applies to income data modeling‎. ‎We first provide some of the mathematical and distributional properties of this new model and then‎, ‎to demonstrate the flexibility the new distribution‎, ‎we will present the applications of this distribution with ...

The infinite-dimensional torus

The loop - erased random walk and the uniform spanning tree on the four - dimensional discrete torus

Let x and y be points chosen uniformly at random from Z4n, the four-dimensional discrete torus with side length n. We show that the length of the loop-erased random walk from x to y is of order n(logn), resolving a conjecture of Benjamini and Kozma. We also show that the scaling limit of the uniform spanning tree on Z4n is the Brownian continuum random tree of Aldous. Our proofs use the techniq...

Record Range of Uniform Distribution

We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will c...

Investigation of the prevalence of Torus Mandibularis and Torus palatinus in Attendants of rafsanjan Dental school

the prevalence of Torus palatinus and Torus Mandibularis is widely different in various populations and races.this descriptive study was performed in 1999,to investigate the the prevalence of Torus Mandibularis and Torus palatinus in patients referring to Rafsanjan dental school.584 patients(268 men and 316 women) which were over 18 years old were examined.the information recorded in the questi...