scott and szewczyk in technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f< >=< >< >wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞< >=∫sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .however, due to some restrictions on the value of parameters and the kind of densities, ...

‎the main purpose of this note is to establish some bounds in poisson approximation for row-wise arrays of independent geometric distributed random variables using the operator method‎. ‎some results related to random sums of independent geometric distributed random variables are also investigated.

We introduce a dual notion of the Poisson algebra, called transposed by exchanging roles two binary operations in Leibniz rule defining algebra. The algebra shares common properties and arises naturally from Novikov-Poisson taking commutator Lie Novikov Consequently, classic construction commutative with commuting derivations similarly applies to More broadly, captures algebraic structures when...

A smooth manifold M is endowed by a Poisson pair if two linearly independent bivectors c1, c2 are defined on M and moreover cλ = λ1c1+ λ2c2 is a Poisson bivector for any λ = (λ1, λ2) ∈ R 2. A bihamiltonian structure J = {cλ} is the whole 2-dimensional family of bivectors. The structure J (the pair (c1, c2)) is degenerate if rank cλ < dim M,λ ∈ R 2. The degenerate bihamiltonian structures play i...