Computing the differential of an unfolded contact diffeomorphism

Klaus Böhmer; Drahoslava Janovská; Vladimír Janovský

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)

Applications of Mathematics

Similarity:

The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of $m$ -linearly negative quadrant dependent random variables ( $m = 1, 2, \dots$ ). For a sequence of $m$ -linearly negative quadrant dependent random variables ${X_{n}, n \geq 1}$ and $1 < p < 2$ (resp. $1 \leq p < 2$ ), conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k}) \to 0$ in $L^{1}$ (resp. in $L^{p}$ ). Moreover, for $1 \leq p < 2$ , conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k})$ converges completely to $0$ . The current work extends some results of Pyke and Root (1968) and it extends and...

Displaying similar documents to “Computing the differential of an unfolded contact diffeomorphism”

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

On the order of convergence of Broyden-Gay-Schnabel's method

More on reverse triangle inequality in inner product spaces.

Displaying similar documents to “Computing the differential of an unfolded contact diffeomorphism”

Some mean convergence and complete convergence theorems for sequences of m -linearly negative quadrant dependent random variables

On the order of convergence of Broyden-Gay-Schnabel's method

More on reverse triangle inequality in inner product spaces.

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables