On third order rotatability

A Measure of Rotatability for Second Order Response Surface Designs

Quantum Rotatability

In [11], Köstler and Speicher showed that de Finetti’s theorem on exchangeable sequences has a free analogue if one replaces exchangeability by the stronger condition of invariance of the joint distribution under quantum permutations. In this paper we study sequences of noncommutative random variables whose joint distribution is invariant under quantum orthogonal transformations. We prove a fre...

Third Order Optical Nonlinearities

V. OPTICAL KERR EFFECT ........................................................................................................................... 11 • BOUND ELECTRONIC OPTICAL KERR EFFECT IN SOLIDS.................................................................................... 11 • RE-ORIENTATIONAL KERR EFFECT IN LIQUIDS ........................................................................

Third-order Efficiency Implies Fourth-order Efficiency

Takeuchi [37], Takeuchi and Akahira [38] and Pfanzagl [27] among others proved that any rst-order ecient estimators are second-order ecient. Many authors e.g., Ghosh [15], have conjectured that any third-order ecient estimators are fourth-order ecient. Based on concentration probability of estimators about a true parameter, this paper gives a positive answer to the conjecture in a curved expone...

on a characteristic problem for a third order pseudoparabolic equation

in this paper, we investigate the goursat problem in the class c21(d)cn0 (d  p) c00 (d q)for a third order pseudoparabolic equation. some results are given concerning the existence and uniquenessfor the solution of the suggested problem.