This paper investigates the relation between hypothesis testing and the construction of confidence intervals, with particular regard to bootstrap tests. In practice, confidence intervals are almost always based on Wald tests, and consequently are not invariant under nonlinear reparametrisations. Bootstrap percentile-t confidence intervals are an instance of this. However, the (asymptotically) p...

On the background of a brief survey panorama results on topic in title, one new theorem is presented concerning positive topological entropy (i.e. chaos) for impulsive differential equations Cartesian product compact intervals, which positively invariant under composition associated Poincaré translation operator with multivalued upper semicontinuous mapping.

We show that the Jones-Wassermann subfactors for disconnected intervals, which are constructed from the representations of loop groups of type A, are finite-depth subfactors. The index value and the dual principal graphs of these subfactors are completely determined. The square root of the index value in the case of two disjoint intervals for vacuum representation is the same as the Quantum 3-m...

Conditions are investigated which guarantee exactness for measurable maps on measure spaces. The main application is to certain piecewise continuous maps T on [0,1] for which 7"(0) > 1. We assume [0,1] can be broken into intervals on which T is continuous and convex and at the left end of these intervals T = 0 and dt/dx > 0. Such maps have an invariant absolutely continuous density which is exact.

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

An algorithm is proposed for determining small-sample confidence intervals for the difference of two binomial success probabilities based on and trials, respectively. The interval covers the true with probability at least for all ! ; it is invariant with respect to relabeling of the two populations and with respect to interchanging the outcomes of success and failure intervals. Coverage and exp...

Abstract The long time behaviour of solutions to generalized stochastic porous media equations on bounded intervals with zero Dirichlet boundary conditions is studied. We focus a degenerate form nonlinearity arising in self-organized criticality. Based the so-called lower bound technique, existence and uniqueness an invariant measure proved.

This paper attempts to provide an additional insight into properties of exceedances and placement statistics described in Bairamov and Eryılmaz (2000). The importance of these concepts in construction of non-parametric tests of equality (identity) of distributions has been demonstrated by Katzenbeisser (1985), (1986), Matveychuk and Petunin (1990), Johnson and Kotz (1991), (1994), Wesolowsky an...