Rates of convergence of the distribution of the extreme order statistic to its limit distribution are given in the uniform metric and the total variation metric. A second{order regular variation condition is imposed by supposing a von Mises type condition which allows a uniied treatment. Rates are constructed from the parameters of the second{order regular variation condition. Some connections ...

Inequality is an important threat to the globalization of the world economy that we experience today. This contribution uses the coefficient of height variation as a measure of inequality. This indicator covers not only wage recipients, but also the selfemployed, the unemployed, housewives, children, and other groups who may not participate in a market economy, for the period 1950–79, for which...

For the p-system with large BV initial data, an assumption introduced in [3] by Bakhvalov guarantees the global existence of entropy weak solutions with uniformly bounded total variation. The present paper provides a partial converse to this result. Whenever Bakhvalov’s condition does not hold, we show that there exist front tracking approximate solutions, with uniformly positive density, whose...

1. Introduction It has long been observed that the phonology of a language is not completely uniform. In addition to well-studied free variation in pronunciation of certain words or word classes, phonological patterns can vary by register, morphological category (e.g., noun vs. verb), lexical stratum (native vs. foreign), morphological class (stem vs. affix, reduplicant vs. base), and so forth....

We study the change of variable formula from [9, 10] in the setting where X = (X1 t , . . . , X n t )t≥0 is a continuous Rn valued semimartingale of which the first n− 1 components are of bounded variation. Given two (or more) continuous surfaces b1, b2 : Rn−1 → R that could intersect, let F : Rn → R be a continuous function which is C1,...,1,2 at all points x ∈ Rn such that xn 6= b1(x1, . . . ...

Motivated by problems in the spectral theory of linear operators the authors previously introduced a new concept of variation for functions defined on a nonempty compact subset of the plane. In this paper we examine the algebras of functions of bounded variation one obtains from these new definitions for the case where the underlying compact set is either a rectangle or the unit circle, and com...

Synopsis The Dekaaz poetic form, similar to haiku with its constrained syllable counts per line, invites a connection between poetry and mathematics. Determining the number of possible Dekaaz variations leads to some interesting counting observations. We discuss two different ways to count the number of possible Dekaaz variations, one using a binary framework and the other approaching the count...

This paper discusses a new notion of quadratic variation and covariation for Banach space valued processes (not necessarily semimartingales) and related Itô formula. If X and Y take respectively values in Banach spaces B1 and B2 and χ is a suitable subspace of the dual of the projective tensor product of B1 and B2 (denoted by (B1⊗̂πB2) ), we define the so-called χ-covariation of X and Y. If X = ...

This paper provides an extension of a function u ∈ BVH (Ω) to a function u0 ∈ BVH(G), when Ω ⊂ G is “H-admissibile,” and G is a step 2 Carnot Group. It is shown that H-admissible domains include noncharacteristic domains and domains in groups of Heisenberg type which have a partial symmetry about characteristic points. An example is given of a domain Ω that is C, α < 1, that is not H-admissible...

In this paper, we study the new subclasses of analytic functions in the unit disk E by using Carlson Shaffer operator and generalized Janowski functions. These new analytic classes relates with the concept of functions of bounded radius rotation and bounded Mocanu variation. Inclusion results and convolution invariant property are investigated.