Helmut Strasser

Mathematical theory of statistics : statistical experiments and asymptotic decision theory

Asymptotic Decision Theory Helmut Strasser Walter de Gruyter, 1985 http://bit.ly/9S1POqc / http://goo.gl/kVKDq / http://www.alibris.co.uk/booksearch?browse=0&keyword=Mathematical+Theory+of+Statistics%3A+Statistical+Experiments+and+Asymptotic+Decision+Theory&mtype=B&hs.x=24&hs.y=18&hs=Submit DOWNLOAD http://ow.ly/ucCsh http://www.fishpond.co.nz/Books/Mathematical-Theory-of-Statistics-Statistical-Experiments-and-Asymptotic-Decision-Theory

A nonparametric approach to perceptions-based market segmentation : foundations

Perceptual market structure and strategy formation (J. A. Mazanec): Market segmentation Getting prepared for PBMS The analytical challenges Conventional methodology Implementing PBMS.- Statistical Foundations (H. Strasser): Reduction of Complexity Analysis of Consumer Perceptions.

On the asymptotic power of the two-sided Kolmogorov-Smirnov test

Abstract The asymptotic power of the two-sided one-sample Kolmogorov-Smirnov test (KS) is investigated and compared with the power of some other goodness of fit tests (EDF tests). It is found that this test (similar to the ones of Anderson-Darling and Cramer-von Mises) does not behave like a well- balanced procedure for higher-dimensional alternatives: There are only few directions of deviations from the hypothesis for which it is of reasonable asymptotic power. These directions are determined as follows: Employing spectral theory of compact operators a principal components decomposition of the curvature of the asymptotic power function at the hypothesis is established. This decomposition is given in terms of an orthogonal series in the ‘tangent space’ of directions of alternatives. It shows how the respective test distributes its power in the space of all alternatives. The beginning of the series is evaluated numerically for the KS test. Comparison with the curvature of the optimal power function for a given one-dimensional alternative yields local efficiencies of KS which are high for one direction only, and then rapidly decrease to zero. These findings are supported by global upper bounds of the asymptotic power function of EDF tests, which indicate that for directions with small curvature at the origin the whole power function must have bad efficiency properties.

Perceptions-Based Analysis of Tourism Products and Service Providers

Perceptions-based analysis is a general framework for analyzing tourist choice alternatives involving large sets of perceived attributes. Its development in tourism research was encouraged as tourism is characterized by multifaceted choice alternatives such as destinations and other experiential “products” that the tourists cannot succinctly evaluate with a small number of attributes. PBA differentiates between the generic perceptions of a class of choice alternatives (destinations, product/service providers; e.g., “metropolitan city”; “tour operator”), the perceptual profiles of a specific choice alternative (“San Francisco”; “Thomas Cook”), and the profiles of the choice alternatives preferred or actually selected. It condenses the attribute profiles into distinguished perceptual positions and analyzes their competitive relationships by diagnosing the perceptual strengths and weaknesses of the choice alternatives. Further analysis reveals the number of choice decisions made in favor of a uniquely positioned choice alternative or one sharing its position with others. An empirical example for tour operators illustrates the various data processing steps and discusses their policy implications.

Martingale difference arrays and stochastic integrals

SummaryConsider MDAs (Xni) and (Yni), and stopping times τn(t), 0≦t≦1. Denote

Reduction of Complexity

S_n (t) = a_0 + \sum\limits_{i = 1}^{\tau _n (t)} {X_{ni,} {\text{ }}T_n (t) = b_0 + \sum\limits_{i = 1}^{\tau _n (t)} {Y_{ni,} } }

On Bayes estimates

and let ϕ: ℝ→ℝ be a function. If the common distribution converges and if St, Tt denote the corresponding limiting processes then we give conditions such that the martingale transforms