Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Central notations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform. In this way very elaborated aspects of mathematical statistics can be understood easily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating, combination of likelihood and robust M-estimation functions are simple additions/ perturbations in A2(Pprior). Weighting observations corresponds to a weighted addition of the corresponding evidence. Likelihood based statistics for general exponential families turns out to have a particularly easy interpretation in terms of A2(P). Regular exponential families form finite dimensional linear subspaces of A2(P) and they correspond to finite dimensional subspaces formed by their posterior in the dual information space A2(Pprior). The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P. The discussion of A2(P) valued random variables, such as estimation functions or likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

Evaluating the probability and the impact of a failure in GMPLS based networks

In this paper, we define a new scheme to develop and evaluate protection strategies for building reliable GMPLS networks. This is based on what we have called the network protection degree (NPD). The NPD consists of an a priori evaluation, the failure sensibility degree (FSD), which provides the failure probability, and an a posteriori evaluation, the failure impact degree (FID), which determines the impact on the network in case of failure, in terms of packet loss and recovery time. Having mathematical formulated these components, experimental results demonstrate the benefits of the utilization of the NPD, when used to enhance some current QoS routing algorithms in order to offer a certain degree of protection

Estimation of the probability of congestion using Monte Carlo method in OPS networks

In networks with small buffers, such as optical packet switching based networks, the convolution approach is presented as one of the most accurate method used for the connection admission control. Admission control and resource management have been addressed in other works oriented to bursty traffic and ATM. This paper focuses on heterogeneous traffic in OPS based networks. Using heterogeneous traffic and bufferless networks the enhanced convolution approach is a good solution. However, both methods (CA and ECA) present a high computational cost for high number of connections. Two new mechanisms (UMCA and ISCA) based on Monte Carlo method are proposed to overcome this drawback. Simulation results show that our proposals achieve lower computational cost compared to enhanced convolution approach with an small stochastic error in the probability estimation

On the incremental validity of irrational beliefs to predict subjective well-being while controlling for personality factors

Resumen tomado de la publicaci??n

Objective quality of life, optimism, and social-juridical variables, as predictive ones of the subjective quality of life in disarmed Colombian persons

The goal of this research was to identify predic- tive psychosocial factors of the subjective quality of life in a group of 60 people, with ages between 19 and 57, from both sexes, included in the program of demobilization and social inclusion of the Pro- grama de la Alta Consejería para la Reintegración Social y Económica de Personas y Grupos Alzados en Armas en Colombia. this research was a predic- tive correlational descriptive study. the Question- naire of optimism/Pessimism was used to assess the optimist or pessimist trend, and, for assess the quality of life, these strategies were combined: a home visit to value the objective quality of life, the Analogous scale of subjective Quality of Life to value satisfaction and well-being, and a general format to collect socio-demographic and juridical information. Results show that some variables as perceived health, optimism, educational level, re- ligious believes, objective quality of life, type of demobilization and years spent in the armed group operating outside the law, are associated to better levels of perceived quality of life. The findings and limitations of the study are discussed.  

Involvement in environmental causes, does the joint effect between subjective income and the performance of the country matter?

Previous research has shown that richer people are more likely to engage in an environmentalcause. We extend it by considering the joint effect between subjective income and a set of macroeconomicvariables. For doing so, we employ the fifth wave of the World Values Survey (WVS).This study provides clear evidence that even when both factors matter, people´s attitudes cruciallydepend on the interaction effect. Hence, those measures that affect the characteristics of thecountry would also change the disposition to be involved.

Does uncertainty cause inertia in decision making? An experimental study of the role of regret aversion and indecisiveness

Previous research has shown that often there is clear inertia in individual decision making---that is, a tendency for decision makers to choose a status quo option. I conduct a laboratory experiment to investigate two potential determinants of inertia in uncertain environments: (i) regret aversion and (ii) ambiguity-driven indecisiveness. I use a between-subjects design with varying conditions to identify the effects of these two mechanisms on choice behavior. In each condition, participants choose between two simple real gambles, one of which is the status quo option. I find that inertia is quite large and that both mechanisms are equally important.

The rasch approach to 'objective measurement' in the presence of subjective evaluation from judges. 'Aproximación al modelo de 'medición objetiva' de rasch en presentación de la evaluación subjetiva por jueces'.

Resumen tomado de la publicación. Monográfico titulado: economía de la educación

Multiple perspectives on the concept of conditional probability. 'Perspectivas múltiples sobre el concepto del probabilidad condicional'

Resumen en portugués, español y francés. Resumen basado en el de la publicación

Congestion probability routing in virtual path ATM network

This dissertation focuses on the problem of providing mechanisms for routing point to point and multipoint connections in ATM networks. In general the notion of multipoint connection refers to connections that involve a group of users with more than two members. The main objective of this dissertation is to contribute to design efficient routing protocols with alterative routes in fully connected VP-based ATM Networks for call establishment of point to point and multipoint VC connections. An efficient route should be computed during this connection establishment phase.

A comparison of physical measurements of pure-tones, third-octave bands of noise and third-octave bands of speech to subjective judgments of audibility threshold, MCL and UCL for three normally hearing listeners

This study investigates the relation between physical measurements of pure-tones, third-octave bands of noise and third-octave bands of speech and subjective judgments of auditory threshold, most-comfortable listening level (MCL) and uncomfortable-listening level (UCL) for three normally hearing listeners.

Comparison of Computerized Dynamic Posturography (CDP) results with subjective visual vertical (SVV) test in patients with and without vestibular dysfunction: effects of horizontal headshaking

The goal of the study was to identify what effect headshaking in the horizontal plane has on Computerized Dynamic Posturography results in normals and patients with unilateral vestibular dysfunction. Additionally, the results were compared to results of the dynamic subjective visual vertical test.

Subjective impressions of child cochlear-implant users: effects of conversational fluency, intelligibility, speech perception, and communication mode

This paper investigates the conversational fluency of young cochlear implant users. The study compares objective measures and subjective impressions of conversation fluency, relates how children’s communication skills influence both objective and subjective measures of conversational fluency, and compares the performance of children who use an oral mode with those who use a total communication mode in everyday conversation.

Subjective preference for a high power hearing aid utilizing a directional microphone

This paper discusses the use of a directional microphone by hearing aid users.

Subjective versus objective measures of daily listening environments

This study examined hearing impaired listeners’ subjective perceptions of listening environments through a listening questionnaire and compared these results to objective measures mimicked by the questionnaire in the datalogging device SAM (Sound Activity Meter). Results indicate audiologists should not rely on patient reports of “typical” listening environments for hearing aid selection as significant discrepancies were present between several of the subjective and objective measures.