3 research outputs found
Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means
Bayesian classification labels observations based on given prior information,
namely class-a priori and class-conditional probabilities. Bayes' risk is the
minimum expected classification cost that is achieved by the Bayes' test, the
optimal decision rule. When no cost incurs for correct classification and unit
cost is charged for misclassification, Bayes' test reduces to the maximum a
posteriori decision rule, and Bayes risk simplifies to Bayes' error, the
probability of error. Since calculating this probability of error is often
intractable, several techniques have been devised to bound it with closed-form
formula, introducing thereby measures of similarity and divergence between
distributions like the Bhattacharyya coefficient and its associated
Bhattacharyya distance. The Bhattacharyya upper bound can further be tightened
using the Chernoff information that relies on the notion of best error
exponent. In this paper, we first express Bayes' risk using the total variation
distance on scaled distributions. We then elucidate and extend the
Bhattacharyya and the Chernoff upper bound mechanisms using generalized
weighted means. We provide as a byproduct novel notions of statistical
divergences and affinity coefficients. We illustrate our technique by deriving
new upper bounds for the univariate Cauchy and the multivariate
-distributions, and show experimentally that those bounds are not too
distant to the computationally intractable Bayes' error.Comment: 22 pages, include R code. To appear in Pattern Recognition Letter
Factors Influencing Customer Satisfaction towards E-shopping in Malaysia
Online shopping or e-shopping has changed the world of business and quite a few people have
decided to work with these features. What their primary concerns precisely and the responses from
the globalisation are the competency of incorporation while doing their businesses. E-shopping has
also increased substantially in Malaysia in recent years. The rapid increase in the e-commerce
industry in Malaysia has created the demand to emphasize on how to increase customer satisfaction
while operating in the e-retailing environment. It is very important that customers are satisfied with
the website, or else, they would not return. Therefore, a crucial fact to look into is that companies
must ensure that their customers are satisfied with their purchases that are really essential from the ecommerce’s
point of view. With is in mind, this study aimed at investigating customer satisfaction
towards e-shopping in Malaysia. A total of 400 questionnaires were distributed among students
randomly selected from various public and private universities located within Klang valley area.
Total 369 questionnaires were returned, out of which 341 questionnaires were found usable for
further analysis. Finally, SEM was employed to test the hypotheses. This study found that customer
satisfaction towards e-shopping in Malaysia is to a great extent influenced by ease of use, trust,
design of the website, online security and e-service quality. Finally, recommendations and future
study direction is provided.
Keywords: E-shopping, Customer satisfaction, Trust, Online security, E-service quality, Malaysia