William Feller has a Note on Bayes’ rule in his classic probability book in which he expresses doubts about the Bayesian approach to statistics and decries it as a method of the past. We analyze in this note the motivations for Feller’s attitude, without aiming at a complete historical coverage of the reasons for this dismissal.

Currently, the best performing state-of-art large vocabulary speech recognition systems are statistical pattern classifiers which model sound units using hidden Markov models (HMMs). Given a sequence of data X derived from the speech signal, the classification problem that is solved is that of finding the class c(X) for which the following expression, given by Bayes classification rule, is maxi...

The success of support vector machines in binary classification relies on the fact that hinge loss utilized in the risk minimization targets the Bayes rule. Recent research explores some extensions of this large margin based method to the multicategory case. We obtain a moment inequality for multicategory support vector machine loss minimizers with fast rate of convergence.

Null hypothesis significance testing (NHST) is the most commonly used statistical methodology in psychology. The probability of achieving a value as extreme or more extreme than the statistic obtained from the data is evaluated, and if it is low enough, the null hypothesis is rejected. However, because common experimental practice often clashes with the assumptions underlying NHST, these calcul...

Cross-modal enhancement (CME) occurs when the neural response to a stimulus of one modality is augmented by another stimulus of a different modality. Paired stimuli of the same modality never produce supra-additive enhancement but may produce modality-specific suppression (MSS), in which the response to a stimulus of one modality is diminished by another stimulus of the same modality. Both CME ...

In classification, Bayes' rule is used to calculate the probabilities of the classes. The main aim is related about how we can make rational decisions to minimize expected risk. Bayes' theorem provides a way to calculate the probability of a hypothesis based on its prior probability, the probabilities of observing various data given the hypothesis, and the observed data itself. Probability and ...

A typical rule that has been used for the endorsement of new medications by the Food and Drug Administration is to have two trials, each convincing on its own, demonstrating effectiveness. "Convincing" may be subjectively interpreted, but the use of p-values and the focus on statistical significance (in particular with p < .05 being coined significant) is pervasive in clinical research. Therefo...

Regulation of the Minister Education, Culture, Research, and Technology (Permendikbud Ristek) Number 30 2021 was launched as a form government efforts in context preventing handling sexual violence universities. However, it turns out that this regulation has generated various reactions from community, most them support while others reject ratification regulation. Technological developments occu...

Cross-modal enhancement (CME) occurs when the neural response to a stimulus of one modality is augmented by another stimulus of a different modality. Paired stimuli of the same modality never produce supraadditive enhancement but may produce modality-speciŽc suppression (MSS), in which the response to a stimulus of one modality is diminished by another stimulus of the same modality. Both CME an...

Two approaches to the classification of different locomotor activities performed at various speeds are here presented and evaluated: a maximum a posteriori (MAP) Bayes' classification scheme and a Support Vector Machine (SVM) are applied on a 2D projection of 16 features extracted from accelerometer data. The locomotor activities (level walking, stair climbing, and stair descending) were record...