A Computer Vision Framework For Finger-Tapping Evaluation In Parkinson's Disease

Objective: To define and evaluate a Computer-Vision (CV) method for scoring Paced Finger-Tapping (PFT) in Parkinson's disease (PD) using quantitative motion analysis of index-fingers and to compare the obtained scores to the UPDRS (Unified Parkinson's Disease Rating Scale) finger-taps (FT). Background: The naked-eye evaluation of PFT in clinical practice results in coarse resolution to determine PD status. Besides, sensor mechanisms for PFT evaluation may cause patients discomfort. In order to avoid cost and effort of applying wearable sensors, a CV system for non-invasive PFT evaluation is introduced. Methods: A database of 221 PFT videos from 6 PD patients was processed. The subjects were instructed to position their hands above their shoulders besides the face and tap the index-finger against the thumb consistently with speed. They were facing towards a pivoted camera during recording. The videos were rated by two clinicians between symptom levels 0-to-3 using UPDRS-FT. The CV method incorporates a motion analyzer and a face detector. The method detects the face of testee in each video-frame. The frame is split into two images from face-rectangle center. Two regions of interest are located in each image to detect index-finger motion of left and right hands respectively. The tracking of opening and closing phases of dominant hand index-finger produces a tapping time-series. This time-series is normalized by the face height. The normalization calibrates the amplitude in tapping signal which is affected by the varying distance between camera and subject (farther the camera, lesser the amplitude). A total of 15 features were classified using K-nearest neighbor (KNN) classifier to characterize the symptoms levels in UPDRS-FT. The target ratings provided by the raters were averaged. Results: A 10-fold cross validation in KNN classified 221 videos between 3 symptom levels with 75% accuracy. An area under the receiver operating characteristic curves of 82.6% supports feasibility of the obtained features to replicate clinical assessments. Conclusions: The system is able to track index-finger motion to estimate tapping symptoms in PD. It has certain advantages compared to other technologies (e.g. magnetic sensors, accelerometers etc.) for PFT evaluation to improve and automate the ratings

Testing for Seasonal Unit Roots when Residuals Contain Serial Correlations under HEGY Test Framework

This paper introduces a corrected test statistic for testing seasonal unit roots when residuals contain serial correlations, based on the HEGY test proposed by Hylleberg,Engle, Granger and Yoo (1990). The serial correlations in the residuals of test regressionare accommodated by making corrections to the commonly used HEGY t statistics. Theasymptotic distributions of the corrected t statistics are free from nuisance parameters.The size and power properties of the corrected statistics for quarterly and montly data are investigated. Based on our simulations, the corrected statistics for monthly data havemore power compared with the commonly used HEGY test statistics, but they also have size distortions when there are strong negative seasonal correlations in the residuals.

The hand of God is over their hands (Q. 48:10) : on the notion of covenant in al-Ṭabarī’s account of Karbalāʾ

This article is an analysis of the story of the killing of Ḥusayn b. ʿAlī at Karbalāʾ in 61/680, as it is presented by Abū Jaʿfar Muḥammad b. Jarīr al-Ṭabarī (d. 310/923). The main argument is that the notion of the divine covenant, which permeates the Qur’an, constitutes a framework through which al-Ṭabarī views this event. The Qur’anic idea of the covenant is read in structural/thematic continuity with the Hebrew Bible account of the covenant between Yahweh and the Hebrew people, which has, in turn, been traced back in its basic form to Late Bronze Era treaties between rulers and their vassals.   The present study focusses on four speeches ascribed to Ḥusayn during the encounter he and his group had with the vanguard of the Kūfan army led by al-Ḥurr. These are analysed in accordance with their use of Qur’anic covenant vocabulary. They are also categorised within the broader framework of the eight standard characteristics of Ancient West Asian and Biblical covenants, as presented by George Mendenhall and Gary Herion, which have recently been developed in a Qur’anic context by Rosalind Ward Gwynne. This article argues that al-Ṭabarī’s Karbalāʾ narrative presents the pact of loyalty to Ḥusayn as a clear extension of the divine covenant.