COUNTERPARTY CREDIT RISK FOR AMERICAN OPTIONS IN A REDUCED-FORM MODEL

This thesis follows the idea of Klein and Yang (2013) to study the effect of counterparty credit risk and valuation of Vulnerable American options. Most existing literatures use the structural model (Merton 1974) to study the vulnerable options. However, structural model uses the unrealistic assumptions for the corporate asset. In addition, calibration stochastic asset processes using public information in the structural model is some more difficult than anticipated (Wang 2009). This thesis uses the reduced-form (intensity) model to study the credit risk of vulnerable American put options and compare the results with Klein and Yang (2013). We conclude that counterparty credit risk will affect the vulnerable option value as Klein and Yang did in their paper. Throughout, we rely on binominal tree method to derive our numerical results

On the Uniqueness of Balanced Complex Orthogonal Design

Complex orthogonal designs (CODs) play a crucial role in the construction of space-time block codes. Their real analog, real orthogonal designs (or equivalently, sum of squares composition formula) have a long history. Adams et al. (2011) introduced the concept of balanced complex orthogonal designs (BCODs) to address practical considerations. BCODs have a constant code rate of $1/2$ and a minimum decoding delay of $2^m$, where $2m$ is the number of columns. Understanding the structure of BCODs helps design space-time block codes, and it is also fascinating in its own right. We prove, when the number of columns is fixed, all (indecomposable) balanced complex orthogonal designs (BCODs) have the same parameters $[2^m, 2m, 2^{m-1}]$, and moreover, they are all equivalent

Progress in the Application of Gait Analysis in Orthopedics and Physical Rehabilitation

Human walking function is the biggest characteristic that distinguishes other animals, and it needs the coordination of multiple parts of the body to complete the movement.Gait analysis is a new method to study walking function and state, and it is also a hot topic of medical researchers and medical workers in orthopedics, physical rehabilitation and other fields in recent years.After hundreds of years of development, the medical field has realized the accurate and objective measurement of gait, and developed a variety of gait analysis systems suitable for different needs, such as plantar pressure measurement system, unmarked gait analysis system, wearable sensor system, etc.In the context of the continuous progress of related hardware and software technology, the scope of application of gait analysis is also gradually expanding. This paper mainly combined with the research situation of gait analysis in orthopedics and physical rehabilitation in recent years, to review the new progress of related research

Mini Review: Linkages between Essential Tremor and Parkinson\u27s Disease?

Essential tremor (ET) and Parkinson’s disease (PD) are two of the most common movement disorders. Tremors are the primary symptoms of ET and of some PD patients, the two are often mistaken for each other. Especially since there are no available differentiate tests for the tremor of ET or PD, the early diagnoses mainly based on clinical assessments of medical symptoms, family and medication history, and examination by physicians. There is increasing evidence suggesting an association between ET and PD, such as a similar tremor frequency, overlapping resting tremors (a typical PD tremor), postural tremors (mainly in ET patients) in both ET and PD patients, and many ET patients develop PD later in life. Although it is difficult to make a differential diagnosis of ET and tremor-dominant PD based on clinical assessment, recent developments of objective measurements, such as brain imaging, neuropathology, and genetic analysis, has opened a helpful window for distinguishing ET from PD. In this mini review, we included literatures of ET and PD studies and discussed various advanced methods for differential diagnosis between ET and PD such as neuroimaging, genetic markers, tremor intensity and frequency, and drug-responses

3D-SeqMOS: A Novel Sequential 3D Moving Object Segmentation in Autonomous Driving

For the SLAM system in robotics and autonomous driving, the accuracy of front-end odometry and back-end loop-closure detection determine the whole intelligent system performance. But the LiDAR-SLAM could be disturbed by current scene moving objects, resulting in drift errors and even loop-closure failure. Thus, the ability to detect and segment moving objects is essential for high-precision positioning and building a consistent map. In this paper, we address the problem of moving object segmentation from 3D LiDAR scans to improve the odometry and loop-closure accuracy of SLAM. We propose a novel 3D Sequential Moving-Object-Segmentation (3D-SeqMOS) method that can accurately segment the scene into moving and static objects, such as moving and static cars. Different from the existing projected-image method, we process the raw 3D point cloud and build a 3D convolution neural network for MOS task. In addition, to make full use of the spatio-temporal information of point cloud, we propose a point cloud residual mechanism using the spatial features of current scan and the temporal features of previous residual scans. Besides, we build a complete SLAM framework to verify the effectiveness and accuracy of 3D-SeqMOS. Experiments on SemanticKITTI dataset show that our proposed 3D-SeqMOS method can effectively detect moving objects and improve the accuracy of LiDAR odometry and loop-closure detection. The test results show our 3D-SeqMOS outperforms the state-of-the-art method by 12.4%. We extend the proposed method to the SemanticKITTI: Moving Object Segmentation competition and achieve the 2nd in the leaderboard, showing its effectiveness

Comprehensive molecular etiology analysis of nonsyndromic hearing impairment from typical areas in China

<p>Abstract</p> <p>Background</p> <p>Every year, 30,000 babies are born with congenital hearing impairment in China. The molecular etiology of hearing impairment in the Chinese population has not been investigated thoroughly. To provide appropriate genetic testing and counseling to families, we performed a comprehensive investigation of the molecular etiology of nonsyndromic deafness in two typical areas from northern and southern China.</p> <p>Methods</p> <p>A total of 284 unrelated school children with hearing loss who attended special education schools in China were enrolled in this study, 134 from Chifeng City in Inner Mongolia and the remaining 150 from Nangtong City in JiangSu Province. Screening was performed for <it>GJB2</it>, <it>GJB3</it>, <it>GJB6</it>, <it>SLC26A4</it>, <it>12S rRNA</it>, <it>and tRNA</it>^{<it>ser</it>(<it>UCN</it>)}genes in this population. All patients with <it>SLC26A4 </it>mutations or variants were subjected to high-resolution temporal bone CT scan to verify the enlarged vestibular aqueduct.</p> <p>Results</p> <p>Mutations in the <it>GJB2 </it>gene accounted for 18.31% of the patients with nonsyndromic hearing loss, 1555A>G mutation in mitochondrial DNA accounted for 1.76%, and <it>SLC26A4 </it>mutations accounted for 13.73%. Almost 50% of the patients with nonsyndromic hearing loss in these typical Chinese areas carried <it>GJB2 </it>or <it>SLC26A4 </it>mutations. No significant differences in mutation spectrum or prevalence of <it>GJB2 </it>and <it>SLC26A4 </it>were found between the two areas.</p> <p>Conclusion</p> <p>In this Chinese population, 54.93% of cases with hearing loss were related to genetic factors. The <it>GJB2 </it>gene accounted for the etiology in about 18.31% of the patients with hearing loss, <it>SLC26A4 </it>accounted for about 13.73%, and <it>mtDNA </it>1555A>G mutation accounted for 1.76%. Mutations in <it>GJB3, GJB6</it>, and <it>mtDNA tRNA</it>^{<it>ser</it>(<it>UCN</it>)}were not common in this Chinese cohort. Conventionally, screening is performed for <it>GJB2</it>, <it>SLC26A4</it>, and mitochondrial <it>12S rRNA </it>in the Chinese deaf population.</p