Tendon transfers to the extensor carpi radialis brevis (ECRB) are often performed to augment wrist extension. This study was conducted to analyze how transfer of the extensor carpi ulnaris (ECU) to the ECRB affects the moment arms, force-generating capacity, and moment-generating capacity of the ECU over a range of wrist flexion-extension. A graphics-based computer model was developed from anat...

We obtain the optimal proxy variance for the sub-Gaussianity of Beta distributions, thus proving, and improving, a recent conjecture made by Elder (2016). We provide different proof techniques for the symmetrical (around its mean) case and the non-symmetrical case. The technique in the latter case relies on studying the ordinary differential equation satisfied by the Beta moment-generating func...

In this talk, the class of multivariate extended skew normal distributions is introduced. The properties of this class of distributions, such as, the moment generating function, probability density function, conditional probability density functions and independence are discussed. The definition of extended noncentral skew chi-square distribution is given. The necessary and sufficient condition...

In this paper, we study the Heston stochastic volatility model in the regime where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor. We derive a large deviation principal and compute the rate function by a precise study of the moment generating function and its asymptotic. We then obtain asymptotic prices for Out-of-The-Money call and put o...

The traditional moment generating functions of random variables and their probability distributions are known to not exist for all and/or at points and, where they exist, serious difficult tedious manipulations needed the evaluation higher central non-central moments. This paper developed generalized multivariate function some vectors/matrices distribution with intention replace traditional/con...

STUDY DESIGN Cadaveric dissections and biomechanical modeling were used to study the human cervical multifidus muscle. OBJECTIVES To describe attachment patterns of the multifidus in the cervical region, to quantify the muscle's architecture, and to use a biomechanical model to calculate the moment-generating capacity of the cervical multifidus. SUMMARY OF BACKGROUND DATA Deep neck muscles ...

The Lindley distribution is one of the important for studying stress--strength reliability modeling. Besides, some researchers have proposed new classes of distributions based on modifications of the quasi Lindley distribution. In this paper, a new generalized version of this distribution which is called the transmuted quasi Lindley (TQL) distribution is introduced. A comprehensive mathematical...