The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is in terms its mathematical properties. In this paper, we provide a comprehensive treatment properties distribution. We derive shape probability density function and expressions for cumulative function, hazard rate reversed moment generating characteristic moments, conditional entropies,...

We developed a three-dimensional, biomechanical computer model of the 36 major pelvic limb muscle groups in an ostrich (Struthio camelus) to investigate muscle function in this, the largest of extant birds and model organism for many studies of locomotor mechanics, body size, anatomy and evolution. Combined with experimental data, we use this model to test two main hypotheses. We first query wh...

bentea and tu{a}rnu{a}uceanu~(an. c{s}tiinc{t}. univ. al. i.cuza iac{s}, ser. nouv{a}, mat., {bf 54(1)} (2008), 209-220)proposed the following problem: find an explicit formula for thenumber of fuzzy subgroups of a finite hamiltonian group of type$q_8times mathbb{z}_n$ where $q_8$ is the quaternion group oforder $8$ and $n$ is an arbitrary odd integer. in this paper weconsider more general grou...

We show that the multivariate generating function of appropriately normalized moments of a measure with homogeneous polynomial density supported on a compact polytope P ⊂ R is a rational function. Its denominator is the product of linear forms dual to the vertices of P raised to the power equal to the degree of the density function. Using this, we solve the inverse moment problem for the set of...

The performance of an energy detector over κ− μ shadowed fading is evaluated using the moment generating function of the received instantaneous signal to noise ratio. The study is then extended to be included various diversity reception schemes over independent and identically (i.i.d) κ− μ shadowed fading channels. To this end, both the average detection probability and the average area under t...

We present a closed form upper bound for the average pairwise error probabilities (PEP) of space-time codes for a keyhole channel. It is derived from the exact conditional PEP for given fading channel coefficients, using a moment generating function-based approach. We include simulation results for varying numbers of antennas which affirm that the proposed PEP serves as a tight bound for codes ...

The problem of computing the moment generating function of the first passage time T to a > 0 or −b < 0 for a one-dimensional Wiener process {X(t), t ≥ 0} is generalized by assuming that the infinitesimal parameters of the process may depend on the sign of X(t). The probability that the process is absorbed at a is also computed explicitly, as is the expected value of T .

We investigate the properties of multifractal products of the exponential of Ornstein-Uhlenbeck processes driven by Lévy motion. The conditions on the mean, variance and covariance functions of these processes are interpreted in terms of the moment generating functions. We provide an illustrative example of Euler’s gamma distribution. We establish the corresponding log-Euler multifractal scenar...

This paper is concerned with the use of grid search as a means of optimizing an objective function that can be evaluated only through simulation. We study the question of how rapidly the number of replications per grid point must grow relative to the number of grid points, in order to reduce the \noise" in the function evaluations and guarantee consistency. This question is studied in the conte...

1 θ + respectively. Shanker [3] has discussed its various mathematical and statistical properties including its shape, moment generating function, moments, skewness, kurtosis, hazard rate function, mean residual life function, stochastic orderings, mean deviations, distribution of order statistics, Bonferroni and Lorenz curves, Renyi entropy measure, stressstrength reliability , amongst others ...