Explicit duration modeling has been shown to increase the eeectiveness of hidden Markov models in automatic speech recognition. Ferguson found the optimum parameters of the duration model for the case where duration is assumed to be distributed according to a non-parametric probability mass function. Levinson determined the best gamma density to model duration. In this paper, duration is assume...

A variety of inferential tasks require drawing samples from a probability distribution on a manifold. This occurs in sampling from the posterior distribution on constrained parameter spaces (eg covariance matrices), in testing goodness of fit for exponential families conditional on sufficient statistics (eg the sum and product of the observations in a Gamma family), and in generating data to te...

Abstract In this paper we explore special values of Gaussian hypergeometric functions in terms products Euler $$\Gamma $$ Γ -functions and exponential linear the parameters. They include some classical evaluations, but main inspiration is from contiguity method recently applied by Akihito Ebisu.

Background: Ultrasound propagation velocity was measured experimentally in normal, fibroadenoma and ductal carcinoma breast tissues, in order to distinguish normal breast tissue from tumors. Materials and methods: In quantitative measurements of ultrasound velocity, 403 breast tissue images were selected, comprising 130 normal breast tissue, 130 fibroadenoma, and 143 ductal carcinoma tumors. Th...

in this study, the incomplete gamma function, an exponential function, a mixed-log function and a polynomial function were evaluated to describe the lactation curve in moroccan holstein-friesian dairy cows. data from 1990 to 1999, comprising 77130 monthly milk yields of 6029 dairy cows in 280 dairy herds, were used. edits were carried out by considering the lactation length (5 d and

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This simplifies the original derivation of the vertex. In particular, the Neumann matrices are written in terms of μ-deformed Gamma-functions, thus casting them into a form that elegantly generalizes the well-kno...

In this article our objective is to evaluate the performance of different measures of associations for hypothesis testing purposes. We have considered different measures of association (including some commonly used) in this study, one of which is parametric and others are non-parametric including three proposed modifications. Performance of these tests are compared under different symmetric, sk...