Abstract: The authors analyze the validity of the uniform model for the marginal probability density function (PDF) of granular quantization error (QE) in a uniform ...

Department of Basic Science, Nippon Veterinary and Life Science University, Tokyo, Japan. According to the uncertainty principle, the motion of the single electron in the 1s orbit of a hydrogen atom ...

ABSTRACT: A multivariate Student’s t-distribution is derived by analogy to the derivation of a multivariate normal (Gaussian) probability density function. This multivariate Student’s t-distribution ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

This is a preview. Log in through your library . Abstract Longitudinal studies of a binary outcome are common in the health, social, and behavioral sciences. In general, a feature of random effects ...