This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .

This paper presents a Bayesian nonnegative matrix factorization (NMF) approach to extract singing voice from background music accompaniment. Using this approach, the likelihood function based on NMF is represented by a Poisson distribution and the NMF parameters, consisting of basis and weight matrices, are characterized by the exponential priors. A variational Bayesian expectationmaximization ...

in order to study the relationship between random boolean sets and some explanatory variables, this paper introduces a propagation model. this model can be applied when corresponding poisson process of the boolean model is related to explanatory variables and the random grains are not affected by these variables. an approximation for the likelihood is used to find pseudo-maximum likelihood esti...

Abstract We construct a Cournot model with uncertainty in the number of firms industry. such an as Poisson game and characterize set equilibria after deriving novel properties distribution. When marginal costs are zero, increases expected ( n ) for $$n\ge 3$$ n ≥ 3 ...

Parametric complexity is a central concept in Minimum Description Length (MDL) model selection. In practice it often turns out to be infinite, even for quite simple models such as the Poisson and Geometric families. In such cases, MDL model selection as based on NML and Bayesian inference based on Jeffreys’ prior can not be used. Several ways to resolve this problem have been proposed. We condu...

In this paper the regression problem for random sets of the Boolean model type is developed, where the corresponding poisson process of the model is related to some explanatory variables and the random grains are not affected by these variables. A model we call propagation model, is presented and some methods for fitting this model are introduced. Propagation model is applied in a simulation st...

background & aim: congenital hypothyroidism (ch) is one of the most common endocrine diseases and is a major cause of preventable mental retardation. early diagnosis of ch can help prevent future diseases. although time series techniques are often utilized to forecast future status, they are inadequate to deal with count data with overdispersion. the aim of this study was to apply poisson hidde...

rice husk ash (rha) is natural pozzolan containing reactive silica and/or aluminum. when the material is mixed with lime in powdered form and in the presence of water, it will set and harden like cement. this work uses osadebe’s optimization model to optimize the shear modulus of concrete made from rha. the strengths predicted by the model are in good agreement with their corresponding experime...