We study maximum likelihood estimation for the statistical model for both directed and undirected random graph models in which the degree sequences are minimal sufficient statistics. In the undirected case, the model is known as the beta model. We derive necessary and sufficient conditions for the existence of the MLE that are based on the polytope of degree sequences, and wecharacterize in a c...

PURPOSE This paper presents and studies a framework for reliable modeling of diffusion MRI using a data-acquisition adaptive prior. METHODS Automated relevance determination estimates the mean of the posterior distribution of a rank-2 dual tensor model exploiting Jeffreys prior (JARD). This data-acquisition prior is based on the Fisher information matrix and enables the assessment whether two...

We establish global rates of convergence of the Maximum Likelihood Estimator (MLE) of a multivariate distribution function on ℝ d in the case of (one type of) "interval censored" data. The main finding is that the rate of convergence of the MLE in the Hellinger metric is no worse than n-1/3(log n)γ for γ = (5d - 4)/6.

The fractal dimension estimate for two-variable fractional Brownian motion using the maximum likelihood estimate (MLE) is developed. We formulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the fractal dimension by maximizing the likelihood function. We then compare the MLE with the box-dimension estimation met...

This paper focuses on the inference of the correlation parameters from data that have either spatial or temporal short-range dependence. A comparative study of two inference methods is presented: the established method of maximum likelihood estimation (MLE) and the recently proposed modified method of moments (MMoM). For reasons of computational efficiency the comparisons are based on simulatio...

The present study demonstrates the effect of rubriflordilactone on lipopolysaccharide (LPS)-induced acute kidney injury in rats and MLE-15 cells. LPS administration in rats resulted in formation of edema which was inhibited by pretreatment with rubriflordilactone. The pulmonary tissues of LPS administered rats and MLE-15 cells showed a significant increase in the expression of matrix metallopro...

We propose a new stochastic approximation (SA) algorithm for maximum likelihood estimation (MLE) in the incomplete data setting. This algorithm is most useful for problems when the EM algorithm is not possible due to an intractable E-step or M-step. Compared to other algorithms that have been proposed for intractable EM problems such as the MCEM algorithm of Wei and Tanner (1990), our proposed ...

Treatment of murine adult MLE-12 type-II and fetal-rat type-II cells with fetal-rat-fibroblast-conditioned medium (FFCM) resulted in a 2-fold stimulation of [14C]choline incorporation into phosphatidylcholine. Soluble CTP:phosphocholine cytidylyltransferase (CT) activity was increased approx. 3-fold in FFCM-treated fetal-rat type-II cells but was not changed in MLE-12 cells. Neither choline kin...