Method of moments for estimating uncertainty distributions

The Method of Moments and Degree Distributions for Network Models

Probability models on graphs are becoming increasingly important in many applications, but statistical tools for fitting such models are not yet well developed. Here we propose a general method of moments approach that can be used to fit a large class of probability models through empirical counts of certain patterns in a graph. We establish some general asymptotic properties of empirical graph...

A method for estimating the power of moments

Let X be an observable random variable with unknown distribution function [Formula: see text], [Formula: see text], and let [Formula: see text] We call θ the power of moments of the random variable X. Let [Formula: see text] be a random sample of size n drawn from [Formula: see text]. In this paper we propose the following simple point estimator of θ and investigate its asymptotic properties: [...

Estimating the closed skew-normal distributions parameters using weighted moments

Skewness is often present in a wide range of applied problems. One possible approach to model this skewness is based on the class of skew normal distributions. Fitting such distributions remains an inference challenge in various cases. In this paper, we propose and study novel estimators using weighted moments for the closed multivariate skew-normal distribution.

A novel method for estimating distributions of body mass index.

BACKGROUND Understanding trends in the distribution of body mass index (BMI) is a critical aspect of monitoring the global overweight and obesity epidemic. Conventional population health metrics often only focus on estimating and reporting the mean BMI and the prevalence of overweight and obesity, which do not fully characterize the distribution of BMI. In this study, we propose a novel method ...

Uncertainty Analysis of Software Reliability Based on Method of Moments