Comparative lifetime tests are extremely significant when the experimenters study reliability of comparative advantages two products in competition. Considering joint type-II censoring, we deal with inference product lines conform to Gumbel distributions. The maximum likelihood estimations population parameters were obtained current research. An approximate confidence interval and a simultaneou...

INTERVAL ESTIMATION OF EXCESS RISK RELATED EFFECTIVE DOSES IN TOBIT MODELS by Jia Wang ADVISOR: Professor Nan Lin December 2009 Saint Louis, Missouri In this thesis we consider interval estimation of excess risk related effective dose (ERED) in dose-response studies using tobit model. Let P (x) be the probability of response at dose level x. Considering the background probability P (0), excess ...

A Monte Carlo method for computing the bias and standard deviation of estimates of the parameters of a psychometric function such as the WeibulllQuick is described. The method, based on Efron's parametric bootstrap, can also be used to estimate confidence intervals for these parameters. The method's ability to predict bias, standard deviation, and confidence intervals is evaluated in two ways. ...

Using a class of claim distributions, we introduce the Weibull distribution, which is new extension distribution with three parameters. The maximum likelihood estimation method used to estimate unknown parameters, and asymptotic confidence intervals bootstrap are constructed. In addition, obtained Bayesian estimates parameters under squared error linear exponential function (LINEX) general entr...

This paper investigates the relation between hypothesis testing and the construction of confidence intervals, with particular regard to bootstrap tests. In practice, confidence intervals are almost always based on Wald tests, and consequently are not invariant under nonlinear reparametrisations. Bootstrap percentile-t confidence intervals are an instance of this. However, the (asymptotically) p...

A jointly censored sample is a very useful sampling technique in conducting comparative life tests of the products, its efficiency appears permitting selection two samples from manufacturing lines at same time and life-testing experiment. This article presents estimation information joint generalized Pareto distributions parameters using Type-II progressive censoring scheme, which carried out w...

Much research has been done on the asymptotic distributions of likelihood ratio statistics for complete data. In this paper we consider the situation in which the data are censored and the distribution of the likelihood ratio statistic is a mixture of continuous and discrete distributions. We show that the distribution of signed square root likelihood ratio statistic can be approximated by its ...

The objective of this study is to improve the estimation of the dispersion parameter of the negative binomial distribution for modeling motor vehicle collisions. The negative binomial distribution is widely used to model count data such as traffic crash data, which often exhibit low sample mean values and small sample sizes. Under such situations, the most commonly used methods for estimating t...

Abstract This report reviews three possible approaches to the assignment of confidence intervals to feed-forward neural networks, namely, bootstrap estimation, maximum likelihood estimation, and Bayesian statistics. The report concludes with a proposal for mixture modelling via Markov Chain Monte Carlo sampling to enable non-Gaussian variances to be modelled without introducing the bias caused ...