• In many applications of lifetime data analysis, it is important to perform inferences about the change-point of the hazard function. The change-point could be a maximum for unimodal hazard functions or a minimum for bathtub forms of hazard functions and is usually of great interest in medical or industrial applications. For lifetime distributions where this change-point of the hazard function...

In this paper the log-exponentiated-Weibull regression model is modified to allow the possibility that long term survivors are present in the data. The modification leads to a log-exponentiated-Weibull regression model with cure rate, encompassing as special cases the log-exponencial regression and log-Weibull regression models with cure rate typically used to model such data. The models attemp...

I present a new online learning algorithm that extends the exponentiated gradient framework to infinite dimensional spaces. My analysis shows that the algorithm is implicitly able to estimate the L2 norm of the unknown competitor, U , achieving a regret bound of the order of O(U log(U T + 1)) √ T ), instead of the standard O((U + 1) √ T ), achievable without knowing U . For this analysis, I int...

We apply our Yennie-Frautschi-Suura exponentiated cross section formulas for the parton processes q + (¯ q)′ → q ′′ + (¯ q)′′′ + n(G) to the process q + ¯ q → t + ¯ t + n(G) at FNAL energies, where G is a QCD gluon. We use semi-analytical methods to compute the ratio r exp = σ exp /σ B , where σ exp is our soft gluon YFS exponentiated cross section and σ B is the Born cross section. For m t = 0...

The Pareto distribution is often used in many areas of economics to model the right tail of heavytailed distributions. However, the standard method of estimating the shape parameter (the Pareto index) of this distribution– the maximum likelihood estimator (MLE) – is non-robust, in the sense that it is very sensitive to extreme observations, data contamination or model deviation. In recent years...

The focus of this paper is to develop a technique of solving a combined problem of determining Optimum Strata Boundaries (OSB) and Optimum Sample Size (OSS) of each stratum, when the population under study is skewed and the study variable has a Pareto frequency distribution. The problem of determining the OSB is formulated as a Mathematical Programming Problem (MPP) which is then solved by dyna...

108 Reliability estimation in Pareto-I distribution based on progressively type II censored sample with binomial removals Ilhan USTA 1, *, Hanefi Gezer 2 1Doctor of Philosophy, Associate Professor, Department of Statistics, Faculty of Science, Anadolu University, Eskisehir, Turkey 2Master of Statistics, Faculty of Science, Anadolu University, Eskisehir, Turkey Abstract: In this study, we deal w...

In Next Linear Colliders at TeV scale, electroweak double logarithmic corrections, which come from the infrared behaviors of theory can not be neglected. It is well known that in QED and QCD, double logarithmic corrections are resummed to all orders, and these corrections can be exponentiated, resulting in the Sudakov form factor. However it is never trivial that double logarithmic corrections ...

This research investigates the potential usefulness of the transmuted exponentiated modified Weibull (TEMW) distribution for modelling bladder cancer data. This distribution, formed using the quadratic rank transmutation map technique, contains twenty three lifetime distributions as special cases. We obtain the analytic shapes of the density and hazard functions. Some structural properties of t...