OF THE THESIS INFERENCE ABOUT RELIABILITY PARAMETER WITH UNDERLYING GAMMA AND EXPONENTIAL DISTRIBUTION by Zeyi Wang Florida International University, 2011 Miami, Florida Professor Jie Mi, Major Professor The statistical inference about the reliability parameter R involving independent gamma stress and exponential strength is considered. Assuming the shape parameter of gamma is a known arbitrary...

We consider the existence of pairs of probability ensembles which may be efficiently distinguished from each other given k samples but cannot be efficiently distinguished given k0 < k samples. It is well known that in any such pair of ensembles it cannot be that both are efficiently computable (and that such phenomena cannot exist for nonuniform classes of distinguishers, say, polynomial-size c...

We study the distribution of volume fluctuations in experiments and numerical simulations concerning equal-sized sphere packings prepared with different techniques. We show that the distribution of the local volumes (Voronoï cells) and also the distributions of the global volumes (whole samples) follow remarkably well a shifted and rescaled Gamma distribution that we name a k-Gamma distribution...

In this paper, we analyze the time (viz., the number of cycles) to reach any given crack size in a fatigue life test using a gamma stochastic process. It is assumed that the time increments are nonstationary but independent for each specimen while the shape parameter of the gamma distribution is a function of the crack length. In addition, using a random effect model, the between-specimen varia...

UNLABELLED In this paper, we propose a five-parameter lifetime model called the McDonald exponentiated gamma distribution to extend beta exponentiated gamma, Kumaraswamy exponentiated gamma and exponentiated gamma, among several other models. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment. We discuss estimation...

In this paper, the wireless system consisting of macrodiversity selection combining (SC) receiver and two microdiversity SC receivers under the influence of small scale fading and large scale fading, as well as co-channel interference is observed. Small scale fading has Weibull distribution. Correlated large scale fading is described by Gamma distribution. Co-channel interference is disturbed b...

The five parameter gamma–Weibull distribution has been introduced by Leipnik and Pearce (2004). Nadarajah and Kotz (2007) have simplified it into four parameter form, using hypergeometric functions in some special cases. We show that the probability distribution function, all moments of positive order and the characteristic function of gamma–Weibull distribution of a random variable can be expl...

In Bayesian analysis, empirical and hierarchical methods are two main approaches for the estimation of parameter(s) involved in prior distribution one parameter. But multi-parameter model, e.g., Gamma(α, p), where both parameters unknown, idea ‘Partial Bayes (PB) Estimation’ is introduced. When we do no have proper belief regarding joint variable when estimating parameter presence others, such ...

Distribution functions are introduced based on power transformations of beta and gamma distributions, and properties of these distributions are discussed. The gamma, beta, F, Pareto, Burr, Weibull and loglogistic distributions ares special cases. The transformed gamma mixed with a gamma yields a transformed beta. The transformed gamma is used to model aggregate distributions by matching moments...