Global ETD Search
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Showing 1 to 20 of 85 for “"Weibull Distribution"”.
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Inferences on the parameters of the Weibull distribution
… of making inferences about the parameters in the Weibull distribution have been limited to providing simple estimators of the parameters. Little has been known about the properties of the estimators. In this paper the small and moderate sample size properties of the maximum likelihood estimators …
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Weighted Inverse Weibull and Beta-Inverse Weibull Distribution
<p>The weighted inverse Weibull distribution and the beta-inverse Weibull distribution are considered. Theoretical properties of the inverse Weibull model, weighted inverse Weibull distribution including the hazard function, reverse hazard function, moments, moment generating function, coefficient …
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Statistical Properties of Kumaraswamy Generalized Inverse Weibull Distribution
<p>In this thesis, the generalized inverseWeibull distribution including the proportional reverse hazard and Kumasraswamy generalized inverse Weibull distributions are presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coe_cients …
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The Generalized Lindley-Weibull Distribution with Applications to Lifetime Data
<p>A new class of distribution called the generalized Lindley-Weibull distribution for modeling lifetime data is proposed. This model further generalizes the Lindley distribution and allows for hazard rate functions that are monotonically decreasing, monotonically increasing bathtub and upside down …
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Cross product ratio under different sampling schemes and zero truncated negative binomial weighted Weibull distribution with applications
… In this thesis, we propose two new discrete distributions, the negative binomialweighted Weibull and the zero truncated negative binomial-weighted Weibull distributions. Some statistical properties of the proposed distributions are presented. The parameter estimates for the proposed …
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Theoretical Properties and Estimation In Weighted Weibull and Related Distributions
The Weibull distribution is a well known and common distribution. In this thesis, theoretical properties of weighted Weibull distributions are presented. Properties of the non-weighted Weibull distribution are also reiterated for comparison. The probability density functions, cumulative …
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Bayesian Inference of the Weibull-Pareto Distribution
<p>The Weibull distribution has many applications in various topics. Some of these topics include survival analysis, reliability engineering, general insurance, electrical engineering, and industrial engineering. The Weibull distribution was further extended by the Weibull-Pareto distribution. A …
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Sparse signal representation based algorithms with application to ultrasonic array imaging
… numbers and sparse in nature. Therefore, we use Weibull distribution function with two hyperparameters, namely the shape parameter and the scaling parameter, to model the prior distribution function of the reflectivity coefficients of the reflectors. As we show, the Weibull distribution, whose …
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Two New Classes of Generalized Modified Weibull Distributions with Application to Lifetime Data
<p>Weibull distribution and its extended families has been widely studied in lifetime applications. Based on the Weibull-G family of distributions and the exponentiated Weibull distribution, we study in detail two new classes of distributions, namely, Gamma-Weibull-G family of distributions (GWG) …
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Diameter Distributions of Juvenile Stands of Loblolly Pine (Pinus taeda L.) with Different Planting Densities
Diameter distributions of juvenile loblolly pine (Pinus taeda L.) with different planting densities were characterized utilizing a two-parameter Weibull distribution. Trend analysis was employed to describe the effects of planting density, age, relative spacing, and rectangularity on the estimated …
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Cumulative Sum Control Charts for Censored Reliability Data
… professionals use a number of non-normal distributions to model the resulting lifetime data with the Weibull distribution being the most frequently used. If one is interested in monitoring the quality and reliability characteristics of such processes, one needs to account for the …
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Reliability estimation using doubly censored field data
… methods for estimating the parameters of a Weibull distribution are developed under the assumption that the available data set is obtained from field performance and is consequently censored on both the left and the right. The extreme lack of data makes estimation very difficult. Estimation …
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Predictive reliabilities for electronic components
… state k from initial state l. First passage time distribution is derived for different forms of transition rates. When the initial and final states of the process are considered as random, the failure time is expressed as the mixture distribution obtained from the conditional first passage time …
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Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data
<p>In this thesis, a generalized modified Weibull distribution called the exponentiated modified Weibull Poisson (EMWP) distribution as well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including …
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Neural Network Fatigue Life Prediction in Steel I-Beams Using Mathematically Modeled Acoustic Emission Data
… modeled herein using bounded Johnson distributions and Weibull distribution. A backpropagation neural network (BPNN) is generated using MATLAB®. This BPNN is able to predict the number of cycles that ultimately cause the steel I-beams to fail via five different models of plastic …
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Inconsistency of Statistical Tests to Discriminate Lifetime Distributions and lines of Indistinguishabilty in Uniform Metric
… success of a particular product. The lifetime distribution method is widely used in the engineering and biomedical applications; In this thesis, I focus on the three most commonly used lifetime distributions: Gamma distribution, Weibull distribution, and Generalized Exponential distribution. …
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A stochastic model of component failure mechanisms
… in turn, is used in developing the failure time distribution. The model is analyzed under the assumption that the reaction rate is constant. Also, the initial state and the final state of the degradation process are assumed to be Poisson variables. Based on numerical examples, it is found that …
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Component availability for an age replacement preventive maintenance policy
… preventive maintenance service time probability distributions are unique and independent. Laplace transforms are used to simplify model development. The age replacement period, T, is treated as a parameter during model development. The partial Laplace transform is developed to deal with truncated …
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The Effect of Surface Corrosion Damage on the Fatigue Life of Extruded Aluminum Alloy 6061-T6
… using scanning electron microscopy (SEM) and Weibull statistics. It was determined that samples corroded for both 2-days and 24-days exhibit fatigue lives that can be described using a 3-parameter Weibull distribution. The result of which was the determination of a threshold value for fatigue …
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