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Showing 1 to 20 of 26 for “"beta distribution"”.
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Confidence Interval for the Mean of a Beta Distribution
<p>Statistical inference for the mean of a beta distribution has become increasingly popular in various fields of academic research. In this study, we developed a novel statistical model from likelihood-based techniques to evaluate various confidence interval techniques for the mean of a beta …
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Properties of Weighted Generalized Beta Distribution of the Second Kind
… this thesis, a new class of weighted generalized beta distribution of the second kind (WGB2) is presented. The construction makes use of the conservability approach' which includes the size or length-biased distribution as a special case. The class of WGB2 is used as descriptive models for the …
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A UNIFORMLY MOST POWERFUL TEST FOR THE MEAN OF A BETA DISTRIBUTION
<p>The beta distribution is used in numerous real-world applications, including areas such as manufacturing (quality control) and analyzing patient outcomes in health care. It also plays a key role in statistical theory, including multivariate analysis of variance (MANOVA) and Bayesian statistics. …
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Confidence Intervals for the Difference and Ratio of Two Means from Independent Beta Distribution
… and ratio of means from two independent Beta distributions using Maximum Likelihood Estimation (MLE) and the Wald method. It addresses the limitations of traditional methods due to the unique properties of Beta distributions. Extensive simulation studies assess interval performance based …
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Using Saddlepoint Approximations and Likelihood-Based Methods to Conduct Statistical Inference for the Mean of the Beta Distribution
… statistical inference for the mean of the beta distribution has been rising in various fields of academic research, such as in immunology that analyzes proportions of rare cell population subsets. For our purposes, we will address this statistical inference problem by using likelihood-based …
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Inferential Methods for High-Throughput Methylation Data
… assumes that data arise from an underlying distribution encompassing the entire real number line, whereas b1 and b2 are constrained on the interval . Additionally, the imposition of a filter at a level signifying the minimum level of detectable difference to a Two Sample t-test likely …
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Bayesian approach for modeling zero-inflated plant percent covers using spatial left-censored beta regression
Species distribution models are tools to combine species observations to environmental data. These models learn about the species' ecological preferences and can be used to predict their distributions in unsampled locations or under climate change scenarios. This information is essential to learn …
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Modeling increased height, diameter, and specific gravity effects on yield estimates in planted loblolly pine stands
… were multiple regression and the diameter distribution approach using the beta distribution. Under the diameter distribution approach alternatives involving a piecewise integration over diameter class limits and a "unified" approach were considered. The models were compared to each other …
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Analytical determination of autocorrelation and noise power density spectrum of randomly modulated pulse width square waves
… for heights of random square wave have Gamma-Distribution Density Function. In addition to this distribution function, we consider the rectangular and Beta-density function on the base of square waves. In fact, the leading edges of most periodic-random base function can be simply described by …
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Statistical methods applied to acousto-ultrasonic technique
… that the transformed/actual readings follow a Beta distribution and that specimens of different quality are readily distinguishable using the statistical analysis of the AUF response. Reasonable future steps for translating these findings into efficient quality evaluation methods have been …
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Applications and Computation of Stateful Polya Trees
… trees are a class of nonparametric priors on distributions which are able to model absolutely continuous distributions directly, rather than modeling a discrete distribution over parameters of a mixing kernel to obtain an absolutely continuous distribution. The Polya tree discretizes the state …
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Reliability Analysis of Tailings Storage Facility Embankments: Investigating the Effect of Zonation on Slope Stability
… the saturated zone was represented through Beta-distributed friction angles (φ). The Beta distribution was selected because it is bounded between user-defined minimum and maximum limits and can flexibly reproduce a wide range of strength conditions. The distribution parameters were adjusted …
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Forecasting of work in process quality using Holt-Winters method for missing observations
… a process. Initial values were generated using Beta distribution. Values of fraction non-conforming for future periods were generated using different processes such as Autoregressive and Autoregressive Moving Average process. Some of the values in each data set were assumed to be missing. The …
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Development of a state prediction model to aid decision making in condition based maintenance
… andsecondly, a wear process determined from a beta distribution. In developing thesemodels, we used vibration and oil analysis data. Note that understanding, manipulatingand analysing of the data played an important role in this thesis. This is needed not onlyfor model development, but also for …
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Video traffic modeling and delivery
… of MPEG video traffic. Furthermore, generalized Beta distribution is proposed to model the probability density functions (PDFs) of MPEG video traffic. It is observed that the ACF of MPEG video traffic fluctuates around three envelopes, reflecting the fact that different coding methods reduce the …
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Gyvūnų aptikimas keliuose /
… training the models. By using image mixup with beta distribution B(1, 1) the model reached 8.02% accuracy improvement. Additionally, I used brightness, contrast, hue, saturation and horizontal image flip image augmentations, that were randomly applied to images while training the models. Only …
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On the role of mixing in controlling transport of aqueous species in heterogeneous formations
… to 2 and three different source sizes), and also Beta Cumulative Frequency Distributions (CFDs) with shape parameters obtained by substituting the theoretical global moments compare well with the numerical CFDs. As expected, coherent estimates of peak concentration are not equally good, because of …
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Essays on Model Selection Uncertainty and Model Averaging: Computational and Empirical Work with Beta Regression, Multiple Linear Regression with ARMA Innovations, and the Minimum Description Length Principle
… In Chapter 2, regression models based on the beta distribution were investigated from the standpoint of multi-model uncertainty and model averaging. A tool that can combine model selection uncertainty and beta regression modeling was developed. It combined bootstrap-based resampling, model …
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Algorithms for estimating rates of nucleotide change
… is the generalisation of Wright's stationary beta distribution to higher dimensions. This involves finding a stationary solution to the multi-allelic forward Kolmogorov equation. We present an approximate analytic solution to the neutrally evolving multi-allelic forward Kolmogorov equation in …
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Algorithms for estimating rates of nucleotide change
… is the generalisation of Wright's stationary beta distribution to higher dimensions. This involves finding a stationary solution to the multi-allelic forward Kolmogorov equation. We present an approximate analytic solution to the neutrally evolving multi-allelic forward Kolmogorov equation in …
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