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Search Results (11)

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Keywords = generalized beta distribution of the second kind

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2 pages, 172 KiB  
Abstract
Pharmacological Network Study on the Effect of Quercetin on Gastric Cancer Using Computerized Databases
by Sergio Raúl Zúñiga-Hernández, Trinidad García-Iglesias, Monserrat Macías-Carballo, Juan Manuel Guzmán-Flores and Christian Martin Rodríguez-Razón
Proceedings 2024, 100(1), 10; https://doi.org/10.3390/proceedings2024100010 - 27 Mar 2024
Viewed by 884
Abstract
Gastric cancer (GC) is the second most common cause of death of any cancer-related cases in the world, and is also in the top 5 most common malignancy cancers in general. There are plenty of well-distributed treatments, offering better hygiene, more robust and [...] Read more.
Gastric cancer (GC) is the second most common cause of death of any cancer-related cases in the world, and is also in the top 5 most common malignancy cancers in general. There are plenty of well-distributed treatments, offering better hygiene, more robust and complete nutrition, and the eradication of pathogens such as Helicobacter pylori. Currently, there is still the need for more treatments, especially those of lower cost, like those coming from already easily available products. Quercetin (QRC) is a natural phenolic compound present in a wide variety of products, e.g., in plants like Hibiscus sabdariffa, onions, grapes, broccoli, and citrus fruits. This product has been shown to have great potential therapeutic effects, and it has also been suggested that it could be useful in combating different types of cancer; however, information regarding the targets or mechanisms that QRC has on cancer cells is still unclear. Therefore, this study aims to identify the targets that QRC has, like anti-cancer treatment for GC using different bio-informatic tools and databases. From MalaCards and SwissTargetPrediction, both QRC and GC molecular targets were defined, and then they were matched with the Venny 2.1.0 platform. From this, 31 genes were gathered, and then they were analyzed using the ShinnyGo0.77 and DAVID-Bioinformatic Resources. Furthermore, StringDB was used to identify the protein—protein interactions, and Citoscape 3.6.0 12 hub genes were obtained. Those hub genes were then subject to Gene Expression Profiling Interactive Analysis and TISIDB. Finally, molecular docking studies were performed using the SwissDock database. The results suggest that, according to the gene ontology data, QRC has a relationship with the regulation of cell death, response to stress, cell motility, response to amyloid-beta, cellular response to reactive oxygen species, and apoptotic processes. Some genes like EGFR were correlated with an abundance of CD8 and Neutrophil infiltration but didn’t show to improve the survival rate. Furthermore, molecular docking results show that QRC can bind to multiple molecules of interest. These results complement some of the currently available information alluding to the effectiveness of plants rich with QRC as part of the treatment used for different kinds of cancer, but it also suggests a plethora of new targets that this molecule has in GC, while at the same time giving a clearer idea of the mechanisms that are affected in GC by QRC. However, as with any other study that primarily uses bioinformatic tools, these final results are to be used for more direct and precise research, especially if experimental protocols are used. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Cancers)
17 pages, 895 KiB  
Article
Modeling High-Frequency Zeros in Time Series with Generalized Autoregressive Score Models with Explanatory Variables: An Application to Precipitation
by Pedro Vidal-Gutiérrez, Sergio Contreras-Espinoza and Francisco Novoa-Muñoz
Axioms 2024, 13(1), 15; https://doi.org/10.3390/axioms13010015 - 25 Dec 2023
Cited by 1 | Viewed by 1545
Abstract
An extension of the Generalized Autoregressive Score (GAS) model is presented for time series with excess null observations to include explanatory variables. An extension of the GAS model proposed by Harvey and Ito is suggested, and it is applied to precipitation data from [...] Read more.
An extension of the Generalized Autoregressive Score (GAS) model is presented for time series with excess null observations to include explanatory variables. An extension of the GAS model proposed by Harvey and Ito is suggested, and it is applied to precipitation data from a city in Chile. It is concluded that the model provides adequate prediction, and furthermore, an analysis of the relationship between the precipitation variable and the explanatory variables is shown. This relationship is compared with the meteorology literature, demonstrating concurrence. Full article
(This article belongs to the Special Issue Statistical Methods and Applications)
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32 pages, 3118 KiB  
Article
Tail Risk Signal Detection through a Novel EGB2 Option Pricing Model
by Hang Lin, Lixin Liu and Zhengjun Zhang
Mathematics 2023, 11(14), 3194; https://doi.org/10.3390/math11143194 - 20 Jul 2023
Cited by 2 | Viewed by 2808
Abstract
Connecting derivative pricing with tail risk management has become urgent for financial practice and academia. This paper proposes a novel option pricing model based on the exponential generalized beta of the second kind (EGB2) distribution. The newly proposed model is of generality, simplicity, [...] Read more.
Connecting derivative pricing with tail risk management has become urgent for financial practice and academia. This paper proposes a novel option pricing model based on the exponential generalized beta of the second kind (EGB2) distribution. The newly proposed model is of generality, simplicity, robustness, and financial interpretability. Most importantly, one can detect tail risk signals by calibrating the proposed model. The model includes the seminal Black–Scholes (B−S) formula as a limit case and can perfectly “replicate” the option prices from Merton’s jump-diffusion model. Based on the proposed pricing model, three tail risk warning measures are introduced for tail risk signals detection: the EGB2 implied tail index, the EGB2 implied Value-at-Risk (EGB2-VaR), and the EGB2 implied risk-neutral density (EGB2 R.N.D.). Empirical results show that the new pricing model can yield higher pricing accuracy than existing models in normal and crisis periods, and three model-based tail risk measures can perfectly detect tail risk signals before financial crises. Full article
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17 pages, 356 KiB  
Article
The Estimators of the Bent, Shape and Scale Parameters of the Gamma-Exponential Distribution and Their Asymptotic Normality
by Alexey Kudryavtsev and Oleg Shestakov
Mathematics 2022, 10(4), 619; https://doi.org/10.3390/math10040619 - 17 Feb 2022
Cited by 5 | Viewed by 1629
Abstract
When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role. The paper discusses the gamma-exponential distribution, which is closely related to the listed ones. The asymptotic normality of the [...] Read more.
When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role. The paper discusses the gamma-exponential distribution, which is closely related to the listed ones. The asymptotic normality of the previously obtained strongly consistent estimators for the bent, shape, and scale parameters of the gamma-exponential distribution at fixed concentration parameters is proved. Based on these results, asymptotic confidence intervals for the estimated parameters are constructed. The statements are based on the method of logarithmic cumulants obtained using the Mellin transform of the considered distribution. An algorithm for filtering out unnecessary solutions of the system of equations for logarithmic cumulants and a number of examples illustrating the results obtained using simulated samples are presented. The difficulties arising from the theoretical study of the estimates of concentration parameters associated with the inversion of polygamma functions are also discussed. The results of the paper can be used in the study of probabilistic models based on continuous distributions with unbounded non-negative support. Full article
(This article belongs to the Special Issue Stability Problems for Stochastic Models: Theory and Applications II)
17 pages, 530 KiB  
Article
Modeling the Future Value Distribution of a Life Insurance Portfolio
by Massimo Costabile and Fabio Viviano
Risks 2021, 9(10), 177; https://doi.org/10.3390/risks9100177 - 2 Oct 2021
Cited by 2 | Viewed by 3026
Abstract
This paper addresses the problem of approximating the future value distribution of a large and heterogeneous life insurance portfolio which would play a relevant role, for instance, for solvency capital requirement valuations. Based on a metamodel, we first select a subset of representative [...] Read more.
This paper addresses the problem of approximating the future value distribution of a large and heterogeneous life insurance portfolio which would play a relevant role, for instance, for solvency capital requirement valuations. Based on a metamodel, we first select a subset of representative policies in the portfolio. Then, by using Monte Carlo simulations, we obtain a rough estimate of the policies’ values at the chosen future date and finally we approximate the distribution of a single policy and of the entire portfolio by means of two different approaches, the ordinary least-squares method and a regression method based on the class of generalized beta distribution of the second kind. Extensive numerical experiments are provided to assess the performance of the proposed models. Full article
(This article belongs to the Special Issue Quantitative Risk Assessment in Life, Health and Pension Insurance)
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21 pages, 1918 KiB  
Article
Multivariate Classes of GB2 Distributions with Applications
by José María Sarabia, Vanesa Jordá, Faustino Prieto and Montserrat Guillén
Mathematics 2021, 9(1), 72; https://doi.org/10.3390/math9010072 - 31 Dec 2020
Cited by 10 | Viewed by 4067
Abstract
The general beta of the second kind distribution (GB2) is a flexible distribution which includes several relevant parametric families of distributions. This distribution has important applications in earnings and income distributions, finance and insurance. In this paper, several multivariate classes of the GB2 [...] Read more.
The general beta of the second kind distribution (GB2) is a flexible distribution which includes several relevant parametric families of distributions. This distribution has important applications in earnings and income distributions, finance and insurance. In this paper, several multivariate classes of the GB2 distribution are proposed. The different multivariate versions are based on two simple univariate representations of the GB2 distribution. The first type of multivariate distributions are constructed from a stochastic dependent representations defined in terms of gamma random variables. Using this representation and beginning by two particular multivariate GB2 distributions, multivariate Singh–Maddala and Dagum income distributions are presented and several properties are obtained. Then, a general multivariate GB2 distribution is introduced. The second type of multivariate distributions are based on a generalization of the distribution of the order statistics, which gives place to multivariate GB2 distribution with support above the diagonal. We discuss the role of these families in modeling bivariate income distributions. Finally, an empirical application is given, where we show that a multivariate GB2 distribution can be useful for modeling compound precipitation and wind events in the whole range. Full article
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12 pages, 1349 KiB  
Article
Surge Margin Optimization of Centrifugal Compressors Using a New Objective Function Based on Local Flow Parameters
by Johannes Ratz, Sebastian Leichtfuß, Maximilian Beck, Heinz-Peter Schiffer and Friedrich Fröhlig
Int. J. Turbomach. Propuls. Power 2019, 4(4), 42; https://doi.org/10.3390/ijtpp4040042 - 17 Dec 2019
Cited by 8 | Viewed by 7214
Abstract
Currently, 3D-CFD design optimization of centrifugal compressors in terms of the surge margin is one major unresolved issue. On that account, this paper introduces a new kind of objective function. The objective function is based on local flow parameters present at the design [...] Read more.
Currently, 3D-CFD design optimization of centrifugal compressors in terms of the surge margin is one major unresolved issue. On that account, this paper introduces a new kind of objective function. The objective function is based on local flow parameters present at the design point of the centrifugal compressor. A centrifugal compressor with a vaned diffuser is considered to demonstrate the performance of this approach. By means of a variation of the beta angle distribution of the impeller and diffuser blade, 73 design variations are generated, and several local flow parameters are evaluated. Finally, the most promising flow parameter is transferred into an objective function, and an optimization is carried out. It is shown that the new approach delivers similar results as a comparable optimization with a classic objective function using two operating points for surge margin estimation, but with less computational effort since no second operating point near the surge needs to be considered. Full article
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24 pages, 1564 KiB  
Review
Using the GB2 Income Distribution
by Duangkamon Chotikapanich, William E. Griffiths, Gholamreza Hajargasht, Wasana Karunarathne and D. S. Prasada Rao
Econometrics 2018, 6(2), 21; https://doi.org/10.3390/econometrics6020021 - 18 Apr 2018
Cited by 26 | Viewed by 11009
Abstract
To use the generalized beta distribution of the second kind (GB2) for the analysis of income and other positively skewed distributions, knowledge of estimation methods and the ability to compute quantities of interest from the estimated parameters are required. We review estimation methodology [...] Read more.
To use the generalized beta distribution of the second kind (GB2) for the analysis of income and other positively skewed distributions, knowledge of estimation methods and the ability to compute quantities of interest from the estimated parameters are required. We review estimation methodology that has appeared in the literature, and summarize expressions for inequality, poverty, and pro-poor growth that can be used to compute these measures from GB2 parameter estimates. An application to data from China and Indonesia is provided. Full article
(This article belongs to the Special Issue Econometrics and Income Inequality)
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19 pages, 1761 KiB  
Article
Bayesian Technique for the Selection of Probability Distributions for Frequency Analyses of Hydrometeorological Extremes
by Lu Chen, Vijay P. Singh and Kangdi Huang
Entropy 2018, 20(2), 117; https://doi.org/10.3390/e20020117 - 11 Feb 2018
Cited by 25 | Viewed by 5060
Abstract
Frequency analysis of hydrometeorological extremes plays an important role in the design of hydraulic structures. A multitude of distributions have been employed for hydrological frequency analysis, and more than one distribution is often found to be adequate for frequency analysis. The current method [...] Read more.
Frequency analysis of hydrometeorological extremes plays an important role in the design of hydraulic structures. A multitude of distributions have been employed for hydrological frequency analysis, and more than one distribution is often found to be adequate for frequency analysis. The current method for selecting the best fitted distributions are not so objective. Using different kinds of constraints, entropy theory was employed in this study to derive five generalized distributions for frequency analysis. These distributions are the generalized gamma (GG) distribution, generalized beta distribution of the second kind (GB2), Halphen type A distribution (Hal-A), Halphen type B distribution (Hal-B), and Halphen type inverse B (Hal-IB) distribution. The Bayesian technique was employed to objectively select the optimal distribution. The method of selection was tested using simulation as well as using extreme daily and hourly rainfall data from the Mississippi. The results showed that the Bayesian technique was able to select the best fitted distribution, thus providing a new way for model selection for frequency analysis of hydrometeorological extremes. Full article
(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
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24 pages, 2100 KiB  
Article
An EM Algorithm for Double-Pareto-Lognormal Generalized Linear Model Applied to Heavy-Tailed Insurance Claims
by Enrique Calderín-Ojeda, Kevin Fergusson and Xueyuan Wu
Risks 2017, 5(4), 60; https://doi.org/10.3390/risks5040060 - 7 Nov 2017
Cited by 9 | Viewed by 5486
Abstract
Generalized linear models might not be appropriate when the probability of extreme events is higher than that implied by the normal distribution. Extending the method for estimating the parameters of a double Pareto lognormal distribution (DPLN) in Reed and Jorgensen (2004), we develop [...] Read more.
Generalized linear models might not be appropriate when the probability of extreme events is higher than that implied by the normal distribution. Extending the method for estimating the parameters of a double Pareto lognormal distribution (DPLN) in Reed and Jorgensen (2004), we develop an EM algorithm for the heavy-tailed Double-Pareto-lognormal generalized linear model. The DPLN distribution is obtained as a mixture of a lognormal distribution with a double Pareto distribution. In this paper the associated generalized linear model has the location parameter equal to a linear predictor which is used to model insurance claim amounts for various data sets. The performance is compared with those of the generalized beta (of the second kind) and lognorma distributions. Full article
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17 pages, 2984 KiB  
Article
Generalized Beta Distribution of the Second Kind for Flood Frequency Analysis
by Lu Chen and Vijay P. Singh
Entropy 2017, 19(6), 254; https://doi.org/10.3390/e19060254 - 12 Jun 2017
Cited by 24 | Viewed by 9293
Abstract
Estimation of flood magnitude for a given recurrence interval T (T-year flood) at a specific location is needed for design of hydraulic and civil infrastructure facilities. A key step in the estimation or flood frequency analysis (FFA) is the selection of [...] Read more.
Estimation of flood magnitude for a given recurrence interval T (T-year flood) at a specific location is needed for design of hydraulic and civil infrastructure facilities. A key step in the estimation or flood frequency analysis (FFA) is the selection of a suitable distribution. More than one distribution is often found to be adequate for FFA on a given watershed and choosing the best one is often less than objective. In this study, the generalized beta distribution of the second kind (GB2) was introduced for FFA. The principle of maximum entropy (POME) method was proposed to estimate the GB2 parameters. The performance of GB2 distribution was evaluated using flood data from gauging stations on the Colorado River, USA. Frequency estimates from the GB2 distribution were also compared with those of commonly used distributions. Also, the evolution of frequency distribution along the stream from upstream to downstream was investigated. It concludes that the GB2 is appealing for FFA, since it has four parameters and includes some well-known distributions. Results of case study demonstrate that the parameters estimated by POME method are found reasonable. According to the RMSD and AIC values, the performance of the GB2 distribution is better than that of the widely used distributions in hydrology. When using different distributions for FFA, significant different design flood values are obtained. For a given return period, the design flood value of the downstream gauging stations is larger than that of the upstream gauging station. In addition, there is an evolution of distribution. Along the Yampa River, the distribution for FFA changes from the four-parameter GB2 distribution to the three-parameter Burr XII distribution. Full article
(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
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