
Une nouvelle généralisation de la distribution de Weibull-Pareto appelée distribution de Weibull-Pareto exponentiée est définie et étudiée. Diverses propriétés structurelles, y compris les moments ordinaires, les quantiles, les entropies Rényi et q et les statistiques d'ordre sont dérivées. Nous avons proposé la méthode du maximum de vraisemblance pour estimer les paramètres du modèle. Nous fournissons les résultats de simulation pour évaluer la performance du modèle proposé. L'utilité et la flexibilité du nouveau modèle sont illustrées à l'aide de données réelles.
Se define y estudia una nueva generalización de la distribución de Weibull-Pareto llamada distribución exponenciada de Weibull-Pareto. Se derivan diversas propiedades estructurales que incluyen momentos ordinarios, cuantiles, Rényi y q-entropías y estadísticas de orden. Propusimos el método de máxima probabilidad para estimar los parámetros del modelo. Proporcionamos los resultados de la simulación para evaluar el rendimiento del modelo propuesto. La utilidad y flexibilidad del nuevo modelo se ilustra utilizando datos reales.
A new generalization of the Weibull-Pareto distribution called the exponentiated Weibull-Pareto distribution is defined and studied.Various structural properties including ordinary moments, quantiles, Rényi and q-entropies and order statistics are derived.We proposed the method of maximum likelihood for estimating the model parameters.We provide the simulation results to assess the performance of the proposed model.The usefulness and flexibility of the new model is illustrated using real data.
يتم تعريف ودراسة تعميم جديد لتوزيع Weibull - Pareto يسمى توزيع Weibull - Pareto الأس. يتم اشتقاق خصائص هيكلية مختلفة بما في ذلك اللحظات العادية والكميات و Rényi و q - entropies وإحصاءات الترتيب. اقترحنا طريقة الحد الأقصى للاحتمال لتقدير معلمات النموذج. نحن نقدم نتائج المحاكاة لتقييم أداء النموذج المقترح. يتم توضيح فائدة ومرونة النموذج الجديد باستخدام بيانات حقيقية.
Statistics and Probability, Exponentiated distribution, Weibull-Pareto distribution, Social Sciences, Pareto interpolation, Pareto distribution, QA273-280, Weibull Distribution, Decision Sciences, FOS: Economics and business, Weibull modulus, Skew Distributions and Applications in Statistics, Parameter estimation, FOS: Mathematics, Econometrics, Exponentiated Weibull distribution, R´enyi entropy, Global and Planetary Change, Lomax distribution, Statistics, Extreme value theory, Applied mathematics, Generalized Pareto distribution, Order statistics, Generalized Exponential, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Global Drought Monitoring and Assessment, Environmental Science, Weibull distribution, Statistics, Probability and Uncertainty, Probabilities. Mathematical statistics, Pareto principle, Mathematics
Statistics and Probability, Exponentiated distribution, Weibull-Pareto distribution, Social Sciences, Pareto interpolation, Pareto distribution, QA273-280, Weibull Distribution, Decision Sciences, FOS: Economics and business, Weibull modulus, Skew Distributions and Applications in Statistics, Parameter estimation, FOS: Mathematics, Econometrics, Exponentiated Weibull distribution, R´enyi entropy, Global and Planetary Change, Lomax distribution, Statistics, Extreme value theory, Applied mathematics, Generalized Pareto distribution, Order statistics, Generalized Exponential, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Global Drought Monitoring and Assessment, Environmental Science, Weibull distribution, Statistics, Probability and Uncertainty, Probabilities. Mathematical statistics, Pareto principle, Mathematics
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