有界逆切帕累托模型:结构特性和实际应用

Ishfaq S. Ahmad, M. Y. Bhat, P. B. Ahmad, J. Dar, S. Pinelas
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引用次数: 0

摘要

提出了一种新的有界支持概率模型。这个新的概率模型的公式是基于反转的帕累托分布。这个新分布的优点是非常简单,在其构造中不涉及任何复杂的数学函数。一些有趣的性质,如矩,偏度和峰度,单峰性,l -矩,l -偏度和l -峰度将被详细探讨。给出了各种生存特性,包括生存函数、危险率函数和平均剩余寿命(MRL)。为了估计新模型中包含的参数,使用了矩量法(MOM)和最大似然估计(MLE)等方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bounded Inverse-Slashed Pareto Model: Structural Properties and Real-Life Applications
A novel probability model with bounded support is introduced. The formulation of this new probability model is based on inverting the Slashed Pareto distribution. This new distribution has the merit of being very simple and not involving any complex mathematical function in its construction. Some interesting properties like moments, skewness and kurtosis, unimodality, L-Moments, L-skewness and L-kurtosis would be explored in detail. Various Survival properties including survival function, hazard rate function and mean residual life(MRL) like have been given. For estimating the parameters contained in the new model, methods like Method of Moments (MOM) and Maximum Likelihood Estimation (MLE) have been used.
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