论文标题
关于诱导的分布及其统计特性
On an Induced Distribution and its Statistical Properties
论文作者
论文摘要
在这项研究中，已经尝试提出一种开发新分布的方法。为此，我们只需要关于分配功能的想法。已得出了新分布的一些重要统计特性，例如矩，累积，危害和生存功能。 Renyi熵，香农熵已获得。还获得了分布参数的ML估计，这不是封闭形式。因此，数值技术用于估计参数。一些真实的数据集用于检查此分布的适用性，例如Lindley，Garima，Shanker等其他一些分布。 AIC，BIC，-2Loglikihood，K -S检验表明，所提出的分布比本研究中考虑的其他分布更好。
In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants, hazard and survival function has been derived. The renyi entropy, shannon entropy has been obtained. Also ML estimate of parameter of the distribution is obtained, that is not closed form. Therefore, numerical technique is used to estimate the parameter. Some real data sets are used to check the suitability of this distribution over some other existing distributions such as Lindley, Garima, Shanker and many more. AIC, BIC, -2loglikihood, K-S test suggest the proposed distribution works better than others distributions considered in this study.
