论文标题
研究一个参数多项式分布的PDF和CDF估计器的研究
Study on estimators of the PDF and CDF of the one parameter polynomial exponential distribution
论文作者
论文摘要
在本文中，我们考虑了一个参数多项式指数（OPPE）分布。指数，林德利，长度偏见的林德利和苏哈莎分布是特定情况。已经讨论了两个估计量，即PDF的MLE和UMVUE和OPPE分布的CDF。详细考虑了长度偏见的林德利和苏哈莎分布的估计问题。估计器已从MSE的意义上进行了比较。进行蒙特卡洛模拟和实际数据分析，以比较提出的估计方法的性能。
In this article, we have considered one parameter polynomial exponential (OPPE) distribution. The exponential, Lindley, length-biased Lindley and Sujatha distribution are particular cases. Two estimators viz, MLE and UMVUE of the PDF and the CDF of the OPPE distribution have been discussed. The estimation issue of the length-biased Lindley and Sujatha distribution have been considered in detail. The estimators have been compared in MSE sense. Monte Carlo simulations and real data analysis are performed to compare the performances of the proposed methods of estimation.
