Comments on the estimate for Pareto Distribution
U. J. Dixit, M. Jabbari Nooghabi
TL;DR
This paper defends the correctness of previous estimations of the Pareto distribution's pdf and cdf, providing detailed algebraic validation and R code to support the original results against recent critiques.
Contribution
It offers a detailed algebraic correction and validation of earlier estimations of Pareto distribution parameters, including implementation code.
Findings
Original estimations of pdf and cdf are correct.
The paper provides R code for estimation.
It clarifies misunderstandings in recent critiques.
Abstract
Dixit and Jabbari Nooghabi (2010) had derived the MLE and UMVUE of the probability density function (pdf) and cumulative distributive function (cdf). Further, it had been shown that MLE is more efficient than UMVUE. He, Zhou and Zhang (2014) have also derived the same and made a remark that the work of Dixit and Jabbari Nooghabi (2010) is not correct. We have made a comments with detail algebra that our results are correct. Further, we have also given the R code.
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Taxonomy
TopicsWater Quality and Resources Studies · Advanced Statistical Methods and Models · Statistical Methods and Bayesian Inference