An overlooked Lomax-exponential connection

Lun, Zhixin; Khattree, Ravindra

doi:10.1080/03610926.2020.1734836

Cited by 2 publications

(1 citation statement)

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“…, , BL a b p distribution. A "NonNorMvtDist" package in R developed by Lun and Khattree [34] does a simulation from various multivariate distributions. The " () rmvlomax " function in this package requires three arguments as ( n, 1 par , 2 par ) and generates n rows of multivariate Lomax distribution with 1 par as a shape parameter, 2 par as a vector of k scale parameters of k-variate Lomax distribution.…”

Section: Estimation Based On Simulated Datamentioning

confidence: 99%

Efficient Estimation of a Scale Parameter of Bivariate Lomax Distribution by Ranked Set Sampling

Koshti

Kamalja

2021

Calcutta Statistical Association Bulletin

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Ranked set sampling (RSS) is an efficient technique for estimating parameters and is applicable whenever ranking on a set of sampling units can be done easily by a judgment method or based on an auxiliary variable. In this paper, we assume [Formula: see text]to have bivariate Lomax distribution where a study variable [Formula: see text]is difficult and/or expensive to measure and is correlated with an auxiliary variable [Formula: see text] which is readily measurable. The auxiliary variable is used to rank the sampling units. In this article, we propose an estimator for the scale parameter of bivariate Lomax distribution using some of the modified RSS schemes. Efficiency comparison of the proposed estimators is performed numerically as well as graphically. A simulation study is also performed to demonstrate the performance of the proposed estimators. Finally, we implement the results to real-life datasets. AMS classification codes: 62D05, 62F07, 62G30

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Section: Estimation Based On Simulated Datamentioning

confidence: 99%