New Bivariate Pareto Type II Models

Baharith, Lamya A.; Alzahrani, Hind

doi:10.3390/e21050473

Cited by 4 publications

(2 citation statements)

References 32 publications

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“…Sankaran and Kundu [26] pointed out the advantage of SNBP model over the LSBP model as SNBP model has the ability to describe a wide range of correlation (both positive and negative) between pair of variables whereas LSBP model is useful only for positive dependence. Baharith and Alzahrani [27] introduced a new bivariate Pareto type II distribution and illustrated the flexibility of this distribution using real-life applications. Shih et al [28] considered two bivariate Pareto models; Frank copula model and SNBP model for fitting competing risks.…”

Section: Bivariate Lomax Distribution and Concomitants Of Order Statisticsmentioning

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: Bivariate Lomax Distribution and Concomitants Of Order Statisticsmentioning

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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“…Abd Elaal et al [14] introduced a bivariate generalized exponential distribution based on the FGM and Plackett copulas. Baharith et al [15] proposed two bivariate Pareto Type II distributions; one is derived from the Gaussian copula (BPIIG) and the other is based on the mixture and Gaussian copula (BPIImG). El-sherpieny et al [16] introduced the bivariate generalized Rayleigh distribution, denoted as Clayton-BGR, which is based on the Clayton copula.…”

Section: Introductionmentioning

confidence: 99%

Advanced Copula-Based Models for Type II Censored Data: Applications in Industrial and Medical Settings

Almetwally,

Fayomi,

Qura

2024

Mathematics

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Copula models are increasingly recognized for their ability to capture complex dependencies among random variables. In this study, we introduce three innovative bivariate models utilizing copula functions: the XLindley (XL) distribution with Frank, Gumbel, and Clayton copulas. The results highlight the fundamental characteristics and effectiveness of these newly introduced bivariate models. Statistical inference for the distribution parameters is conducted using a Type II censored sampling design. This employs maximum likelihood and Bayesian estimation techniques. Asymptotic and credible confidence intervals are calculated, and numerical analysis is performed using the Markov Chain Monte Carlo method. The proposed methodology’s applicability is illustrated by analyzing several real-world datasets. The initial dataset examines burr formation occurrences and consists of two observation sets. Additionally, the second and third datasets contain medical information. The second dataset focuses on diabetic nephropathy, while the third dataset explores infection and recurrence time among kidney patients.

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