Wrapped modified Lindley distribution

Chesneau, Christophe; Tomy, Lishamol; Jose, Meenu

doi:10.1080/09720510.2020.1796313

Cited by 6 publications

(5 citation statements)

References 12 publications

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“…Moreover, we validate the practical utility of our model by applying it to real-world data sets. Our observations reveal that both the proposed distribution and its underlying distribution offer a superior fit compared to various other distributions, including the wrapped exponential distribution (Jammalamadaka and Kozubowski in [11]), the wrapped Lindley (Joshi et al in [30]), the wrapped xgamma distribution (Hazem-AI-Mofleh et al in [31]), the wrapped modified Lindley distribution (Christophe et al in [32]), the stereographic semicircular half logistic distribution (P. Yedlapalli et al in [23]), the stereographic semicircular quasi Lindley distribution (P. Yedlapalli et al in [22]), and the transmuted wrapped exponential distribution (Abdullah Yilmaz in [21]). Furthermore, our findings indicate that the transmuted distribution exhibits greater flexibility than its base distribution.…”

Section: Discussionmentioning

confidence: 80%

Toward Enhanced Geological Analysis: A Novel Approach Based on Transmuted Semicircular Distribution

Yedlapalli,

Kishore,

Boulila

et al. 2023

Symmetry

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This paper introduces a novel semicircular distribution obtained by applying the quadratic rank transmutation map to the stereographic semicircular exponential distribution, referred to as the transmuted stereographic semicircular exponential distribution (TSSCED). This newly proposed distribution exhibits enhanced flexibility compared to the baseline stereographic semicircular exponential distribution (SSCEXP). We conduct a comprehensive analysis of the model’s properties and demonstrate its efficacy in data modeling through the application to a real dataset.

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Section: Discussionmentioning

confidence: 80%

Toward Enhanced Geological Analysis: A Novel Approach Based on Transmuted Semicircular Distribution

Yedlapalli,

Kishore,

Boulila

et al. 2023

Symmetry

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“…e hazard function is defined as the ratio of the probability distribution function as in equation ( 6) to the reliability function as in (18) and expressed as…”

Section: Reliability Analysismentioning

confidence: 99%

“…e Weibull Lindley distribution by Asgharzadeh et al [17], wrapped modified Lindley distribution, is the latest modification of Lindley distribution by Chesneau et al [18].…”

Section: Introductionmentioning

confidence: 99%

Classical Inference of the Cubic Transmuted Lindley Distribution under Type-II Censored Sample

Khan

Alharthi

Aljohani

et al. 2022

Mathematical Problems in Engineering

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Statistician always tries to find an easy method that gives a suitable fit. However, proposing a new distribution always solves many statistical problems. In this paper, we introduce a new extension of the Lindley distribution. We made a statistical inference under complete and Type-II censored sample on a new extension of the Lindley distribution. We have deduced its PDF and CDF using a cubic transmuted family that is because the new equations are very easy in computation. We called the new form the cubic transmuted Lindley distribution. The probability distribution function and the cumulative distribution function were also written as a closed form along with some mathematical properties. The classical method, which is the maximum likelihood estimation technique and maximum product of spacing technique, was used to find the estimators of the unknown model parameters. At last, to prove the superiority and applicability of the model, three real data sets are implemented and compared using the proposed method. We made a comparison with some of its baseline distributions and some other extensions, and our model outperforms the published ones.

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“…In addition, modified Lindley distribution is a strong one-parameter competitor to the Lindley and exponential distributions. Furthermore, Chesneau et al, 23 Chesneau et al 24 studied two generalizations for the modified Lindley distribution, such as the inverse modified Lindley and the wrapped modified Lindley distributions, respectively and presented their statistical properties.…”

Section: Modified Lindley Distributionmentioning

confidence: 99%

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2021

BBIJ

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