Transmuted Lower Record Type Power Function Distribution

Tanış, Caner

doi:10.46939/j.sci.arts-21.4-a07

Cited by 3 publications

(2 citation statements)

References 10 publications

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“…Both in terms of distribution properties and statistical inference parallel to the study [11]. Tanış et al [13], introduced a transmutation lower record type and suggested a sub-model for Fréchet distribution, moreover Tanış [14], suggested transmutation lower record type inverse Rayleigh and Tanış [15], suggested transmutation lower record type power function distribution.…”

Section: Introductionmentioning

confidence: 88%

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Erbayram

YILDIRIM

Akdoğan

2022

Cumhuriyet Science Journal

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This article introduces a new lifetime distribution by merging the first two lower records based on exponential distribution and discusses the different features of the distribution. Statistical inferences about the distribution parameters are discussed with three estimation methods, namely maximum likelihood, least squares, and weighted least squares. Monte Carlo simulation study is performed to evaluate of these estimators based on mean square errors estimation, mean absolute deviation, and mean relative errors of estimation for a sample of different sizes. A distribution simulation analysis based on real data is provided to demonstrate the adaptability of the proposed model.

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Section: Introductionmentioning

confidence: 88%

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Erbayram

YILDIRIM

Akdoğan

2022

Cumhuriyet Science Journal

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“…The least-square estimates (LSEs), weighted least square estimate (WLSEs), Anderson-Darling estimate (ADEs) and Cramer-von Mises estimate (CvMEs) are obtained by minimizing Equations ( 21)-(24), respectively. One can find many research that used these estimators such as [20] and [21].…”

Section:  mentioning

confidence: 99%

Unit Burr-Hatke Distribution With a New Quantile Regression Model

SAĞLAM

Karakaya

2022

J. Sci. Arts

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In this study, a new distribution is introduced. The Burr-Hatke distribution is considered the baseline distribution. Since the baseline distribution has one parameter, the new unit distribution also has one parameter. Some distributional properties such as moments, coefficients of skewness and kurtosis, stochastic ordering, etc. of the new distribution are studied. Five estimators such as maximum likelihood, least squares, weighted least squares, Anderson-Darling, and Cramer-von Mises are examined to estimate the unknown parameter of the new model. The performances of the estimators are analyzed according to the bias and mean square error criteria calculated by Monte Carlo simulation. Two numerical data analyses are performed. A new quantile regression model is also introduced based on the new distribution as an alternative to beta and Kumaraswamy regression. A Monte Carlo simulation is also conducted for the new regression model.

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A new Lindley distribution: applications to COVID-19 patients data

Tanış

2023

Soft Comput

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Transmuted Lower Record Type Power Function Distribution

Cited by 3 publications

References 10 publications

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Unit Burr-Hatke Distribution With a New Quantile Regression Model

A new Lindley distribution: applications to COVID-19 patients data

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