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|a 10.1080/02664763.2020.1813694
|2 doi
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|a DE-627
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|a eng
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|a Sharma, Vikas Kumar
|e verfasserin
|4 aut
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|a Exponentiated Teissier distribution with increasing, decreasing and bathtub hazard functions
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|c 2022
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|a Text
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|a ƒaComputermedien
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|a Date Revised 20.09.2024
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|a published: Electronic-eCollection
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|a CommentIn: J Appl Stat. 2023 Dec 21;51(13):2709-2714. doi: 10.1080/02664763.2023.2297149. - PMID 39300975
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|a Citation Status PubMed-not-MEDLINE
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|a © 2020 Informa UK Limited, trading as Taylor & Francis Group.
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|a This article introduces a two-parameter exponentiated Teissier distribution. It is the main advantage of the distribution to have increasing, decreasing and bathtub shapes for its hazard rate function. The expressions of the ordinary moments, identifiability, quantiles, moments of order statistics, mean residual life function and entropy measure are derived. The skewness and kurtosis of the distribution are explored using the quantiles. In order to study two independent random variables, stress-strength reliability and stochastic orderings are discussed. Estimators based on likelihood, least squares, weighted least squares and product spacings are constructed for estimating the unknown parameters of the distribution. An algorithm is presented for random sample generation from the distribution. Simulation experiments are conducted to compare the performances of the considered estimators of the parameters and percentiles. Three sets of real data are fitted by using the proposed distribution over the competing distributions
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|a Journal Article
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|a 60E05
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|a 62F10
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|a 62F99
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|a Exponentiated family
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|a Teissier distribution
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|a estimation
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|a identifiability
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|a mean residual life
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|a moments
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|a Singh, Sudhanshu V
|e verfasserin
|4 aut
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|a Shekhawat, Komal
|e verfasserin
|4 aut
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|i Enthalten in
|t Journal of applied statistics
|d 1991
|g 49(2022), 2 vom: 16., Seite 371-393
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|x 0266-4763
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|g volume:49
|g year:2022
|g number:2
|g day:16
|g pages:371-393
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|u http://dx.doi.org/10.1080/02664763.2020.1813694
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