2022
DOI: 10.3390/math10214102
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Improved Estimation of the Inverted Kumaraswamy Distribution Parameters Based on Ranked Set Sampling with an Application to Real Data

Abstract: The ranked set sampling (RSS) methodology is an effective technique of acquiring data when measuring the units in a population is costly, while ranking them is easy according to the variable of interest. In this article, we deal with an RSS-based estimation of the inverted Kumaraswamy distribution parameters, which is extensively applied in life testing and reliability studies. Some estimation techniques are regarded, including the maximum likelihood, the maximum product of spacing’s, ordinary least squares, w… Show more

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Cited by 18 publications
(9 citation statements)
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“…which implies that we can know the posterior distribution for each unknown parameter, with S Θ being the support of Θ , recalling that Θ = (w 1 , w 2 , w 3 , α, β) . The inclusion of the S-step of the SEM algorithm may be considered a Bayesian extension of the usual EM algorithm, as it consists of simulating U, W, and Θ from their posterior distributions, as indicated in (5). As described below, the simulation techniques we use here are the Gibbs sampling and Metropolis-Hastings algorithm [63].…”
Section: S-stepmentioning
confidence: 99%
See 3 more Smart Citations
“…which implies that we can know the posterior distribution for each unknown parameter, with S Θ being the support of Θ , recalling that Θ = (w 1 , w 2 , w 3 , α, β) . The inclusion of the S-step of the SEM algorithm may be considered a Bayesian extension of the usual EM algorithm, as it consists of simulating U, W, and Θ from their posterior distributions, as indicated in (5). As described below, the simulation techniques we use here are the Gibbs sampling and Metropolis-Hastings algorithm [63].…”
Section: S-stepmentioning
confidence: 99%
“…Later, in [2], it was renamed the Kumaraswamy distribution. Additional references to this and related distributions include [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Recently, the trapezoidal Kumaraswamy (TK) distribution [17] was developed to enhance the flexibility of the Kumaraswamy distribution while preserving its fundamental properties.…”
Section: Introductionmentioning
confidence: 99%
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“…For more research on RSS-based reliability estimate [19,20,21,22,23]. Further findings on RSS-based parametric estimation encompass several estimation techniques [24,25,26,27,28,29]. Probability distribution models are essential and widely utilized in many domains, including physics, medicine, business management, engineering, etc.…”
Section: Introductionmentioning
confidence: 99%