Sequential fixed-accuracy confidence intervals for the stress–strength reliability parameter for the exponential distribution: two-stage sampling procedure

Khalifeh, Ashkan; Mahmoudi, Eisa; Chaturvedi, Anoop

doi:10.1007/s00180-020-00957-5

Cited by 13 publications

(5 citation statements)

References 29 publications

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“…Literature on sequential estimation methodologies is vast and still being explored. In particular, a few recent works aimed at finding appropriate confidence intervals include, [ 15 ], who developed a general sequential fixed-accuracy confidence interval, [ 16 ], who looked at constructing bounded length intervals, [ 17 , 18 ] who constructed fixed-accuracy intervals for parameters under an inverse Gaussian and bivariate exponential models or [ 19 ], who derived fixed-accuracy intervals for the reliability parameter of an exponential distribution.…”

Section: Data Modeling and Analysismentioning

confidence: 99%

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Bapat

2021

PLoS ONE

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Estimating the contact angle of a virus infected saliva droplet is seen to be an important area of research as it presents an idea about the drying time of the respective droplet and in turn of the growth of the underlying pandemic. In this paper we extend the data presented by Balusamy, Banerjee and Sahu [“Lifetime of sessile saliva droplets in the context of SARS-CoV-2,” Int. J. Heat Mass Transf. 123, 105178 (2021)], where the contact angles are fitted using a newly proposed half-circular wrapped-exponential model, and a sequential confidence interval estimation approach is established which largely reduces both time and cost with regards to data collection.

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Section: Data Modeling and Analysismentioning

confidence: 99%

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Bapat

2021

PLoS ONE

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“…Literature on sequential estimation methodologies is vast and still being explored. In particular, a few recent works aimed at finding appropriate confidence intervals include, Banerjee and Mukhopadhyay [15], who developed a general sequential fixed-accuracy confidence interval, Mukhopadhyay and Banerjee [16], who looked at constructing bounded length intervals, Bapat [17,18] who constructed fixed-accuracy intervals for parameters under an inverse Gaussian and bivariate exponential models or Khalifeh et al [19], who derived fixed-accuracy intervals for the reliability parameter of an exponential distribution.…”

Section: A Sequential Fixed-width Confidence Intervalmentioning

confidence: 99%

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Bapat

2021

Preprint

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Estimating the contact angle of a virus infected saliva droplet is seen to be an important area of research as it presents an idea about the drying time of the respective droplet and in turn of the growth of the underlying pandemic. In this paper we extend the data presented by Balusamy, Banerjee and Sahu ["Lifetime of sessile saliva droplets in the context of SARS-CoV-2," Int. J. Heat Mass Transf. 123, 105178 (2021)], where the contact angles are fitted using a newly proposed half-circular wrapped-exponential model, and a sequential confidence interval estimation approach is established which largely reduces both time and cost with regards to data collection.

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“…Under two bivariate exponential models, Bapat (2018) developed a purely sequential IJQRM 41,7 technique for the problem of fixed-accuracy confidence interval estimation of the SSR parameter R. Mahmoudi et al (2019) have considered the problem of estimating the SSR parameter R for the exponential distribution under the two-stage and purely sequential minimum risk point estimation setup. Two-stage fixed-accuracy confidence intervals for the SSR parameter R under an exponential distribution have been taken into consideration by Khalifeh et al (2020). Purely sequential methodologies for estimating the reliability function of a two-parameter gamma distribution under a fixed-accuracy confidence interval estimation setup have been put forth by Zhuang et al (2020).…”

Section: Introductionmentioning

confidence: 99%

“…(2019) have considered the problem of estimating the SSR parameter R for the exponential distribution under the two-stage and purely sequential minimum risk point estimation setup. Two-stage fixed-accuracy confidence intervals for the SSR parameter R under an exponential distribution have been taken into consideration by Khalifeh et al. (2020).…”

Section: Introductionmentioning

confidence: 99%

Optimal estimation of reliability parameter for inverse Pareto distribution with application to insurance data

Joshi,

Bapat,

Sengupta

2024

IJQRM

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PurposeThe purpose of this paper is to develop optimal estimation procedures for the stress-strength reliability (SSR) parameter R = P(X > Y) of an inverse Pareto distribution (IPD).Design/methodology/approachWe estimate the SSR parameter R = P(X > Y) of the IPD under the minimum risk and bounded risk point estimation problems, where X and Y are strength and stress variables, respectively. The total loss function considered is a combination of estimation error (squared error) and cost, utilizing which we minimize the associated risk in order to estimate the reliability parameter. As no fixed-sample technique can be used to solve the proposed point estimation problems, we propose some “cost and time efficient” adaptive sampling techniques (two-stage and purely sequential sampling methods) to tackle them.FindingsWe state important results based on the proposed sampling methodologies. These include estimations of the expected sample size, standard deviation (SD) and mean square error (MSE) of the terminal estimator of reliability parameters. The theoretical values of reliability parameters and the associated sample size and risk functions are well supported by exhaustive simulation analyses. The applicability of our suggested methodology is further corroborated by a real dataset based on insurance claims.Originality/valueThis study will be useful for scenarios where various logistical concerns are involved in the reliability analysis. The methodologies proposed in this study can reduce the number of sampling operations substantially and save time and cost to a great extent.

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Sequential fixed-accuracy confidence intervals for the stress–strength reliability parameter for the exponential distribution: two-stage sampling procedure

Cited by 13 publications

References 29 publications

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Sequentially estimating the dynamic contact angle of sessile saliva droplets in view of SARS-CoV-2

Optimal estimation of reliability parameter for inverse Pareto distribution with application to insurance data

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