Discriminating between the Weibull and log-normal distributions for Type-II censored data

Dey, Arabin Kumar; Kundu, Debasis

doi:10.1080/02331888.2010.504990

Cited by 35 publications

(15 citation statements)

References 16 publications

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“…Kundu & Manglick [18] obtained the asymptotic distribution of the discrimination statistic RML and determined the probability of correct selection (PCS) by using asymptotic distribution in this discrimination process. Dey and Kundu [19] extended the Kundu & Manglick [18]'s results to Type-II censored sample case. Pasha et al [14] used RML and most powerful invariant for discriminating these distributions based on complete sample.…”

Section: Introductionmentioning

confidence: 85%

Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

Kuş¹,

Pekgör²,

Kınacı³

2019

Cumhuriyet Science Journal

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In this paper, the ratio of maximized likelihood and Minimized Kullback-Leibler Divergence methods are discussed for discrimination between log-normal and Weibull distributions. The progressive Type-II right censored sample is considered in the study. The probability of correct selections is simulated and compared to investigate the performance of the procedures for different censoring schemes and parameter settings.

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Section: Introductionmentioning

confidence: 85%

Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

Kuş¹,

Pekgör²,

Kınacı³

2019

Cumhuriyet Science Journal

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“…These parameters are initialized using the results from the first approach and updated iteratively during the inversion. 100 iterations were performed on each flare, and the inversion was carried out twice, once assuming a log-normal type bubble size distribution (Veloso et al, 2015), and once assuming a Weibull type distribution (Dey and Kundu, 2012).…”

Section: Estimation Of Gas Fluxesmentioning

confidence: 99%

Estimates of Methane Release From Gas Seeps at the Southern Hikurangi Margin, New Zealand

et al. 2022

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The highest concentration of cold seep sites worldwide has been observed along convergent margins, where fluid migration through sedimentary sequences is enhanced by tectonic deformation and dewatering of marine sediments. In these regions, gas seeps support thriving chemosynthetic ecosystems increasing productivity and biodiversity along the margin. In this paper, we combine seismic reflection, multibeam and split-beam hydroacoustic data to identify, map and characterize five known sites of active gas seepage. The study area, on the southern Hikurangi Margin off the North Island of Aotearoa/New Zealand, is a well-established gas hydrate province and has widespread evidence for methane seepage. The combination of seismic and hydroacoustic data enable us to investigate the geological structures underlying the seep sites, the origin of the gas in the subsurface and the associated distribution of gas flares emanating from the seabed. Using multi-frequency split-beam echosounder (EK60) data we constrain the volume of gas released at the targeted seep sites that lie between 1,110 and 2,060 m deep. We estimate the total deep-water seeps in the study area emission between 8.66 and 27.21 × 106 kg of methane gas per year. Moreover, we extrpolate methane fluxes for the whole Hikurangi Margin based on an existing gas seep database, that range between 2.77 × 108 and 9.32 × 108 kg of methane released each year. These estimates can result in a potential decrease of regional pH of 0.015–0.166 relative to the background value of 7.962. This study provides the most quantitative assessment to date of total methane release on the Hikurangi Margin. The results have implications for understanding what drives variation in seafloor biological communities and ocean biogeochemistry in subduction margin cold seep sites.

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“…Recently, Kundu and his co-authors have conducted extensive research on how to select the most suitable lifetime distribution for a given data set. For example, the differences between the Weibull and log-normal distribution have been studied by deriving the asymptotic distribution of likelihood ratio (LR) estimators where the minimal sample size to distinguish these distributions is also deduced [260]. Besides, they further study how to discriminate other distributions, such as the generalized exponential and Weibull distribution [261], and the log-normal and generalized exponential distribution [262].…”

Section: A Model Mis-specificationmentioning

confidence: 99%

Modeling and Analysis of Performance Degradation Data for Reliability Assessment: A Review

Chen

Liu

et al. 2020

IEEE Access

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Reliability engineering plays an important role in the design, manufacture, maintenance, and replacement of industrial products. Over the last few decades, accelerated degradation testing (ADT) has been largely utilized to shorten test durations, reduce the samples needed, and provide sufficient degradation data to ensure the effective reliability assessment of the concerned products. Meanwhile, performance degradation modeling has been recognized as an essential approach to help researchers and producers understand the health conditions of the deteriorating systems. However, the diversity in reliability tests, degradation models, and statistical analysis techniques has increased the difficulty in selecting appropriate reliability assessment methods in specific scenarios. Besides, there are no systematic reviews focused on modeling and analysis of performance degradation data. Therefore, this paper aims to (1) present ADT fundamentals, including the basic theory, ADT methods, accelerated stress variables, type of acceleration models, as well as ADT optimization, (2) comprehensively review current states and future challenges in degradation modeling, (3) discuss the problem of model mis-specification and compare different approaches for parameter estimation, (4) highlight future opportunities and possible directions deserving further research.

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Discriminating between the Weibull and log-normal distributions for Type-II censored data

Cited by 35 publications

References 16 publications

Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

Estimates of Methane Release From Gas Seeps at the Southern Hikurangi Margin, New Zealand

Modeling and Analysis of Performance Degradation Data for Reliability Assessment: A Review

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