Gamma Mixture: Bimodality, Inflexions and L-Moments

Ahmed, Sabbir; Goria, M. N.; Hussein, Abdulkadir

doi:10.1080/03610920701713286

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…Our hypothesis was that the wear debris morphology represents multiple overlapping or mixture distributions [19][20][21][22][23]. Therefore, the objective of this work was to investigate and compare PE debris distributions using single, dual (bi), and mixture distribution models.…”

Section: Introductionmentioning

confidence: 99%

Understanding polyethylene wear mechanisms by modeling of debris size distributions

Williams¹,

Clarke²

2009

Wear

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Section: Introductionmentioning

confidence: 99%

Understanding polyethylene wear mechanisms by modeling of debris size distributions

Williams¹,

Clarke²

2009

Wear

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“…The different bimodal and skew distributions have been proposed over the last decade to construct flexible distributions. The proposed distributions are in [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ] and references therein via using different generating techniques [ 27 ] to get a probability density function (PDF). In these distributions,

-skew form of gamma distribution on the real line was proposed by [ 5 , 6 ].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Bimodal Exponential Power Distribution on the Real Line

Çankaya

2018

Entropy

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Abstract:The asymmetric bimodal exponential power (ABEP) distribution is an extension of the generalized gamma distribution to the real line via adding two parameters that fit the shape of peakedness in bimodality on the real line. The special values of peakedness parameters of the distribution are a combination of half Laplace and half normal distributions on the real line. The distribution has two parameters fitting the height of bimodality, so capacity of bimodality is enhanced by using these parameters. Adding a skewness parameter is considered to model asymmetry in data. The location-scale form of this distribution is proposed. The Fisher information matrix of these parameters in ABEP is obtained explicitly. Properties of ABEP are examined. Real data examples are given to illustrate the modelling capacity of ABEP. The replicated artificial data from maximum likelihood estimates of parameters of ABEP and other distributions having an algorithm for artificial data generation procedure are provided to test the similarity with real data. A brief simulation study is presented.

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An Atypical Age-Specific Pattern of Hepatocellular Carcinoma in Peru: A Threat for Andean Populations

et al. 2013

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BackgroundIn South America, the highest incidence of primary liver cancer is observed in Peru. However, national estimations on hepatocellular carcinoma incidence and mortality are approximated using aggregated data from surrounding countries. Thus, there is a lack of tangible information from Peru that impairs an accurate description of the local incidence, presentation, and outcomes of hepatocellular carcinoma. The present study attempts to fill this gap and assesses the clinical epidemiology of hepatocellular carcinoma in this country.MethodsA retrospective cohort study was conducted by analysing the medical charts of 1,541 patients with hepatocellular carcinoma admitted between 1997 and 2010 at the Peruvian national institute for cancer. The medical records including liver function, serologic status, and tumor pathology and stage were monitored. Statistical analyses were performed in order to characterize tumor presentation according to demographic features, risk factors, and regional origin.ResultsSurprisingly, the age distribution of the patient population displayed bimodality corresponding to two distinct age-based subpopulations. While an older group was in keeping with the age range observed for hepatocellular carcinoma around the world, a younger population displayed an abnormally juvenile mean age of 25.5 years old. In addition, each subpopulation displayed age-specific pathophysiological and clinical characteristics.ConclusionsThe analysis suggests two different age-specific natural histories of hepatocellular carcinoma in the Peruvian patient population. This otherwise unusual tumor process that is ongoing in younger patients leads to the hypothesis that there may be a Peru-endemic risk factor driving hepatocarcinogenesis in the local population.

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Gamma Mixture: Bimodality, Inflexions and L-Moments

Cited by 4 publications

References 10 publications

Understanding polyethylene wear mechanisms by modeling of debris size distributions

Understanding polyethylene wear mechanisms by modeling of debris size distributions

Asymmetric Bimodal Exponential Power Distribution on the Real Line

An Atypical Age-Specific Pattern of Hepatocellular Carcinoma in Peru: A Threat for Andean Populations

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