On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications

Para, Bilal Ahmad; Jan, Tariq Rashid

doi:10.1007/s40745-018-0184-x

Cited by 5 publications

(2 citation statements)

References 12 publications

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“…(2010), Gomez-Deniz and Calderin-Ojeda (2011), Al-Huniti and AL-Dayian (2012), Alamatsaz et al (2016), Para and Jan (2018), Hegazy et al (2018) and Almetwally (2020).…”

Section: Introductionmentioning

confidence: 99%

Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme

2023

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This paper discussed the Bayesian estimation for the unknown parameters, survival, hazard rate, and alternative hazard rate functions of the discrete Zubair Weibull distribution. Informative priors (gamma and beta) for the parameters of the distribution are assumed. The Bayes estimators are derived under the squared error and linear-exponential loss functions based on Type-II censored sample. Credible intervals for the parameters, survival, hazard rate, and alternative hazard rate functions are obtained. The Bayes predictors (point and interval) for the future observation are obtained considering two-sample prediction. A simulation study is performed using the Markov Chain Monte Carlo algorithm for different sample sizes, and censoring rates to assess the performance of the estimators. Moreover, three real data sets were applied to investigate the flexibility and applicability of the distribution.

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“…(2010), Gomez-Deniz and Calderin-Ojeda (2011), Al-Huniti and AL-Dayian (2012), Alamatsaz et al (2016), Para and Jan (2018), Hegazy et al (2018) and Almetwally (2020).…”

Section: Introductionmentioning

confidence: 99%

Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme

2023

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“…Helmy [19] obtained discrete Burr Type II distribution. Para and Jan [20] presented three parameter discrete generalized inverse Weibull distribution. Maiti et al [21] proposed discrete X-Gamma distribution.…”

Section: Introductionmentioning

confidence: 99%

A Discrete Analogue of Complementary Exponentiated-G Poisson Family of Distributions: Properties and Estimation

AL-Kashlan

Hegazy

EL-Helbawy

2023

AJPAS

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This paper presented a two discrete family of life distributions called discrete complementary exponentiated-G Poisson family and discrete Zubair-G family as a special case from discrete complementary exponentiated-G Poisson family. Some basic distributional properties are derived. Such as hazard rate, moments, quantiles, order statistics and Rényi Entropy. A special sub-model of the discrete Zubair-G family, called the discrete Zubair Weibull distribution is considered in detail. Discrete Zubair exponential distribution and discrete Zubair Rayleigh distribution are obtained as two special cases from discrete Zubair Weibull distribution. Method of maximum likelihood is used under Type-II censored samples for estimating the unknown parameters, survival, hazard rate and alternative hazard rate functions. Confidence intervals for the parameters are obtained. A simulation study is carried out to illustrate the theoretical results of the maximum likelihood estimation. Finally, the performance of the new distribution is compared with existing distributions using applications of three real data sets to show the suitability and flexibility of the proposed model.

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E-Bayesian and Hierarchical Bayesian Estimations for the Inverse Weibull Distribution

et al. 2021

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On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications

Cited by 5 publications

References 12 publications

Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme

Bayesian Estimation and Prediction for Discrete Zubair Weibull Distribution under Type-II Censoring Scheme

A Discrete Analogue of Complementary Exponentiated-G Poisson Family of Distributions: Properties and Estimation

E-Bayesian and Hierarchical Bayesian Estimations for the Inverse Weibull Distribution

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