Odd Hyperbolic Cosine-FG Family of Lifetime Distributions

Kharazmi, Omid; Saadatinik, Ali; Alizadeh, Morad; Hamedani, G. G.

doi:10.2991/jsta.d.191112.003

Cited by 5 publications

(4 citation statements)

References 14 publications

(19 reference statements)

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“…Motivated by idea of Alzaatreh et al [2], a new class of statistical distributions have proposed by Kharazmi et al [7]. The new model is constructed by applying Alzaattreh idea to the hyperbolic cosine-F (HC F) family of lifetime distributions.…”

Section: Preliminaries Of Hcf and Ohcfg Lifetime Modelsmentioning

confidence: 99%

“…In the Sect. 2, we review the main statistical and reliability properties of recently proposed model by Kharazmi et al [7]. In Sect.…”

Section: Introductionmentioning

confidence: 98%

“…Generating new model based on this method resulted in creating very flexible statistical model. Recently, Kharazmi et al [7] have introduced a new general family of lifetime distribution based on the odd ratio of a parent distribution G for general hyperbolic cosine-F (HC F) family of lifetime distributions that recently proposed by Kharazmi and Saadatinik [6]. This new model will be denoted by odd-HC F-G (or O H C F G) distribution.…”

Section: Introductionmentioning

confidence: 99%

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Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution

2019

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In the present paper, we introduce a new lifetime distribution based on the general odd hyperbolic cosine-FG model. Some important properties of proposed model including survival function, quantile function, hazard function, order statistic are obtained. In addition estimating unknown parameters of this model will be examined from the perspective of classic and Bayesian statistics. Moreover, an example of real data set is studied; point and interval estimations of all parameters are obtained by maximum likelihood, bootstrap (parametric and non-parametric) and Bayesian procedures. Finally, the superiority of proposed model in terms of parent exponential distribution over other fundamental statistical distributions is shown via the example of real observations.

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Section: Preliminaries Of Hcf and Ohcfg Lifetime Modelsmentioning

confidence: 99%

“…In the Sect. 2, we review the main statistical and reliability properties of recently proposed model by Kharazmi et al [7]. In Sect.…”

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution

2019

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“…Other trigonometric families of distributions have been developed. See, for instance, beta trigonometric distribution by [26], hyperbolic cosine-F family [27], odd hyperbolic cosine family of lifetime distributions by [28], odd hyperbolic cosine exponential-exponential distribution by [29], transmuted arcsine distribution by [26], the arcsine exponentiated-X family by [30].…”

Section: Introductionmentioning

confidence: 99%

Bayesian and Non-Bayesian Analysis for the Sine Generalized Linear Exponential Model under Progressively Censored Data

Alotaibi,

Al-Moisheer,

Elbatal

et al. 2024

CMES

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This article introduces a novel variant of the generalized linear exponential (GLE) distribution, known as the sine generalized linear exponential (SGLE) distribution. The SGLE distribution utilizes the sine transformation to enhance its capabilities. The updated distribution is very adaptable and may be efficiently used in the modeling of survival data and dependability issues. The suggested model incorporates a hazard rate function (HRF) that may display a rising, J-shaped, or bathtub form, depending on its unique characteristics. This model includes many well-known lifespan distributions as separate sub-models. The suggested model is accompanied with a range of statistical features. The model parameters are examined using the techniques of maximum likelihood and Bayesian estimation using progressively censored data. In order to evaluate the effectiveness of these techniques, we provide a set of simulated data for testing purposes. The relevance of the newly presented model is shown via two real-world dataset applications, highlighting its superiority over other respected similar models.

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Bayesian inference using MCMC algorithm of sine truncated Lomax distribution with application

Elgarhy,

Alsadat,

Hassan

et al. 2023

AIP Advances

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This study makes a significant contribution to the creation of a versatile trigonometric extension of the well-known truncated Lomax distribution. Specifically, we construct a novel one-parameter distribution known as the sine truncated Lomax (STLo) distribution using characteristics from the sine generalized family of distributions. Quantiles, moments, stress–strength reliability, some information measures, residual moments, and reversed residual moments are a few of the crucial elements and characteristics we explored in our research. The flexibility of the STLo distribution in terms of the forms of the hazard rate and probability density functions illustrates how effectively it is able to match many types of data. Maximum likelihood and Bayesian estimation techniques are used to estimate the model parameter. The squared error loss function is employed in the Bayesian approach. To evaluate how various estimates behave, a Monte Carlo simulation study is carried out with the aid of a useful algorithm. Additionally, the STLo distribution has a good fit, making it a viable option when compared to certain other competing models using specific criteria to describe the given dataset.

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Odd Hyperbolic Cosine-FG Family of Lifetime Distributions

Cited by 5 publications

References 14 publications

Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution

Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution

Bayesian and Non-Bayesian Analysis for the Sine Generalized Linear Exponential Model under Progressively Censored Data

Bayesian inference using MCMC algorithm of sine truncated Lomax distribution with application

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